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131212222000320 = 2635136679397917
BaseRepresentation
bin11101110101011000111001…
…111000011110110011000000
3122012120202200100120100021210
4131311120321320132303000
5114144240112313002240
61143022021310250120
736431525115535506
oct3565307170366300
9565522610510253
10131212222000320
113889887769502a
12128719837b6940
13582a34acc2736
1424589c39b2676
1510281e7257780
hex775639e1ecc0

131212222000320 has 56 divisors (see below), whose sum is σ = 416598804854064. Its totient is φ = 34989925866496.

The previous prime is 131212222000243. The next prime is 131212222000333. The reversal of 131212222000320 is 23000222212131.

It is a super-2 number, since 2×1312122220003202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68339697999 + ... + 68339699918.

It is an arithmetic number, because the mean of its divisors is an integer number (7439264372394).

Almost surely, 2131212222000320 is an apocalyptic number.

131212222000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212222000320 is an abundant number, since it is smaller than the sum of its proper divisors (285386582853744).

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

131212222000320 is a wasteful number, since it uses less digits than its factorization.

131212222000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136679397937 (or 136679397927 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131212222000320 its reverse (23000222212131), we get a palindrome (154212444212451).

The spelling of 131212222000320 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred twenty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 136679397917 273358795834 410038193751 546717591668 683396989585 820076387502 1093435183336 1366793979170 1640152775004 2050190968755 2186870366672 2733587958340 3280305550008 4100381937510 4373740733344 5467175916680 6560611100016 8200763875020 8747481466688 10934351833360 13121222200032 16401527750040 21868703666720 26242444400064 32803055500080 43737407333440 65606111000160 131212222000320