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11122920972 = 2234791034219
BaseRepresentation
bin10100101101111101…
…00100111000001100
31001201011201221010000
422112332210320030
5140234431432342
65035414444300
7542431161012
oct122676447014
931634657100
1011122920972
114798665179
1221a5063690
131083534c57
1477734a8b2
1545177044c
hex296fa4e0c

11122920972 has 120 divisors (see below), whose sum is σ = 29738508800. Its totient is φ = 3624308064.

The previous prime is 11122920953. The next prime is 11122920979. The reversal of 11122920972 is 27902922111.

It is a happy number.

11122920972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11122920979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2634279 + ... + 2638497.

Almost surely, 211122920972 is an apocalyptic number.

11122920972 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 11122920972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869254400).

11122920972 is an abundant number, since it is smaller than the sum of its proper divisors (18615587828).

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

11122920972 is a wasteful number, since it uses less digits than its factorization.

11122920972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11122920972 in words is "eleven billion, one hundred twenty-two million, nine hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 103 108 158 162 206 237 309 316 324 412 474 618 711 927 948 1236 1422 1854 2133 2781 2844 3708 4219 4266 5562 6399 8137 8343 8438 8532 11124 12657 12798 16274 16686 16876 24411 25314 25596 32548 33372 37971 48822 50628 73233 75942 97644 113913 146466 151884 219699 227826 292932 333301 341739 434557 439398 455652 659097 666602 683478 869114 878796 999903 1303671 1318194 1333204 1366956 1738228 1999806 2607342 2636388 2999709 3911013 3999612 5214684 5999418 7822026 8999127 11733039 11998836 15644052 17998254 23466078 26997381 34330003 35199117 35996508 46932156 53994762 68660006 70398234 102990009 107989524 137320012 140796468 205980018 308970027 411960036 617940054 926910081 1235880108 1853820162 2780730243 3707640324 5561460486 11122920972