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131023311232 = 2711127853859
BaseRepresentation
bin111101000000110011…
…0010001000110000000
3110112012020110211201211
41322001212101012000
54121313431424412
6140105152135504
712315610525012
oct1720146210600
9415166424654
10131023311232
1150626274aa0
1221487537594
13c480bb4338
1464ad3641b2
15361caebca7
hex1e81991180

131023311232 has 128 divisors (see below), whose sum is σ = 287665459200. Its totient is φ = 58949130240.

The previous prime is 131023311229. The next prime is 131023311253. The reversal of 131023311232 is 232113320131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152529619 + ... + 152530477.

It is an arithmetic number, because the mean of its divisors is an integer number (2247386400).

Almost surely, 2131023311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131023311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143832729600).

131023311232 is an abundant number, since it is smaller than the sum of its proper divisors (156642147968).

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

131023311232 is a wasteful number, since it uses less digits than its factorization.

131023311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131023311232 its reverse (232113320131), we get a palindrome (363136631363).

The spelling of 131023311232 in words is "one hundred thirty-one billion, twenty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 853 859 1016 1397 1408 1706 1718 2032 2794 3412 3436 4064 5588 6824 6872 8128 9383 9449 11176 13648 13744 16256 18766 18898 22352 27296 27488 37532 37796 44704 54592 54976 75064 75592 89408 108331 109093 109184 109952 150128 151184 178816 216662 218186 300256 302368 433324 436372 600512 604736 732727 866648 872744 1191641 1200023 1201024 1209472 1465454 1733296 1745488 2383282 2400046 2930908 3466592 3490976 4766564 4800092 5861816 6933184 6981952 8059997 9533128 9600184 11723632 13866368 13963904 16119994 19066256 19200368 23447264 32239988 38132512 38400736 46894528 64479976 76265024 76801472 93056329 93789056 128959952 152530048 153602944 186112658 257919904 372225316 515839808 744450632 1023619619 1031679616 1488901264 2047239238 2977802528 4094478476 5955605056 8188956952 11911210112 16377913904 32755827808 65511655616 131023311232