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131015231400 = 2335229371091867
BaseRepresentation
bin111101000000100011…
…1011100011110101000
3110112011200021100021210
41322001013130132220
54121304344401100
6140104303033120
712315452043444
oct1720107343650
9415150240253
10131015231400
1150621756549
122148489b7a0
13c47c315781
1464ac25d824
15361c052c50
hex1e811dc7a8

131015231400 has 384 divisors, whose sum is σ = 435699792000. Its totient is φ = 32502435840.

The previous prime is 131015231377. The next prime is 131015231401. The reversal of 131015231400 is 4132510131.

It is not an unprimeable number, because it can be changed into a prime (131015231401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70173267 + ... + 70175133.

It is an arithmetic number, because the mean of its divisors is an integer number (1134634875).

Almost surely, 2131015231400 is an apocalyptic number.

131015231400 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 131015231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217849896000).

131015231400 is an abundant number, since it is smaller than the sum of its proper divisors (304684560600).

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

131015231400 is a wasteful number, since it uses less digits than its factorization.

131015231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 131015231400 its reverse (4132510131), we get a palindrome (135147741531).

The spelling of 131015231400 in words is "one hundred thirty-one billion, fifteen million, two hundred thirty-one thousand, four hundred".