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32230524000213 = 33711374111101921
BaseRepresentation
bin1110101010000010000001…
…11011110001011111010101
311020010012121122010011111000
413111001000323301133111
513211031103121001323
6152314255345333513
76534402300513450
oct725010073613725
9136105548104430
1032230524000213
11a2a69856061a0
1237465a9337299
1314ca42cac3a76
147d5d73ba8497
153ad5cad5de43
hex1d5040ef17d5

32230524000213 has 128 divisors (see below), whose sum is σ = 61155548282880. Its totient is φ = 16286489856000.

The previous prime is 32230524000203. The next prime is 32230524000217. The reversal of 32230524000213 is 31200042503223.

32230524000213 is a `hidden beast` number, since 3 + 2 + 230 + 5 + 2 + 400 + 0 + 21 + 3 = 666.

It is not a de Polignac number, because 32230524000213 - 213 = 32230523992021 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32230524000217) 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 127 ways as a sum of consecutive naturals, for example, 316179493 + ... + 316281413.

It is an arithmetic number, because the mean of its divisors is an integer number (477777720960).

Almost surely, 232230524000213 is an apocalyptic number.

32230524000213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32230524000213 is a deficient number, since it is larger than the sum of its proper divisors (28925024282667).

32230524000213 is a wasteful number, since it uses less digits than its factorization.

32230524000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106096 (or 106090 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 32230524000213 its reverse (31200042503223), we get a palindrome (63430566503436).

The spelling of 32230524000213 in words is "thirty-two trillion, two hundred thirty billion, five hundred twenty-four million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 11 21 27 33 37 63 77 99 111 189 231 259 297 333 407 693 777 999 1221 2079 2331 2849 3663 4111 6993 8547 10989 12333 25641 28777 36999 45221 76923 86331 101921 110997 135663 152107 258993 305763 316547 406989 456321 713447 776979 917289 949641 1064749 1121131 1220967 1368963 1673177 2140341 2751867 2848923 3194247 3363393 3771077 4106889 5019531 6421023 7847917 8546769 9582741 10090179 11313231 11712239 15058593 19263069 23543751 26397539 28748223 30270537 33939693 35136717 41481847 45175779 70631253 79192617 101819079 105410151 124445541 211893759 237577851 290372929 316230453 373336623 418997231 712733553 871118787 1120009869 1256991693 2613356361 2932980617 3770975079 4608969541 7840069083 8798941851 11312925237 13826908623 15502897547 26396825553 32262786787 41480725869 46508692641 79190476659 96788360361 108520282829 124442177607 139526077923 170531873017 290365081083 325560848487 418578233769 511595619051 871095243249 976682545461 1193723111119 1534786857153 2930047636383 3581169333357 4604360571459 10743508000071 32230524000213