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131011214141024 = 2572611369722463
BaseRepresentation
bin11101110010011101101100…
…111000010110011001100000
3122011212112211202211002202022
4131302131230320112121200
5114132441431310003044
61142345415414241012
736411151006115300
oct3562355470263140
9564775752732668
10131011214141024
11388205a8a22268
121283aa26656168
1358143c5c44019
14244cd95ad9600
151022d8059d3ee
hex77276ce16660

131011214141024 has 72 divisors (see below), whose sum is σ = 304957748829888. Its totient is φ = 55227209667840.

The previous prime is 131011214140999. The next prime is 131011214141029. The reversal of 131011214141024 is 420141412110131.

It is a junction number, because it is equal to n+sod(n) for n = 131011214140984 and 131011214141002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011214141029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684765584 + ... + 684956879.

It is an arithmetic number, because the mean of its divisors is an integer number (4235524289304).

Almost surely, 2131011214141024 is an apocalyptic number.

131011214141024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131011214141024 is an abundant number, since it is smaller than the sum of its proper divisors (173946534688864).

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

131011214141024 is a wasteful number, since it uses less digits than its factorization.

131011214141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369722548 (or 1369722533 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 131011214141024 its reverse (420141412110131), we get a palindrome (551152626251155).

The spelling of 131011214141024 in words is "one hundred thirty-one trillion, eleven billion, two hundred fourteen million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 392 427 488 784 854 976 1568 1708 1952 2989 3416 5978 6832 11956 13664 23912 47824 95648 1369722463 2739444926 5478889852 9588057241 10957779704 19176114482 21915559408 38352228964 43831118816 67116400687 76704457928 83553070243 134232801374 153408915856 167106140486 268465602748 306817831712 334212280972 536931205496 584871491701 668424561944 1073862410992 1169742983402 1336849123888 2147724821984 2339485966804 2673698247776 4094100441907 4678971933608 8188200883814 9357943867216 16376401767628 18715887734432 32752803535256 65505607070512 131011214141024