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131331020010 = 23541271393997
BaseRepresentation
bin111101001001111110…
…0000101010011101010
3110112222200111001211020
41322103330011103222
54122431220120020
6140155503313310
712326335152111
oct1722374052352
9415880431736
10131331020010
1150773a34173
12215525ab836
13c4cc880b38
1464dc182c78
153639b2ec40
hex1e93f054ea

131331020010 has 64 divisors (see below), whose sum is σ = 324074386944. Its totient is φ = 34041254400.

The previous prime is 131331019979. The next prime is 131331020011. The reversal of 131331020010 is 10020133131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131331020011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136332 + ... + 530328.

It is an arithmetic number, because the mean of its divisors is an integer number (5063662296).

Almost surely, 2131331020010 is an apocalyptic number.

131331020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162037193472).

131331020010 is an abundant number, since it is smaller than the sum of its proper divisors (192743366934).

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

131331020010 is a wasteful number, since it uses less digits than its factorization.

131331020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394319.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131331020010 its reverse (10020133131), we get a palindrome (141351153141).

The spelling of 131331020010 in words is "one hundred thirty-one billion, three hundred thirty-one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 333330 393997 787994 1181991 1969985 2363982 3939970 5909955 11819910 16153877 32307754 48461631 80769385 96923262 106773187 161538770 213546374 242308155 320319561 484616310 533865935 640639122 1067731870 1601597805 3203195610 4377700667 8755401334 13133102001 21888503335 26266204002 43777006670 65665510005 131331020010