Search a number
-
+
131344353322101 = 32151277348909007
BaseRepresentation
bin11101110111010011111101…
…100001011110010001110101
3122020001101201210221221202100
4131313103331201132101311
5114203421213422301401
61143202432443132313
736444213342332133
oct3567237541362165
9566041653857670
10131344353322101
1138939911345817
12128934ba214099
1358399476008ca
14246115a15c753
15102b87c26db86
hex7774fd85e475

131344353322101 has 24 divisors (see below), whose sum is σ = 191665487546624. Its totient is φ = 86668997090400.

The previous prime is 131344353322079. The next prime is 131344353322141. The reversal of 131344353322101 is 101223353443131.

131344353322101 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 435 + 3 + 3 + 2 + 210 + 1 = 666.

It is not a de Polignac number, because 131344353322101 - 26 = 131344353322037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344353322141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174078061 + ... + 174830946.

Almost surely, 2131344353322101 is an apocalyptic number.

It is an amenable number.

131344353322101 is a deficient number, since it is larger than the sum of its proper divisors (60321134224523).

131344353322101 is a wasteful number, since it uses less digits than its factorization.

131344353322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348909441 (or 348909438 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 131344353322101 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-three million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 151 277 453 831 1359 2493 41827 125481 376443 348909007 1046727021 3140181063 52685260057 96647794939 158055780171 289943384817 474167340513 869830154451 14593817035789 43781451107367 131344353322101