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13114110001412 = 22721932663130183
BaseRepresentation
bin1011111011010101110111…
…0111100100000100000100
31201102200210212121012200002
42332311131313210010010
53204330144130021122
643520312225540432
72522314604534300
oct276653567440404
951380725535602
1013114110001412
1141a6732236792
121579728aa4718
1374186980c904
14334a24dd4d00
1517b1dc4d2992
hexbed5dde4104

13114110001412 has 72 divisors (see below), whose sum is σ = 26845188483456. Its totient is φ = 5589069437952.

The previous prime is 13114110001411. The next prime is 13114110001423. The reversal of 13114110001412 is 21410001141131.

It is a super-2 number, since 2×131141100014122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13114110001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100670873 + ... + 100801055.

It is an arithmetic number, because the mean of its divisors is an integer number (372849840048).

Almost surely, 213114110001412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114110001412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422594241728).

13114110001412 is an abundant number, since it is smaller than the sum of its proper divisors (13731078482044).

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

13114110001412 is a wasteful number, since it uses less digits than its factorization.

13114110001412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133057 (or 133048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 13114110001412 its reverse (21410001141131), we get a palindrome (34524111142543).

The spelling of 13114110001412 in words is "thirteen trillion, one hundred fourteen billion, one hundred ten million, one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 193 196 386 772 1351 2663 2702 5326 5404 9457 10652 18641 18914 37282 37828 74564 130183 130487 260366 260974 513959 520732 521948 911281 1027918 1822562 2055836 3597713 3645124 6378967 7195426 12757934 14390852 25125319 25183991 25515868 50250638 50367982 100501276 100735964 175877233 346677329 351754466 693354658 703508932 1231140631 1386709316 2426741303 2462281262 4853482606 4924562524 9706965212 16987189121 33974378242 66908724497 67948756484 133817448994 267634897988 468361071479 936722142958 1873444285916 3278527500353 6557055000706 13114110001412