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200113141132100 = 225271972292081353
BaseRepresentation
bin101101100000000001111000…
…101100010010101101000100
3222020112121222212122002010102
4231200001320230102231010
5202212123203112211400
61545334412524343232
760102461121134510
oct5540017054225504
9866477885562112
10200113141132100
11588425632594a9
121a53b3260a4b18
138787785485a21
14375b75606b140
151820606d079d5
hexb60078b12b44

200113141132100 has 144 divisors (see below), whose sum is σ = 522473136662400. Its totient is φ = 64990132945920.

The previous prime is 200113141132039. The next prime is 200113141132199. The reversal of 200113141132100 is 1231141311002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95105024 + ... + 97186376.

Almost surely, 2200113141132100 is an apocalyptic number.

200113141132100 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 200113141132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261236568331200).

200113141132100 is an abundant number, since it is smaller than the sum of its proper divisors (322359995530300).

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

200113141132100 is a wasteful number, since it uses less digits than its factorization.

200113141132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088622 (or 2088615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 200113141132100 its reverse (1231141311002), we get a palindrome (201344282443102).

The spelling of 200113141132100 in words is "two hundred trillion, one hundred thirteen billion, one hundred forty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 7229 13300 14458 28916 36145 50603 72290 101206 137351 144580 180725 202412 253015 274702 361450 506030 549404 686755 722900 961457 1012060 1265075 1373510 1922914 2081353 2530150 2747020 3433775 3845828 4162706 4807285 5060300 6867550 8325412 9614570 10406765 13735100 14569471 19229140 20813530 24036425 29138942 39545707 41627060 48072850 52033825 58277884 72847355 79091414 96145700 104067650 145694710 158182828 197728535 208135300 276819949 291389420 364236775 395457070 553639898 728473550 790914140 988642675 1107279796 1384099745 1456947100 1977285350 2768199490 3954570700 5536398980 6920498725 13840997450 15046100837 27681994900 30092201674 60184403348 75230504185 105322705859 150461008370 210645411718 285875915903 300922016740 376152520925 421290823436 526613529295 571751831806 752305041850 1053227058590 1143503663612 1429379579515 1504610083700 2001131411321 2106454117180 2633067646475 2858759159030 4002262822642 5266135292950 5717518318060 7146897897575 8004525645284 10005657056605 10532270585900 14293795795150 20011314113210 28587591590300 40022628226420 50028285283025 100056570566050 200113141132100