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131241212334 = 23329269931051
BaseRepresentation
bin111101000111010010…
…1011111100110101110
3110112202102111100212000
41322032211133212232
54122240222243314
6140142534353130
712324164620131
oct1721645374656
9415672440760
10131241212334
1150728274351
12215284bb7a6
13c4b70985bb
1464d0286218
153631ce0209
hex1e8e95f9ae

131241212334 has 64 divisors (see below), whose sum is σ = 301825440000. Its totient is φ = 42221541600.

The previous prime is 131241212299. The next prime is 131241212357. The reversal of 131241212334 is 433212142131.

131241212334 is a `hidden beast` number, since 1 + 3 + 12 + 412 + 1 + 233 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131241212298 and 131241212307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4211109 + ... + 4242159.

It is an arithmetic number, because the mean of its divisors is an integer number (4716022500).

Almost surely, 2131241212334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131241212334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150912720000).

131241212334 is an abundant number, since it is smaller than the sum of its proper divisors (170584227666).

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

131241212334 is a wasteful number, since it uses less digits than its factorization.

131241212334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33790 (or 33784 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 131241212334 its reverse (433212142131), we get a palindrome (564453354465).

The spelling of 131241212334 in words is "one hundred thirty-one billion, two hundred forty-one million, two hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2699 5398 8097 16194 24291 31051 48582 62102 72873 78271 93153 145746 156542 186306 234813 279459 469626 558918 704439 838377 900479 1408878 1676754 1800958 2113317 2701437 4226634 5402874 8104311 16208622 24312933 48625866 83806649 167613298 251419947 502839894 754259841 1508519682 2262779523 2430392821 4525559046 4860785642 7291178463 14582356926 21873535389 43747070778 65620606167 131241212334