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131142336224 = 25171132133367
BaseRepresentation
bin111101000100010110…
…0010011111011100000
3110112111112102221022212
41322020230103323200
54122034414224344
6140125043221252
712321554315444
oct1721054237340
9415445387285
10131142336224
1150687480259
12214bb377828
13c49c759523
1464c10a8824
1536282ad79e
hex1e88b13ee0

131142336224 has 48 divisors (see below), whose sum is σ = 275793281568. Its totient is φ = 61167869952.

The previous prime is 131142336211. The next prime is 131142336253. The reversal of 131142336224 is 422633241131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005212 + ... + 1128155.

It is an arithmetic number, because the mean of its divisors is an integer number (5745693366).

Almost surely, 2131142336224 is an apocalyptic number.

It is an amenable number.

131142336224 is an abundant number, since it is smaller than the sum of its proper divisors (144650945344).

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

131142336224 is a wasteful number, since it uses less digits than its factorization.

131142336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133507 (or 2133499 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 131142336224 its reverse (422633241131), we get a palindrome (553775577355).

The spelling of 131142336224 in words is "one hundred thirty-one billion, one hundred forty-two million, three hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3616 3842 7684 15368 30736 61472 2133367 4266734 8533468 17066936 34133872 36267239 68267744 72534478 145068956 241070471 290137912 482140942 580275824 964281884 1160551648 1928563768 3857127536 4098198007 7714255072 8196396014 16392792028 32785584056 65571168112 131142336224