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131322201010 = 257111319236341
BaseRepresentation
bin111101001001101101…
…0011100001110110010
3110112222001220000102121
41322103122130032302
54122421440413020
6140154550304454
712326200201540
oct1722332341662
9415861800377
10131322201010
1150769a60340
122154b65812a
13c4caab39b0
1464dad28d90
153638e8bbaa
hex1e9369c3b2

131322201010 has 192 divisors, whose sum is σ = 334969737984. Its totient is φ = 35793446400.

The previous prime is 131322200993. The next prime is 131322201013. The reversal of 131322201010 is 10102223131.

131322201010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313222010102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131322201013) 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, 3595440 + ... + 3631780.

It is an arithmetic number, because the mean of its divisors is an integer number (1744634052).

Almost surely, 2131322201010 is an apocalyptic number.

131322201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131322201010 is an abundant number, since it is smaller than the sum of its proper divisors (203647536974).

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

131322201010 is a wasteful number, since it uses less digits than its factorization.

131322201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36417 (or 36398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131322201010 its reverse (10102223131), we get a palindrome (141424424141).

The spelling of 131322201010 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred one thousand, ten".