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100102220211112 = 23721955012443219
BaseRepresentation
bin10110110000101011011101…
…010001101110001110101000
3111010102200022211200021121121
4112300223131101232032220
5101110033321333223422
6552522154120345024
730041101222455400
oct2660533521561650
9433380284607547
10100102220211112
1129994127716799
12b288593015174
1343b17a2912572
141aa0d8aa91800
15b88d4d8b98c7
hex5b0add46e3a8

100102220211112 has 96 divisors (see below), whose sum is σ = 229868399124000. Its totient is φ = 40635601776000.

The previous prime is 100102220211083. The next prime is 100102220211143. The reversal of 100102220211112 is 211112022201001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39749839 + ... + 42193057.

It is an arithmetic number, because the mean of its divisors is an integer number (2394462490875).

Almost surely, 2100102220211112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114934199562000).

100102220211112 is an abundant number, since it is smaller than the sum of its proper divisors (129766178912888).

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

100102220211112 is a wasteful number, since it uses less digits than its factorization.

100102220211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448759 (or 2448748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102220211112 its reverse (211112022201001), we get a palindrome (311214242412113).

The spelling of 100102220211112 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 5501 7448 11002 22004 38507 44008 77014 104519 154028 209038 269549 308056 418076 539098 731633 836152 1078196 1463266 2156392 2443219 2926532 4886438 5121431 5853064 9772876 10242862 17102533 19545752 20485724 34205066 40971448 46421161 68410132 92842322 119717731 136820264 185684644 239435462 324948127 371369288 478870924 649896254 957741848 1299792508 2274636889 2599585016 4549273778 9098547556 13440147719 18197095112 26880295438 53760590876 94081034033 107521181752 188162068066 255362806661 376324136132 510725613322 658567238231 752648272264 1021451226644 1317134476462 1787539646627 2042902453288 2634268952924 3575079293254 5268537905848 7150158586508 12512777526389 14300317173016 25025555052778 50051110105556 100102220211112