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131333032320 = 2735723424861
BaseRepresentation
bin111101001010000001…
…1110000100110000000
3110112222211021022012020
41322110003300212000
54122432224013240
6140200014401440
712326361232650
oct1722403604600
9415884238166
10131333032320
1150775089036
1221553200280
13c500106a59
1464dc548360
153639dcb0d0
hex1e940f0980

131333032320 has 256 divisors, whose sum is σ = 499229844480. Its totient is φ = 28713738240.

The previous prime is 131333032247. The next prime is 131333032351. The reversal of 131333032320 is 23230333131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96690 + ... + 521550.

It is an arithmetic number, because the mean of its divisors is an integer number (1950116580).

Almost surely, 2131333032320 is an apocalyptic number.

131333032320 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 131333032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249614922240).

131333032320 is an abundant number, since it is smaller than the sum of its proper divisors (367896812160).

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

131333032320 is a wasteful number, since it uses less digits than its factorization.

131333032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424913 (or 424901 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131333032320 its reverse (23230333131), we get a palindrome (154563365451).

The spelling of 131333032320 in words is "one hundred thirty-one billion, three hundred thirty-three million, thirty-two thousand, three hundred twenty".