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107213641350 = 23523971800397
BaseRepresentation
bin110001111011001101…
…1100101011010000110
3101020201220101021212120
41203312123211122012
53224033143010400
6121130412230410
710513565625564
oct1436633453206
9336656337776
10107213641350
114151833a672
121894176b406
13a158167a8a
145291110a34
152bc76a4ca0
hex18f66e5686

107213641350 has 48 divisors (see below), whose sum is σ = 266559726288. Its totient is φ = 28518272640.

The previous prime is 107213641319. The next prime is 107213641357. The reversal of 107213641350 is 53146312701.

107213641350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072136413502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107213641357) 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, 840649 + ... + 959748.

It is an arithmetic number, because the mean of its divisors is an integer number (5553327631).

Almost surely, 2107213641350 is an apocalyptic number.

107213641350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107213641350 is an abundant number, since it is smaller than the sum of its proper divisors (159346084938).

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

107213641350 is a wasteful number, since it uses less digits than its factorization.

107213641350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800809 (or 1800804 counting only the distinct ones).

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

The spelling of 107213641350 in words is "one hundred seven billion, two hundred thirteen million, six hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 397 794 1191 1985 2382 3970 5955 9925 11910 19850 29775 59550 1800397 3600794 5401191 9001985 10802382 18003970 27005955 45009925 54011910 90019850 135029775 270059550 714757609 1429515218 2144272827 3573788045 4288545654 7147576090 10721364135 17868940225 21442728270 35737880450 53606820675 107213641350