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13105401221214 = 2325471331038109
BaseRepresentation
bin1011111010110101011011…
…0010001101000001011110
31201101212022221111100010100
42332231112302031001132
53204204330203034324
643512312130321530
72521556026243461
oct276552662150136
951355287440110
1013105401221214
1141a2a73372285
121577ab84292a6
13740aac4a4b33
1433443a5492d8
1517ad7cb7d4c9
hexbeb56c8d05e

13105401221214 has 24 divisors (see below), whose sum is σ = 28446946486920. Its totient is φ = 4360480841808.

The previous prime is 13105401221207. The next prime is 13105401221291. The reversal of 13105401221214 is 41212210450131.

13105401221214 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 401 + 221 + 21 + 4 = 666.

It is a super-3 number, since 3×131054012212143 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665509209 + ... + 665528900.

It is an arithmetic number, because the mean of its divisors is an integer number (1185289436955).

Almost surely, 213105401221214 is an apocalyptic number.

13105401221214 is an abundant number, since it is smaller than the sum of its proper divisors (15341545265706).

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

13105401221214 is a wasteful number, since it uses less digits than its factorization.

13105401221214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331038664 (or 1331038661 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13105401221214 its reverse (41212210450131), we get a palindrome (54317611671345).

The spelling of 13105401221214 in words is "thirteen trillion, one hundred five billion, four hundred one million, two hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 547 1094 1641 3282 4923 9846 1331038109 2662076218 3993114327 7986228654 11979342981 23958685962 728077845623 1456155691246 2184233536869 4368467073738 6552700610607 13105401221214