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107018371120 = 2453143152569
BaseRepresentation
bin110001110101011001…
…0101100000000110000
3101020020021221112110211
41203222302230000300
53223133200333440
6121055155033504
710506005100613
oct1435262540060
9336207845424
10107018371120
1141428098211
12188a829b894
13a12687856b
14527320017a
152bb5481eea
hex18eacac030

107018371120 has 40 divisors (see below), whose sum is σ = 256844096640. Its totient is φ = 41426465280.

The previous prime is 107018371099. The next prime is 107018371127. The reversal of 107018371120 is 21173810701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1070183711202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (107018371127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21573805 + ... + 21578764.

It is an arithmetic number, because the mean of its divisors is an integer number (6421102416).

Almost surely, 2107018371120 is an apocalyptic number.

107018371120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107018371120 is an abundant number, since it is smaller than the sum of its proper divisors (149825725520).

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

107018371120 is a wasteful number, since it uses less digits than its factorization.

107018371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43152613 (or 43152607 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 31.

The spelling of 107018371120 in words is "one hundred seven billion, eighteen million, three hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 43152569 86305138 172610276 215762845 345220552 431525690 690441104 863051380 1337729639 1726102760 2675459278 3452205520 5350918556 6688648195 10701837112 13377296390 21403674224 26754592780 53509185560 107018371120