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206115202000 = 2453597332383
BaseRepresentation
bin1011111111110101101…
…1000110001111010000
3201201000112010010121101
42333331123012033100
511334110442431000
6234404340034144
720614504211161
oct2777533061720
9651015103541
10206115202000
117a45a726a54
1233b43692954
131658a221cb6
149d9431b768
155565265e6a
hex2ffd6c63d0

206115202000 has 160 divisors (see below), whose sum is σ = 507738216960. Its totient is φ = 80904153600.

The previous prime is 206115201979. The next prime is 206115202001. The reversal of 206115202000 is 202511602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206115202001) 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, 86492809 + ... + 86495191.

It is an arithmetic number, because the mean of its divisors is an integer number (3173363856).

Almost surely, 2206115202000 is an apocalyptic number.

206115202000 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 206115202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253869108480).

206115202000 is an abundant number, since it is smaller than the sum of its proper divisors (301623014960).

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

206115202000 is a wasteful number, since it uses less digits than its factorization.

206115202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 206115202000 its reverse (202511602), we get a palindrome (206317713602).

The spelling of 206115202000 in words is "two hundred six billion, one hundred fifteen million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 733 944 1000 1180 1466 1475 2000 2360 2383 2932 2950 3665 4720 4766 5864 5900 7330 7375 9532 11728 11800 11915 14660 14750 18325 19064 23600 23830 29320 29500 36650 38128 43247 47660 58640 59000 59575 73300 86494 91625 95320 118000 119150 140597 146600 172988 183250 190640 216235 238300 281194 293200 297875 345976 366500 432470 476600 562388 595750 691952 702985 733000 864940 953200 1081175 1124776 1191500 1405970 1466000 1729880 1746739 2162350 2249552 2383000 2811940 3459760 3493478 3514925 4324700 4766000 5405875 5623880 6986956 7029850 8649400 8733695 10811750 11247760 13973912 14059700 17298800 17467390 17574625 21623500 27947824 28119400 34934780 35149250 43247000 43668475 56238800 69869560 70298500 86494000 87336950 103057601 139739120 140597000 174673900 206115202 218342375 281194000 349347800 412230404 436684750 515288005 698695600 824460808 873369500 1030576010 1648921616 1746739000 2061152020 2576440025 3493478000 4122304040 5152880050 8244608080 10305760100 12882200125 20611520200 25764400250 41223040400 51528800500 103057601000 206115202000