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131150603232 = 253211193795749
BaseRepresentation
bin111101000100100101…
…1110110001111100000
3110112112002222221112100
41322021023312033200
54122044023300412
6140125540330400
712322014506505
oct1721113661740
9415462887470
10131150603232
11506911073a0
12215020a3a00
13c4a139234c
1464c221b4ac
153628d92edc
hex1e892f63e0

131150603232 has 288 divisors, whose sum is σ = 429483600000. Its totient is φ = 37545016320.

The previous prime is 131150603219. The next prime is 131150603237. The reversal of 131150603232 is 232306051131.

131150603232 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 50 + 603 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 131150603196 and 131150603205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131150603237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22809894 + ... + 22815642.

It is an arithmetic number, because the mean of its divisors is an integer number (1491262500).

Almost surely, 2131150603232 is an apocalyptic number.

131150603232 is a gapful number since it is divisible by the number (12) 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 131150603232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214741800000).

131150603232 is an abundant number, since it is smaller than the sum of its proper divisors (298332996768).

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

131150603232 is a wasteful number, since it uses less digits than its factorization.

131150603232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 131150603232 its reverse (232306051131), we get a palindrome (363456654363).

The spelling of 131150603232 in words is "one hundred thirty-one billion, one hundred fifty million, six hundred three thousand, two hundred thirty-two".