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140131652100 = 2235211101593709
BaseRepresentation
bin1000001010000001111…
…1110101001000000100
3111101201000102111110220
42002200133311020010
54243442200331400
6144213043344340
713060410250446
oct2024037651004
9441630374426
10140131652100
115447a734330
12231a99820b0
13102a2c3874b
146ad4cdc496
1539a25797a0
hex20a07f5204

140131652100 has 288 divisors, whose sum is σ = 448070071680. Its totient is φ = 33530880000.

The previous prime is 140131652077. The next prime is 140131652123. The reversal of 140131652100 is 1256131041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140131652077) and next prime (140131652123).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197646546 + ... + 197647254.

It is an arithmetic number, because the mean of its divisors is an integer number (1555798860).

Almost surely, 2140131652100 is an apocalyptic number.

140131652100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140131652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224035035840).

140131652100 is an abundant number, since it is smaller than the sum of its proper divisors (307938419580).

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

140131652100 is a wasteful number, since it uses less digits than its factorization.

140131652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 140131652100 its reverse (1256131041), we get a palindrome (141387783141).

The spelling of 140131652100 in words is "one hundred forty billion, one hundred thirty-one million, six hundred fifty-two thousand, one hundred".