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200002001002000 = 24532321120606017
BaseRepresentation
bin101101011110011010011000…
…001110010101111000010000
3222020011000010022212111021121
4231132122120032111320100
5202203313044224031000
61545211352325532024
760061445013461551
oct5536323016257020
9866130108774247
10200002001002000
11587aa41058480a
121a521889574014
13877a1529c7332
1437562116a0328
15181c79ea9db1a
hexb5e698395e10

200002001002000 has 160 divisors (see below), whose sum is σ = 507022777108224. Its totient is φ = 76159835136000.

The previous prime is 200002001001997. The next prime is 200002001002007. The reversal of 200002001002000 is 200100200002.

It is a happy number.

200002001002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200002001002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597009 + ... + 20009008.

Almost surely, 2200002001002000 is an apocalyptic number.

200002001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253511388554112).

200002001002000 is an abundant number, since it is smaller than the sum of its proper divisors (307020776106224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200002001002000 is a wasteful number, since it uses less digits than its factorization.

200002001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606274 (or 20606258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200002001002000 its reverse (200100200002), we get a palindrome (200202101202002).

The spelling of 200002001002000 in words is "two hundred trillion, two billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 211 230 250 368 400 422 460 500 575 844 920 1000 1055 1150 1688 1840 2000 2110 2300 2875 3376 4220 4600 4853 5275 5750 8440 9200 9706 10550 11500 16880 19412 21100 23000 24265 26375 38824 42200 46000 48530 52750 77648 84400 97060 105500 121325 194120 211000 242650 388240 422000 485300 606625 970600 1213250 1941200 2426500 4853000 9706000 20606017 41212034 82424068 103030085 164848136 206060170 329696272 412120340 473938391 515150425 824240680 947876782 1030300850 1648481360 1895753564 2060601700 2369691955 2575752125 3791507128 4121203400 4347869587 4739383910 5151504250 7583014256 8242406800 8695739174 9478767820 10303008500 11848459775 17391478348 18957535640 20606017000 21739347935 23696919550 34782956696 37915071280 41212034000 43478695870 47393839100 59242298875 69565913392 86957391740 94787678200 100001000501 108696739675 118484597750 173914783480 189575356400 200002001002 217393479350 236969195500 347829566960 400004002004 434786958700 473938391000 500005002505 543483698375 800008004008 869573917400 947876782000 1000010005010 1086967396750 1600016008016 1739147834800 2000020010020 2173934793500 2500025012525 4000040020040 4347869587000 5000050025050 8000080040080 8695739174000 10000100050100 12500125062625 20000200100200 25000250125250 40000400200400 50000500250500 100001000501000 200002001002000