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201200002110100 = 225272315182760891
BaseRepresentation
bin101101101111110110000110…
…101001111001001010010100
3222101101112101002022101001201
4231233312012221321022110
5202332430101020010400
61551530001023202244
760244135421046460
oct5557660651711224
9871345332271051
10201200002110100
1159121494a10824
121a695aa9746384
138836104135166
1437981bc53b4a0
15183da1904506a
hexb6fd86a79294

201200002110100 has 144 divisors (see below), whose sum is σ = 524118770251776. Its totient is φ = 65546624880000.

The previous prime is 201200002110097. The next prime is 201200002110109. The reversal of 201200002110100 is 1011200002102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200002110109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38949346 + ... + 43811545.

It is an arithmetic number, because the mean of its divisors is an integer number (3639713682304).

Almost surely, 2201200002110100 is an apocalyptic number.

201200002110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200002110100 is an abundant number, since it is smaller than the sum of its proper divisors (322918768141676).

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

201200002110100 is a wasteful number, since it uses less digits than its factorization.

201200002110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82761086 (or 82761079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201200002110100 its reverse (1011200002102), we get a palindrome (202211202112202).

The spelling of 201200002110100 in words is "two hundred one trillion, two hundred billion, two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 151 161 175 230 302 322 350 460 575 604 644 700 755 805 1057 1150 1510 1610 2114 2300 3020 3220 3473 3775 4025 4228 5285 6946 7550 8050 10570 13892 15100 16100 17365 21140 24311 26425 34730 48622 52850 69460 86825 97244 105700 121555 173650 243110 347300 486220 607775 1215550 2431100 82760891 165521782 331043564 413804455 579326237 827608910 1158652474 1655217820 1903500493 2069022275 2317304948 2896631185 3807000986 4138044550 5793262370 7614001972 8276089100 9517502465 11586524740 12496894541 13324503451 14483155925 19035004930 24993789082 26649006902 28966311850 38070009860 47587512325 49987578164 53298013804 57932623700 62484472705 66622517255 87478261787 95175024650 124968945410 133245034510 174956523574 190350049300 249937890820 266490069020 287428574443 312422363525 333112586275 349913047148 437391308935 574857148886 624844727050 666225172550 874782617870 1149714297772 1249689454100 1332450345100 1437142872215 1749565235740 2012000021101 2186956544675 2874285744430 4024000042202 4373913089350 5748571488860 7185714361075 8048000084404 8747826178700 10060000105505 14371428722150 20120000211010 28742857444300 40240000422020 50300000527525 100600001055050 201200002110100