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131000030310401 = 7431200699216347
BaseRepresentation
bin11101110010010011010010…
…010001011011000000000001
3122011211110222100110122022022
4131302103102101123000001
5114132301030224413101
61142340325542051225
736410303605121150
oct3562232221330001
9564743870418268
10131000030310401
1138816889a4583a
1212838825119b15
135813332c04075
14244c614655597
1510229287eaa1b
hex7724d245b001

131000030310401 has 16 divisors (see below), whose sum is σ = 150063126681600. Its totient is φ = 112024140530640.

The previous prime is 131000030310367. The next prime is 131000030310407. The reversal of 131000030310401 is 104013030000131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131000030310401 is a prime.

It is a super-2 number, since 2×1310000303104012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131000030310401.

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 15 ways as a sum of consecutive naturals, for example, 605400710 + ... + 605617056.

It is an arithmetic number, because the mean of its divisors is an integer number (9378945417600).

Almost surely, 2131000030310401 is an apocalyptic number.

It is an amenable number.

131000030310401 is a deficient number, since it is larger than the sum of its proper divisors (19063096371199).

131000030310401 is a wasteful number, since it uses less digits than its factorization.

131000030310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417484.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131000030310401 its reverse (104013030000131), we get a palindrome (235013060310532).

The spelling of 131000030310401 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, four hundred one".

Divisors: 1 7 431 3017 200699 216347 1404893 1514429 86501269 93245557 605508883 652718899 43420626553 303944385871 18714290044343 131000030310401