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13120013581070 = 25112335201147319
BaseRepresentation
bin1011111011101011110110…
…1111111011101100001110
31201110021001022020010111112
42332322331233323230032
53204424241434043240
643523130120052022
72522614111246634
oct276727557735416
951407038203445
1013120013581070
1141a91916a0540
12157a8b6004012
1374229a919306
143350250a5354
1517b435921665
hexbeebdbfbb0e

13120013581070 has 64 divisors (see below), whose sum is σ = 26884009589760. Its totient is φ = 4563322368000.

The previous prime is 13120013581061. The next prime is 13120013581079. The reversal of 13120013581070 is 7018531002131.

It is an interprime number because it is at equal distance from previous prime (13120013581061) and next prime (13120013581079).

It is a super-2 number, since 2×131200135810702 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120013581079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88984871 + ... + 89132189.

It is an arithmetic number, because the mean of its divisors is an integer number (420062649840).

Almost surely, 213120013581070 is an apocalyptic number.

13120013581070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13120013581070 is an abundant number, since it is smaller than the sum of its proper divisors (13763996008690).

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

13120013581070 is a wasteful number, since it uses less digits than its factorization.

13120013581070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182561.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 13120013581070 in words is "thirteen trillion, one hundred twenty billion, thirteen million, five hundred eighty-one thousand, seventy".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 1265 2530 35201 70402 147319 176005 294638 352010 387211 736595 774422 809623 1473190 1619246 1620509 1936055 3241018 3388337 3872110 4048115 6776674 8096230 8102545 8905853 16205090 16941685 17811706 33883370 37271707 44529265 74543414 89058530 186358535 372717070 5185776119 10371552238 25928880595 51857761190 57043537309 114087074618 119272850737 238545701474 285217686545 570435373090 596364253685 1192728507370 1312001358107 2624002716214 6560006790535 13120013581070