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13200722172 = 22331131135729
BaseRepresentation
bin11000100101101001…
…10000100011111100
31021001222111011112000
430102310300203330
5204013341102142
610021521142300
7645061200321
oct142264604374
937058434460
1013200722172
115664510a50
122684a8a990
131324b4c911
148d3298b48
15523da014c
hex312d308fc

13200722172 has 96 divisors (see below), whose sum is σ = 37456473600. Its totient is φ = 3987244800.

The previous prime is 13200722159. The next prime is 13200722191. The reversal of 13200722172 is 27122700231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351604 + ... + 387332.

It is an arithmetic number, because the mean of its divisors is an integer number (390171600).

Almost surely, 213200722172 is an apocalyptic number.

13200722172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200722172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728236800).

13200722172 is an abundant number, since it is smaller than the sum of its proper divisors (24255751428).

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

13200722172 is a wasteful number, since it uses less digits than its factorization.

13200722172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36064 (or 36056 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 13200722172 in words is "thirteen billion, two hundred million, seven hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 311 396 594 622 933 1188 1244 1866 2799 3421 3732 5598 6842 8397 10263 11196 13684 16794 20526 30789 33588 35729 41052 61578 71458 92367 107187 123156 142916 184734 214374 321561 369468 393019 428748 643122 786038 964683 1179057 1286244 1572076 1929366 2358114 3537171 3858732 4716228 7074342 10611513 11111719 14148684 21223026 22223438 33335157 42446052 44446876 66670314 100005471 122228909 133340628 200010942 244457818 300016413 366686727 400021884 488915636 600032826 733373454 1100060181 1200065652 1466746908 2200120362 3300180543 4400240724 6600361086 13200722172