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10240433112 = 23371331151253
BaseRepresentation
bin10011000100110000…
…01001101111011000
3222102200011220100110
421202120021233120
5131433022324422
64412052004320
7511524150060
oct114230115730
928380156313
1010240433112
114385503a68
121b996006a0
13c727604a0
146d206c3a0
153ee05260c
hex262609bd8

10240433112 has 128 divisors (see below), whose sum is σ = 32525660160. Its totient is φ = 2613634560.

The previous prime is 10240433069. The next prime is 10240433141. The reversal of 10240433112 is 21133404201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7923 + ... + 143330.

It is an arithmetic number, because the mean of its divisors is an integer number (254106720).

Almost surely, 210240433112 is an apocalyptic number.

10240433112 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 10240433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262830080).

10240433112 is an abundant number, since it is smaller than the sum of its proper divisors (22285227048).

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

10240433112 is a wasteful number, since it uses less digits than its factorization.

10240433112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151313 (or 151309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10240433112 its reverse (21133404201), we get a palindrome (31373837313).

The spelling of 10240433112 in words is "ten billion, two hundred forty million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 33852 67704 151253 302506 453759 605012 907518 1058771 1210024 1815036 1966289 2117542 3176313 3630072 3932578 4235084 4688843 5898867 6352626 7865156 8470168 9377686 11797734 12705252 13764023 14066529 15730312 18755372 23595468 25410504 27528046 28133058 32821901 37510744 41292069 47190936 55056092 56266116 60954959 65643802 82584138 98465703 110112184 112532232 121909918 131287604 165168276 182864877 196931406 243819836 262575208 330336552 365729754 393862812 426684713 487639672 731459508 787725624 853369426 1280054139 1462919016 1706738852 2560108278 3413477704 5120216556 10240433112