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107150052100 = 225271311774731
BaseRepresentation
bin110001111001010100…
…1000000101100000100
3101020120110201121211011
41203302221000230010
53223420403131400
6121120221252004
710512164262310
oct1436251005404
9336513647734
10107150052100
1141495458073
1218924404004
13a147c321c0
1452868bab40
152bc1ce38ba
hex18f2a40b04

107150052100 has 72 divisors (see below), whose sum is σ = 286173086528. Its totient is φ = 33911222400.

The previous prime is 107150052077. The next prime is 107150052101. The reversal of 107150052100 is 1250051701.

It is a super-2 number, since 2×1071500521002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107150052101) 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, 5878266 + ... + 5896465.

Almost surely, 2107150052100 is an apocalyptic number.

107150052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107150052100 is an abundant number, since it is smaller than the sum of its proper divisors (179023034428).

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

107150052100 is a wasteful number, since it uses less digits than its factorization.

107150052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774765 (or 11774758 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 22.

It can be divided in two parts, 1071500 and 52100, that added together give a square (1123600 = 10602).

The spelling of 107150052100 in words is "one hundred seven billion, one hundred fifty million, fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11774731 23549462 47098924 58873655 82423117 117747310 153071503 164846234 235494620 294368275 306143006 329692468 412115585 588736550 612286012 765357515 824231170 1071500521 1177473100 1530715030 1648462340 2060577925 2143001042 3061430060 3826787575 4121155850 4286002084 5357502605 7653575150 8242311700 10715005210 15307150300 21430010420 26787513025 53575026050 107150052100