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1012022210112 = 263192111314779
BaseRepresentation
bin11101011101000010011…
…10010110111001000000
310120202012120022222101020
432232201032112321000
5113040110141210422
62052525552105440
7133054565565204
oct16564116267100
93522176288336
101012022210112
11360218177331
12144178235280
1374582c08734
1436da6da6b04
151b4d1e2295c
hexeba1396e40

1012022210112 has 112 divisors (see below), whose sum is σ = 2831930937600. Its totient is φ = 318071093760.

The previous prime is 1012022210107. The next prime is 1012022210161. The reversal of 1012022210112 is 2110122202101.

It is a junction number, because it is equal to n+sod(n) for n = 1012022210091 and 1012022210100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112339 + ... + 1427117.

Almost surely, 21012022210112 is an apocalyptic number.

1012022210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012022210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415965468800).

1012022210112 is an abundant number, since it is smaller than the sum of its proper divisors (1819908727488).

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

1012022210112 is a wasteful number, since it uses less digits than its factorization.

1012022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315024 (or 1315014 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012022210112 its reverse (2110122202101), we get a palindrome (3122144412213).

The spelling of 1012022210112 in words is "one trillion, twelve billion, twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 211 228 304 422 456 608 633 844 912 1216 1266 1688 1824 2532 3376 3648 4009 5064 6752 8018 10128 12027 13504 16036 20256 24054 32072 40512 48108 64144 96216 128288 192432 256576 384864 769728 1314779 2629558 3944337 5259116 7888674 10518232 15777348 21036464 24980801 31554696 42072928 49961602 63109392 74942403 84145856 99923204 126218784 149884806 199846408 252437568 277418369 299769612 399692816 554836738 599539224 799385632 832255107 1109673476 1199078448 1598771264 1664510214 2219346952 2398156896 3329020428 4438693904 4796313792 5270949011 6658040856 8877387808 10541898022 13316081712 15812847033 17754775616 21083796044 26632163424 31625694066 42167592088 53264326848 63251388132 84335184176 126502776264 168670368352 253005552528 337340736704 506011105056 1012022210112