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12700116 = 223211132467
BaseRepresentation
bin110000011100…
…100111010100
3212220020021200
4300130213110
511222400431
61132112500
7212643402
oct60344724
925806250
1012700116
117194870
124305730
132828880
141988472
1511acee6
hexc1c9d4

12700116 has 72 divisors (see below), whose sum is σ = 37730784. Its totient is φ = 3551040.

The previous prime is 12700109. The next prime is 12700123. The reversal of 12700116 is 61100721.

It is an interprime number because it is at equal distance from previous prime (12700109) and next prime (12700123).

It is a super-2 number, since 2×127001162 = 322585892826912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3915 + ... + 6381.

Almost surely, 212700116 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 12700116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865392).

12700116 is an abundant number, since it is smaller than the sum of its proper divisors (25030668).

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

12700116 is a wasteful number, since it uses less digits than its factorization.

12700116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 12700116 is about 3563.7222113964. The cubic root of 12700116 is about 233.3113657323.

Adding to 12700116 its reverse (61100721), we get a palindrome (73800837).

The spelling of 12700116 in words is "twelve million, seven hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2467 2574 4934 5148 7401 9868 14802 22203 27137 29604 32071 44406 54274 64142 81411 88812 96213 108548 128284 162822 192426 244233 288639 325644 352781 384852 488466 577278 705562 976932 1058343 1154556 1411124 2116686 3175029 4233372 6350058 12700116