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107258612200 = 23525310118737
BaseRepresentation
bin110001111100100011…
…1001000100111101000
3101020212001000001021121
41203321013020213220
53224131201042300
6121135100145024
710514653106125
oct1437107104750
9336761001247
10107258612200
1141540765963
1218954838174
13a16458204c
14529709974c
152bcb5d981a
hex18f91c89e8

107258612200 has 48 divisors (see below), whose sum is σ = 254081511180. Its totient is φ = 42093941760.

The previous prime is 107258612171. The next prime is 107258612221. The reversal of 107258612200 is 2216852701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81964254436 + 25294357764 = 286294^2 + 159042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5048769 + ... + 5069968.

Almost surely, 2107258612200 is an apocalyptic number.

107258612200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107258612200 is an abundant number, since it is smaller than the sum of its proper divisors (146822898980).

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

107258612200 is a wasteful number, since it uses less digits than its factorization.

107258612200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118806 (or 10118797 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 107258612200 in words is "one hundred seven billion, two hundred fifty-eight million, six hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 10118737 20237474 40474948 50593685 80949896 101187370 202374740 252968425 404749480 505936850 536293061 1011873700 1072586122 2023747400 2145172244 2681465305 4290344488 5362930610 10725861220 13407326525 21451722440 26814653050 53629306100 107258612200