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232003212033010 = 251131613755914683
BaseRepresentation
bin110100110000000101110101…
…000010100011101111110010
31010102110021211202011211222011
4310300011311002203233302
5220402120034240024020
62141232445414433134
766603451605236605
oct6460056502435762
91112407752154864
10232003212033010
1167a18011977120
122202b93a3627aa
139c5ba69555032
14414103029c33c
151bc4e08d1e35a
hexd301750a3bf2

232003212033010 has 128 divisors (see below), whose sum is σ = 471127301406720. Its totient is φ = 81493838726400.

The previous prime is 232003212032987. The next prime is 232003212033023. The reversal of 232003212033010 is 10330212300232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15800797129 + ... + 15800811811.

It is an arithmetic number, because the mean of its divisors is an integer number (3680682042240).

Almost surely, 2232003212033010 is an apocalyptic number.

232003212033010 is an abundant number, since it is smaller than the sum of its proper divisors (239124089373710).

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

232003212033010 is a wasteful number, since it uses less digits than its factorization.

232003212033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 232003212033010 its reverse (10330212300232), we get a palindrome (242333424333242).

The spelling of 232003212033010 in words is "two hundred thirty-two trillion, three billion, two hundred twelve million, thirty-three thousand, ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 613 682 1226 1705 3065 3410 6130 6743 7559 13486 14683 15118 19003 29366 33715 37795 38006 67430 73415 75590 83149 95015 146830 161513 166298 190030 209033 234329 323026 415745 418066 455173 468658 807565 831490 910346 1045165 1171645 1615130 2090330 2275865 2343290 2577619 4551730 4633667 5006903 5155238 9000679 9267334 10013806 12888095 18001358 23168335 25034515 25776190 45003395 46336670 50069030 50970337 90006790 99007469 101940674 110988797 143643677 198014938 221977594 254851685 279021049 287287354 495037345 509703370 554943985 558042098 718218385 990074690 1109887970 1220876767 1395105245 1436436770 1580080447 2441753534 2790210490 3069231539 3160160894 3440652707 6104383835 6138463078 6881305414 7900402235 12208767670 15346157695 15800804470 17203263535 30692315390 34406527070 37847179777 68036132561 75694359554 136072265122 189235898885 340180662805 378471797770 680361325610 748397458171 1496794916342 2109120109391 3741987290855 4218240218782 7483974581710 10545600546955 21091201093910 23200321203301 46400642406602 116001606016505 232003212033010