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13013201232 = 2433194138669
BaseRepresentation
bin11000001111010010…
…11011000101010000
31020120220122010011000
430013221123011100
5203122334414412
65551142022000
7640323246123
oct140751330520
936526563130
1013013201232
115578681769
122632117900
1312c5044695
148b64043ba
155126ad4dc
hex307a5b150

13013201232 has 160 divisors (see below), whose sum is σ = 40278672000. Its totient is φ = 4009098240.

The previous prime is 13013201207. The next prime is 13013201237. The reversal of 13013201232 is 23210231031.

13013201232 is a `hidden beast` number, since 1 + 301 + 320 + 12 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013201237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317194 + ... + 355862.

It is an arithmetic number, because the mean of its divisors is an integer number (251741700).

Almost surely, 213013201232 is an apocalyptic number.

13013201232 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 13013201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139336000).

13013201232 is an abundant number, since it is smaller than the sum of its proper divisors (27265470768).

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

13013201232 is a wasteful number, since it uses less digits than its factorization.

13013201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38746 (or 38734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013201232 its reverse (23210231031), we get a palindrome (36223432263).

The spelling of 13013201232 in words is "thirteen billion, thirteen million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 72 76 82 108 114 123 144 152 164 171 216 228 246 304 328 342 369 432 456 492 513 656 684 738 779 912 984 1026 1107 1368 1476 1558 1968 2052 2214 2337 2736 2952 3116 4104 4428 4674 5904 6232 7011 8208 8856 9348 12464 14022 17712 18696 21033 28044 37392 38669 42066 56088 77338 84132 112176 116007 154676 168264 232014 309352 336528 348021 464028 618704 696042 734711 928056 1044063 1392084 1469422 1585429 1856112 2088126 2204133 2784168 2938844 3170858 4176252 4408266 4756287 5568336 5877688 6341716 6612399 8352504 8816532 9512574 11755376 12683432 13224798 14268861 16705008 17633064 19025148 19837197 25366864 26449596 28537722 30123151 35266128 38050296 39674394 42806583 52899192 57075444 60246302 76100592 79348788 85613166 90369453 105798384 114150888 120492604 158697576 171226332 180738906 228301776 240985208 271108359 317395152 342452664 361477812 481970416 542216718 684905328 722955624 813325077 1084433436 1445911248 1626650154 2168866872 3253300308 4337733744 6506600616 13013201232