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131042162616 = 233311459120721
BaseRepresentation
bin111101000001010111…
…0001011011110111000
3110112020112221120222020
41322002232023132320
54121333243200431
6140111104154440
712316230001221
oct1720256133670
9415215846866
10131042162616
1150635980352
1221491908a20
13c484a849c1
1464b1a70248
15361e5c2696
hex1e82b8b7b8

131042162616 has 64 divisors (see below), whose sum is σ = 338407910400. Its totient is φ = 42242342400.

The previous prime is 131042162609. The next prime is 131042162633. The reversal of 131042162616 is 616261240131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025136 + ... + 1145856.

It is an arithmetic number, because the mean of its divisors is an integer number (5287623600).

Almost surely, 2131042162616 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 131042162616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203955200).

131042162616 is an abundant number, since it is smaller than the sum of its proper divisors (207365747784).

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

131042162616 is a wasteful number, since it uses less digits than its factorization.

131042162616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122220 (or 122216 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 131042162616 in words is "one hundred thirty-one billion, forty-two million, one hundred sixty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1459 2918 4377 5836 8754 11672 17508 35016 45229 90458 120721 135687 180916 241442 271374 361832 362163 482884 542748 724326 965768 1085496 1448652 2897304 3742351 7484702 11227053 14969404 22454106 29938808 44908212 89816424 176131939 352263878 528395817 704527756 1056791634 1409055512 2113583268 4227166536 5460090109 10920180218 16380270327 21840360436 32760540654 43680720872 65521081308 131042162616