Search a number
-
+
131000104020401 = 71115164679174197
BaseRepresentation
bin11101110010010011010110…
…101010100110100110110001
3122011211111011111011111102022
4131302103112222212212301
5114132301203112123101
61142340341134001225
736410305461466130
oct3562232652464661
9564744144144368
10131000104020401
11388169176101a0
1212838845946215
135813345271455
14244c620361917
15102293000aa1b
hex7724d6aa69b1

131000104020401 has 32 divisors (see below), whose sum is σ = 164409911930880. Its totient is φ = 101399839992000.

The previous prime is 131000104020343. The next prime is 131000104020439. The reversal of 131000104020401 is 104020401000131.

It is a happy number.

It is not a de Polignac number, because 131000104020401 - 210 = 131000104019377 is a prime.

It is a super-2 number, since 2×1310001040204012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000104020401.

It is not an unprimeable number, because it can be changed into a prime (131000104020491) 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, 751935635 + ... + 752109831.

It is an arithmetic number, because the mean of its divisors is an integer number (5137809747840).

Almost surely, 2131000104020401 is an apocalyptic number.

131000104020401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131000104020401 is a deficient number, since it is larger than the sum of its proper divisors (33409807910479).

131000104020401 is a wasteful number, since it uses less digits than its factorization.

131000104020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239045.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 131000104020401 its reverse (104020401000131), we get a palindrome (235020505020532).

It can be divided in two parts, 131000 and 104020401, that added together give a palindrome (104151401).

The spelling of 131000104020401 in words is "one hundred thirty-one trillion, one hundred four million, twenty thousand, four hundred one".

Divisors: 1 7 11 77 151 1057 1661 11627 64679 174197 452753 711469 1219379 1916167 4980283 9766529 13413169 26303747 68365703 107431819 184126229 289341217 752022733 2025388519 11266887763 78868214341 123935765393 867550357751 1701300052213 11909100365491 18714300574343 131000104020401