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32130003303232 = 264171971777939
BaseRepresentation
bin1110100111000110110010…
…11011101111101101000000
311012202121011011200200020221
413103203121123233231000
513202404221321200412
6152200153022112424
76524213301630112
oct723433133575500
9135677134620227
1032130003303232
11a26829226780a
12372b01511b714
1314c0b00463803
147d11599253b2
153aab9606db07
hex1d38d96efb40

32130003303232 has 112 divisors (see below), whose sum is σ = 66915801509760. Its totient is φ = 15293111500800.

The previous prime is 32130003303197. The next prime is 32130003303269. The reversal of 32130003303232 is 23230330003123.

It is a super-2 number, since 2×321300033032322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32130003303197 and 32130003303206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17182519 + ... + 18960457.

It is an arithmetic number, because the mean of its divisors is an integer number (597462513480).

Almost surely, 232130003303232 is an apocalyptic number.

32130003303232 is a gapful number since it is divisible by the number (32) 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 32130003303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33457900754880).

32130003303232 is an abundant number, since it is smaller than the sum of its proper divisors (34785798206528).

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

32130003303232 is a wasteful number, since it uses less digits than its factorization.

32130003303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778160 (or 1778150 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 32130003303232 its reverse (23230330003123), we get a palindrome (55360333306355).

The spelling of 32130003303232 in words is "thirty-two trillion, one hundred thirty billion, three million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 71 82 97 142 164 194 284 328 388 568 656 776 1136 1312 1552 2272 2624 2911 3104 3977 4544 5822 6208 6887 7954 11644 13774 15908 23288 27548 31816 46576 55096 63632 93152 110192 127264 186304 220384 254528 282367 440768 564734 1129468 1777939 2258936 3555878 4517872 7111756 9035744 14223512 18071488 28447024 56894048 72895499 113788096 126233669 145790998 172460083 252467338 291581996 344920166 504934676 583163992 689840332 1009869352 1166327984 1379680664 2019738704 2332655968 2759361328 4039477408 4665311936 5175580429 5518722656 7070863403 8078954816 10351160858 11037445312 12244665893 14141726806 20702321716 24489331786 28283453612 41404643432 48978663572 56566907224 82809286864 97957327144 113133814448 165618573728 195914654288 226267628896 331237147456 391829308576 452535257792 502031301613 783658617152 1004062603226 2008125206452 4016250412904 8032500825808 16065001651616 32130003303232