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131020203133104 = 24331257342611719
BaseRepresentation
bin11101110010100110000100…
…101010101000100010110000
3122011220102001020012012201220
4131302212010222220202300
5114133113334000224404
61142353503403425040
736411616526231265
oct3562460452504260
9564812036165656
10131020203133104
11388243a0a8503a
1212840714b25180
1358151c933ba4c
14244d5a988726c
1510232098034d9
hex772984aa88b0

131020203133104 has 80 divisors (see below), whose sum is σ = 350746692679680. Its totient is φ = 42100127907840.

The previous prime is 131020203133037. The next prime is 131020203133121. The reversal of 131020203133104 is 401331302020131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 170923444 + ... + 171688275.

It is an arithmetic number, because the mean of its divisors is an integer number (4384333658496).

Almost surely, 2131020203133104 is an apocalyptic number.

It is an amenable number.

131020203133104 is an abundant number, since it is smaller than the sum of its proper divisors (219726489546576).

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

131020203133104 is a wasteful number, since it uses less digits than its factorization.

131020203133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342612018 (or 342612012 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131020203133104 its reverse (401331302020131), we get a palindrome (532351505153235).

The spelling of 131020203133104 in words is "one hundred thirty-one trillion, twenty billion, two hundred three million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 257 372 496 514 744 771 1028 1488 1542 2056 3084 4112 6168 7967 12336 15934 23901 31868 47802 63736 95604 127472 191208 382416 342611719 685223438 1027835157 1370446876 2055670314 2740893752 4111340628 5481787504 8222681256 10620963289 16445362512 21241926578 31862889867 42483853156 63725779734 84967706312 88051211783 127451559468 169935412624 176102423566 254903118936 264153635349 352204847132 509806237872 528307270698 704409694264 1056614541396 1408819388528 2113229082792 2729587565273 4226458165584 5459175130546 8188762695819 10918350261092 16377525391638 21836700522184 32755050783276 43673401044368 65510101566552 131020203133104