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131000030310402 = 2321117149673388111
BaseRepresentation
bin11101110010010011010010…
…010001011011000000000010
3122011211110222100110122022100
4131302103102101123000002
5114132301030224413102
61142340325542051230
736410303605121151
oct3562232221330002
9564743870418270
10131000030310402
1138816889a45840
1212838825119b16
135813332c04076
14244c614655598
1510229287eaa1c
hex7724d245b002

131000030310402 has 192 divisors, whose sum is σ = 330541949836800. Its totient is φ = 37055873433600.

The previous prime is 131000030310367. The next prime is 131000030310407. The reversal of 131000030310402 is 204013030000131.

131000030310402 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 3 + 0 + 310 + 40 + 2 = 666.

It is a super-2 number, since 2×1310000303104022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131000030310407) 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 95 ways as a sum of consecutive naturals, for example, 337338327 + ... + 337726437.

It is an arithmetic number, because the mean of its divisors is an integer number (1721572655400).

Almost surely, 2131000030310402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000030310402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165270974918400).

131000030310402 is an abundant number, since it is smaller than the sum of its proper divisors (199541919526398).

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

131000030310402 is a wasteful number, since it uses less digits than its factorization.

131000030310402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388969 (or 388966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131000030310402 its reverse (204013030000131), we get a palindrome (335013060310533).

The spelling of 131000030310402 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, four hundred two".