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131324141151 = 32714931396189
BaseRepresentation
bin111101001001110000…
…1110101111001011111
3110112222012112120210200
41322103201311321133
54122422440004101
6140155100034543
712326222532120
oct1722341657137
9415865476720
10131324141151
1150770065a65
1221550232a53
13c4cb312ac8
1464db2b2047
153639221986
hex1e93875e5f

131324141151 has 24 divisors (see below), whose sum is σ = 216934417440. Its totient is φ = 74992049856.

The previous prime is 131324141131. The next prime is 131324141191. The reversal of 131324141151 is 151141423131.

131324141151 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 241 + 411 + 5 + 1 = 666.

It is not a de Polignac number, because 131324141151 - 26 = 131324141087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324141131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604036 + ... + 792153.

It is an arithmetic number, because the mean of its divisors is an integer number (9038934060).

Almost surely, 2131324141151 is an apocalyptic number.

131324141151 is a deficient number, since it is larger than the sum of its proper divisors (85610276289).

131324141151 is a wasteful number, since it uses less digits than its factorization.

131324141151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397695 (or 1397692 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 131324141151 its reverse (151141423131), we get a palindrome (282465564282).

The spelling of 131324141151 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred forty-one thousand, one hundred fifty-one".

Divisors: 1 3 7 9 21 63 1493 4479 10451 13437 31353 94059 1396189 4188567 9773323 12565701 29319969 87959907 2084510177 6253530531 14591571239 18760591593 43774713717 131324141151