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131022012322140 = 223517226913566089
BaseRepresentation
bin11101110010100111110000…
…100000001001000101011100
3122011220120201022111112112020
4131302213300200021011130
5114133131040123302030
61142354403112540140
736412012415130012
oct3562476040110534
9564816638445466
10131022012322140
113882513a245595
1212840b3a9b1650
1358154270c84c4
14244d6dbc728b2
1510232b3574510
hex7729f080915c

131022012322140 has 96 divisors (see below), whose sum is σ = 388444128690240. Its totient is φ = 32883753025536.

The previous prime is 131022012322139. The next prime is 131022012322147. The reversal of 131022012322140 is 41223210220131.

It is a self number, because there is not a number n which added to its sum of digits gives 131022012322140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022012322147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231168216 + ... + 231734304.

It is an arithmetic number, because the mean of its divisors is an integer number (4046293007190).

Almost surely, 2131022012322140 is an apocalyptic number.

131022012322140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022012322140 is an abundant number, since it is smaller than the sum of its proper divisors (257422116368100).

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

131022012322140 is a wasteful number, since it uses less digits than its factorization.

131022012322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793031 (or 793029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131022012322140 its reverse (41223210220131), we get a palindrome (172245222542271).

The spelling of 131022012322140 in words is "one hundred thirty-one trillion, twenty-two billion, twelve million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 226913 453826 566089 680739 907652 1132178 1134565 1361478 1698267 2264356 2269130 2722956 2830445 3396534 3403695 3857521 4538260 5660890 6793068 6807390 7715042 8491335 9623513 11321780 11572563 13614780 15430084 16982670 19247026 19287605 23145126 28870539 33965340 38494052 38575210 46290252 48117565 57741078 57862815 77150420 96235130 115482156 115725630 144352695 192470260 231451260 288705390 577410780 128452953257 256905906514 385358859771 513811813028 642264766285 770717719542 1284529532570 1541435439084 1926794298855 2183700205369 2569059065140 3853588597710 4367400410738 6551100616107 7707177195420 8734800821476 10918501026845 13102201232214 21837002053690 26204402464428 32755503080535 43674004107380 65511006161070 131022012322140