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10220672112 = 2437132123027
BaseRepresentation
bin10011000010011001…
…10001010001110000
3222101021222221100120
421201030301101300
5131412443001422
64410104250240
7511164164610
oct114114612160
928337887316
1010220672112
114375337262
121b92a70980
13c6b631aa1
146cd5a6a40
153ec44c45c
hex261331470

10220672112 has 80 divisors (see below), whose sum is σ = 30199471872. Its totient is φ = 2917854720.

The previous prime is 10220672093. The next prime is 10220672149. The reversal of 10220672112 is 21127602201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432343 + ... + 455369.

Almost surely, 210220672112 is an apocalyptic number.

10220672112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220672112 is an abundant number, since it is smaller than the sum of its proper divisors (19978799760).

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

10220672112 is a wasteful number, since it uses less digits than its factorization.

10220672112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24366 (or 24360 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10220672112 in words is "ten billion, two hundred twenty million, six hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1321 2642 3963 5284 7926 9247 10568 15852 18494 21136 23027 27741 31704 36988 46054 55482 63408 69081 73976 92108 110964 138162 147952 161189 184216 221928 276324 322378 368432 443856 483567 552648 644756 967134 1105296 1289512 1934268 2579024 3868536 7737072 30418667 60837334 91256001 121674668 182512002 212930669 243349336 365024004 425861338 486698672 638792007 730048008 851722676 1277584014 1460096016 1703445352 2555168028 3406890704 5110336056 10220672112