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131141324323104 = 2534015471622669
BaseRepresentation
bin11101110100010110111000…
…000011010011100100100000
3122012022222200101002011202220
4131310112320003103210200
5114142104413011314404
61142525254231111040
736423435161323224
oct3564267003234440
9565288611064686
10131141324323104
11388707a5807867
1212860098212480
13582375c8b5a44
1424553b9a86784
151026447e284d9
hex7745b80d3920

131141324323104 has 96 divisors (see below), whose sum is σ = 345168078312960. Its totient is φ = 43596722688000.

The previous prime is 131141324323063. The next prime is 131141324323147. The reversal of 131141324323104 is 401323423141131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 210300282 + ... + 210922950.

It is an arithmetic number, because the mean of its divisors is an integer number (3595500815760).

Almost surely, 2131141324323104 is an apocalyptic number.

It is an amenable number.

131141324323104 is an abundant number, since it is smaller than the sum of its proper divisors (214026753989856).

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

131141324323104 is a wasteful number, since it uses less digits than its factorization.

131141324323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628554 (or 628546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131141324323104 its reverse (401323423141131), we get a palindrome (532464747464235).

The spelling of 131141324323104 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1203 1604 2406 3208 4812 5471 6416 9624 10942 12832 16413 19248 21884 32826 38496 43768 65652 87536 131304 175072 262608 525216 622669 1245338 1868007 2193871 2490676 3736014 4387742 4981352 6581613 7472028 8775484 9962704 13163226 14944056 17550968 19925408 26326452 29888112 35101936 52652904 59776224 70203872 105305808 210611616 249690269 499380538 749070807 998761076 1498141614 1997522152 2996283228 3406622099 3995044304 5992566456 6813244198 7990088608 10219866297 11985132912 13626488396 20439732594 23970265824 27252976792 40879465188 54505953584 81758930376 109011907168 163517860752 327035721504 1366055461699 2732110923398 4098166385097 5464221846796 8196332770194 10928443693592 16392665540388 21856887387184 32785331080776 43713774774368 65570662161552 131141324323104