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7100135640 = 23325134137003
BaseRepresentation
bin1101001110011001…
…10111100011011000
3200022211011021001200
412213030313203120
5104020113320030
63132312314200
7340643104623
oct64714674330
920284137050
107100135640
113013928aa4
1214619a2960
13891c963c0
144b4d84dba
152b84e8d60
hex1a73378d8

7100135640 has 192 divisors, whose sum is σ = 25457271840. Its totient is φ = 1705052160.

The previous prime is 7100135617. The next prime is 7100135657. The reversal of 7100135640 is 465310017.

7100135640 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 13 + 5 + 640 = 666.

It is a super-2 number, since 2×71001356402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173379 + ... + 210381.

Almost surely, 27100135640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7100135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728635920).

7100135640 is an abundant number, since it is smaller than the sum of its proper divisors (18357136200).

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

7100135640 is a wasteful number, since it uses less digits than its factorization.

7100135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37074 (or 37067 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7100135640 is about 84262.3026032401. The cubic root of 7100135640 is about 1922.0095821202.

Adding to 7100135640 its reverse (465310017), we get a palindrome (7565445657).

The spelling of 7100135640 in words is "seven billion, one hundred million, one hundred thirty-five thousand, six hundred forty".