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5103315310401 = 347211116890339
BaseRepresentation
bin100101001000011010101…
…0010111101011101000001
3200001212112211002200120000
41022100311102331131001
51132103042204413101
614504233010110213
71034462624260500
oct112206522753501
920055484080500
105103315310401
1116983384a4410
126a5081b7b369
132b03186b6a29
14139004c4a837
158cb37a35486
hex4a4354bd741

5103315310401 has 60 divisors (see below), whose sum is σ = 9674312099760. Its totient is φ = 2651072865840.

The previous prime is 5103315310393. The next prime is 5103315310411. The reversal of 5103315310401 is 1040135133015.

It is a happy number.

5103315310401 is a `hidden beast` number, since 5 + 10 + 331 + 5 + 310 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 5103315310401 - 23 = 5103315310393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5103315310411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58401511 + ... + 58488828.

It is an arithmetic number, because the mean of its divisors is an integer number (161238534996).

Almost surely, 25103315310401 is an apocalyptic number.

It is an amenable number.

5103315310401 is a deficient number, since it is larger than the sum of its proper divisors (4570996789359).

5103315310401 is a wasteful number, since it uses less digits than its factorization.

5103315310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116890376 (or 116890360 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 5103315310401 in words is "five trillion, one hundred three billion, three hundred fifteen million, three hundred ten thousand, four hundred one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 147 189 231 297 441 539 567 693 891 1323 1617 2079 3969 4851 6237 14553 43659 116890339 350671017 818232373 1052013051 1285793729 2454697119 3156039153 3857381187 5727626611 7364091357 9000556103 9468117459 11572143561 17182879833 22092274071 27001668309 34716430683 51548639499 63003892721 66276822213 81005004927 104149292049 154645918497 189011678163 243015014781 463937755491 567035034489 729045044343 1701105103467 5103315310401