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13241013102396 = 22323132573642833
BaseRepresentation
bin1100000010101110100111…
…1000011110011100111100
31201212211100222011200111100
43000223221320132130330
53213420043323234041
644054500515453100
72534426435230452
oct300535170363474
951784328150440
1013241013102396
114245533781842
12159a2445b7190
13750811c03a01
1433ac230729d2
1517e6685116b6
hexc0ae9e1e73c

13241013102396 has 72 divisors (see below), whose sum is σ = 34560644436864. Its totient is φ = 4269981957120.

The previous prime is 13241013102391. The next prime is 13241013102397. The reversal of 13241013102396 is 69320131014231.

13241013102396 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 101 + 310 + 239 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13241013102396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241013102391) 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, 1813396 + ... + 5456228.

It is an arithmetic number, because the mean of its divisors is an integer number (480008950512).

Almost surely, 213241013102396 is an apocalyptic number.

It is an amenable number.

13241013102396 is an abundant number, since it is smaller than the sum of its proper divisors (21319631334468).

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

13241013102396 is a wasteful number, since it uses less digits than its factorization.

13241013102396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646131 (or 3646126 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13241013102396 in words is "thirteen trillion, two hundred forty-one billion, thirteen million, one hundred two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 3257 6514 9771 13028 19542 29313 39084 58626 100967 117252 201934 302901 403868 605802 908703 1211604 1817406 3634812 3642833 7285666 10928499 14571332 21856998 32785497 43713996 65570994 112927823 131141988 225855646 338783469 451711292 677566938 1016350407 1355133876 2032700814 4065401628 11864707081 23729414162 35594121243 47458828324 71188242486 106782363729 142376484972 213564727458 367805919511 427129454916 735611839022 1103417758533 1471223678044 2206835517066 3310253275599 4413671034132 6620506551198 13241013102396