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100212222200022 = 23347385431024433
BaseRepresentation
bin10110110010010001111001…
…111010000000100011010110
3111010211012021001211022021000
4112302101321322000203112
5101113334112340400042
6553044505341004130
730052044200111412
oct2662217172004326
9433735231738230
10100212222200022
1129a268459a5129
12b2a5972553646
1343bbc8365782a
141aa6424231d42
15b8bb3ac5674c
hex5b2479e808d6

100212222200022 has 64 divisors (see below), whose sum is σ = 227438116392960. Its totient is φ = 32692468943232.

The previous prime is 100212222199987. The next prime is 100212222200099. The reversal of 100212222200022 is 220002222212001.

100212222200022 is a `hidden beast` number, since 10 + 0 + 212 + 222 + 200 + 0 + 22 = 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 = 100212222199968 and 100212222200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97309918 + ... + 98334350.

It is an arithmetic number, because the mean of its divisors is an integer number (3553720568640).

Almost surely, 2100212222200022 is an apocalyptic number.

100212222200022 is an abundant number, since it is smaller than the sum of its proper divisors (127225894192938).

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

100212222200022 is a wasteful number, since it uses less digits than its factorization.

100212222200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063034 (or 1063028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100212222200022 its reverse (220002222212001), we get a palindrome (320214444412023).

The spelling of 100212222200022 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 38543 77086 115629 231258 346887 693774 1024433 1040661 1811521 2048866 2081322 3073299 3623042 5434563 6146598 9219897 10869126 16303689 18439794 27659691 32607378 48148351 48911067 55319382 96296702 97822134 144445053 288890106 433335159 866670318 1300005477 2600010954 39484721119 78969442238 118454163357 236908326714 355362490071 710724980142 1066087470213 1855781892593 2132174940426 3711563785186 5567345677779 11134691355558 16702037033337 33404074066674 50106111100011 100212222200022