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100102112202222 = 232133280113041883
BaseRepresentation
bin10110110000101011010110…
…110101101100110111101110
3111010102200001022102212021100
4112300223112311230313232
5101110033111210432342
6552522135301343530
730041065441425564
oct2660532665546756
9433380038385240
10100102112202222
1129994081755049
12b288562a07ba6
1343b1786426590
141aa0d7a5b7a34
15b88d44181e4c
hex5b0ad6d6cdee

100102112202222 has 48 divisors (see below), whose sum is σ = 233578733916528. Its totient is φ = 30799708531200.

The previous prime is 100102112202139. The next prime is 100102112202233. The reversal of 100102112202222 is 222202211201001.

It is a happy number.

100102112202222 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 211 + 220 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100102112202195 and 100102112202204.

It is a congruent number.

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, 1154493 + ... + 14196375.

It is an arithmetic number, because the mean of its divisors is an integer number (4866223623261).

Almost surely, 2100102112202222 is an apocalyptic number.

100102112202222 is an abundant number, since it is smaller than the sum of its proper divisors (133476621714306).

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

100102112202222 is a wasteful number, since it uses less digits than its factorization.

100102112202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074705 (or 13074702 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100102112202222 its reverse (222202211201001), we get a palindrome (322304323403223).

The spelling of 100102112202222 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 32801 65602 98403 196806 295209 426413 590418 852826 1279239 2558478 3837717 7675434 13041883 26083766 39125649 78251298 117376947 169544479 234753894 339088958 508633437 1017266874 1525900311 3051800622 427786804283 855573608566 1283360412849 2566720825698 3850081238547 5561228455679 7700162477094 11122456911358 16683685367037 33367370734074 50051056101111 100102112202222