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100110221112222 = 2323113110753127363
BaseRepresentation
bin10110110000110010111010…
…001010101111001110011110
3111010110102222102210011121100
4112300302322022233032132
5101110201213101042342
6552530000051413530
730041503414140606
oct2660627212571636
9433412872704540
10100110221112222
1129997562a4a162
12b28a0465b42a6
1343b24793ac889
141aa1509511c06
15b8916aee1e4c
hex5b0cba2af39e

100110221112222 has 96 divisors (see below), whose sum is σ = 225634361711616. Its totient is φ = 32043871641600.

The previous prime is 100110221112217. The next prime is 100110221112257. The reversal of 100110221112222 is 222211122011001.

100110221112222 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 221 + 112 + 222 = 666.

It is a super-2 number, since 2×1001102211122222 (a number of 29 digits) contains 22 as substring.

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 = 100110221112195 and 100110221112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785959113 + ... + 786086475.

It is an arithmetic number, because the mean of its divisors is an integer number (2350357934496).

Almost surely, 2100110221112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110221112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112817180855808).

100110221112222 is an abundant number, since it is smaller than the sum of its proper divisors (125524140599394).

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

100110221112222 is a wasteful number, since it uses less digits than its factorization.

100110221112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138286 (or 138283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100110221112222 its reverse (222211122011001), we get a palindrome (322321343123223).

The spelling of 100110221112222 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 131 186 262 279 393 558 786 1179 2358 4061 8122 10753 12183 21506 24366 32259 36549 64518 73098 96777 127363 193554 254726 333343 382089 666686 764178 1000029 1146267 1408643 2000058 2292534 2817286 3000087 3948253 4225929 6000174 7896506 8451858 11844759 12677787 16684553 23689518 25355574 33369106 35534277 43667933 50053659 71068554 87335866 100107318 131003799 150160977 262007598 300321954 393011397 517221143 786022794 1034442286 1369534339 1551663429 2739068678 3103326858 4108603017 4654990287 8217206034 9309980574 12325809051 24651618102 42455564509 84911129018 127366693527 179408998409 254733387054 358817996818 382100080581 538226995227 764200161162 1076453990454 1614680985681 3229361971362 5561678950679 11123357901358 16685036852037 33370073704074 50055110556111 100110221112222