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131234200144 = 24171034684259
BaseRepresentation
bin111101000111000101…
…0101111101001010000
3110112201221022002221021
41322032022233221100
54122231423401034
6140142124205224
712324051203335
oct1721612575120
9415657262837
10131234200144
1150724314a53
1221526099814
13c4b57b1988
1464cd37c98c
1536313a76b4
hex1e8e2afa50

131234200144 has 40 divisors (see below), whose sum is σ = 271836976320. Its totient is φ = 61157672448.

The previous prime is 131234200129. The next prime is 131234200159. The reversal of 131234200144 is 441002432131.

It is an interprime number because it is at equal distance from previous prime (131234200129) and next prime (131234200159).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2314114 + ... + 2370145.

It is an arithmetic number, because the mean of its divisors is an integer number (6795924408).

Almost surely, 2131234200144 is an apocalyptic number.

It is an amenable number.

131234200144 is an abundant number, since it is smaller than the sum of its proper divisors (140602776176).

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

131234200144 is a wasteful number, since it uses less digits than its factorization.

131234200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684387 (or 4684381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 131234200144 its reverse (441002432131), we get a palindrome (572236632275).

The spelling of 131234200144 in words is "one hundred thirty-one billion, two hundred thirty-four million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 103 136 206 272 412 824 1648 1751 3502 7004 14008 28016 4684259 9368518 18737036 37474072 74948144 79632403 159264806 318529612 482478677 637059224 964957354 1274118448 1929914708 3859829416 7719658832 8202137509 16404275018 32808550036 65617100072 131234200144