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13121013020022 = 2377142250343
BaseRepresentation
bin1011111011101111100101…
…0100011111010101110110
31201110100121221211220000000
42332323321110133111312
53204433313313120042
643523413221332130
72522650635323055
oct276737124372566
951410557756000
1013121013020022
1141a9654870846
12157ab34867046
137423c99baccb
143350bbb0839c
1517b49354174c
hexbeef951f576

13121013020022 has 64 divisors (see below), whose sum is σ = 29933523717120. Its totient is φ = 4312069904520.

The previous prime is 13121013019999. The next prime is 13121013020047. The reversal of 13121013020022 is 22002031012131.

13121013020022 is a `hidden beast` number, since 1 + 312 + 1 + 0 + 130 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13121013019977 and 13121013020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20814618 + ... + 21435725.

It is an arithmetic number, because the mean of its divisors is an integer number (467711308080).

Almost surely, 213121013020022 is an apocalyptic number.

13121013020022 is an abundant number, since it is smaller than the sum of its proper divisors (16812510697098).

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

13121013020022 is an frugal number, since it uses more digits than its factorization.

13121013020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42250437 (or 42250419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121013020022 its reverse (22002031012131), we get a palindrome (35123044032153).

The spelling of 13121013020022 in words is "thirteen trillion, one hundred twenty-one billion, thirteen million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 729 1278 1458 1917 2187 3834 4374 5751 11502 17253 34506 51759 103518 155277 310554 42250343 84500686 126751029 253502058 380253087 760506174 1140759261 2281518522 2999774353 3422277783 5999548706 6844555566 8999323059 10266833349 17998646118 20533666698 26997969177 30800500047 53995938354 61601000094 80993907531 92401500141 161987815062 184803000282 242981722593 485963445186 728945167779 1457890335558 2186835503337 4373671006674 6560506510011 13121013020022