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10211122121112 = 23321156692274269
BaseRepresentation
bin1001010010010111011001…
…0011101000100110011000
31100011011200122202020020100
42110211312103220212120
52314244334230333422
633414531424455400
72102505060641343
oct224456623504630
940134618666210
1010211122121112
113287570263450
12118ab9817a560
13590b9b78c543
142743143cd45a
1512a934a2a7ac
hex949764e8998

10211122121112 has 96 divisors (see below), whose sum is σ = 30174559506000. Its totient is φ = 3093732245760.

The previous prime is 10211122121107. The next prime is 10211122121251. The reversal of 10211122121112 is 21112122111201.

It is a happy number.

10211122121112 is a `hidden beast` number, since 10 + 211 + 1 + 221 + 211 + 12 = 666.

It is a super-2 number, since 2×102111221211122 (a number of 27 digits) contains 22 as substring.

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

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, 3352714 + ... + 5626982.

Almost surely, 210211122121112 is an apocalyptic number.

10211122121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211122121112 is an abundant number, since it is smaller than the sum of its proper divisors (19963437384888).

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

10211122121112 is a wasteful number, since it uses less digits than its factorization.

10211122121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279961 (or 2279954 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10211122121112 its reverse (21112122111201), we get a palindrome (31323244232313).

The spelling of 10211122121112 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5669 11338 17007 22676 34014 45352 51021 62359 68028 102042 124718 136056 187077 204084 249436 374154 408168 498872 561231 748308 1122462 1496616 2244924 2274269 4489848 4548538 6822807 9097076 13645614 18194152 20468421 25016959 27291228 40936842 50033918 54582456 75050877 81873684 100067836 150101754 163747368 200135672 225152631 300203508 450305262 600407016 900610524 1801221048 12892830961 25785661922 38678492883 51571323844 77356985766 103142647688 116035478649 141821140571 154713971532 232070957298 283642281142 309427943064 425463421713 464141914596 567284562284 850926843426 928283829192 1134569124568 1276390265139 1701853686852 2552780530278 3403707373704 5105561060556 10211122121112