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107038033512 = 23323219074421
BaseRepresentation
bin110001110101111110…
…1101100011001101000
3101020021122221111012120
41203223331230121220
53223203214033022
6121101140311240
710506334162434
oct1435375543150
9336248844176
10107038033512
11414381a7923
12188b29a2520
13a12a971107
145275a7b9c4
152bb7067d5c
hex18ebf6c668

107038033512 has 96 divisors (see below), whose sum is σ = 279945499680. Its totient is φ = 34102456960.

The previous prime is 107038033511. The next prime is 107038033519. The reversal of 107038033512 is 215330830701.

It is a super-2 number, since 2×1070380335122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107038033511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24209062 + ... + 24213482.

It is an arithmetic number, because the mean of its divisors is an integer number (2916098955).

Almost surely, 2107038033512 is an apocalyptic number.

107038033512 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 107038033512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139972749840).

107038033512 is an abundant number, since it is smaller than the sum of its proper divisors (172907466168).

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

107038033512 is a wasteful number, since it uses less digits than its factorization.

107038033512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 107038033512 in words is "one hundred seven billion, thirty-eight million, thirty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 1907 2116 3174 3814 4232 4421 5721 6348 7628 8842 11442 12696 13263 15256 17684 22884 26526 35368 43861 45768 53052 87722 101683 106104 131583 175444 203366 263166 305049 350888 406732 526332 610098 813464 1008803 1052664 1220196 2017606 2338709 2440392 3026409 4035212 4677418 6052818 7016127 8070424 8430847 9354836 12105636 14032254 16861694 18709672 24211272 25292541 28064508 33723388 50585082 56129016 67446776 101170164 193909481 202340328 387818962 581728443 775637924 1163456886 1551275848 2326913772 4459918063 4653827544 8919836126 13379754189 17839672252 26759508378 35679344504 53519016756 107038033512