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12440100112 = 2411316734031
BaseRepresentation
bin10111001010111110…
…01101110100010000
31012002222020120012121
423211133031310100
5200434131200422
65414230304024
7620164051306
oct134537156420
935088216177
1012440100112
115304126380
1224b21b8014
1312333a63ab
14860260276
154cc2058c7
hex2e57cdd10

12440100112 has 80 divisors (see below), whose sum is σ = 27547951104. Its totient is φ = 5390352000.

The previous prime is 12440100083. The next prime is 12440100161. The reversal of 12440100112 is 21100104421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348537 + ... + 382567.

Almost surely, 212440100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773975552).

12440100112 is an abundant number, since it is smaller than the sum of its proper divisors (15107850992).

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

12440100112 is a wasteful number, since it uses less digits than its factorization.

12440100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34148 (or 34142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12440100112 its reverse (21100104421), we get a palindrome (33540204533).

The spelling of 12440100112 in words is "twelve billion, four hundred forty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 67 88 124 134 176 248 268 341 496 536 682 737 1072 1364 1474 2077 2728 2948 4154 5456 5896 8308 11792 16616 22847 33232 34031 45694 68062 91388 136124 182776 272248 365552 374341 544496 748682 1054961 1497364 2109922 2280077 2994728 4219844 4560154 5989456 8439688 9120308 11604571 16879376 18240616 23209142 25080847 36481232 46418284 50161694 70682387 92836568 100323388 141364774 185673136 200646776 282729548 401293552 565459096 777506257 1130918192 1555012514 3110025028 6220050056 12440100112