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32130120331232 = 25711113115396651
BaseRepresentation
bin1110100111000111000000…
…11010001010111111100000
311012202121110022220022111022
413103203200122022333200
513202404441301044412
6152200212402305012
76524216222432450
oct723434032127740
9135677408808438
1032130120331232
11a268342329670
12372b048358168
1314c0b1b789a51
147d116b2a9d60
153aaba1488a72
hex1d38e068afe0

32130120331232 has 96 divisors (see below), whose sum is σ = 79562760447744. Its totient is φ = 12407447808000.

The previous prime is 32130120331229. The next prime is 32130120331237. The reversal of 32130120331232 is 23213302103123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130120331237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57419894 + ... + 57976757.

It is an arithmetic number, because the mean of its divisors is an integer number (828778754664).

Almost surely, 232130120331232 is an apocalyptic number.

32130120331232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32130120331232 is an abundant number, since it is smaller than the sum of its proper divisors (47432640116512).

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

32130120331232 is a wasteful number, since it uses less digits than its factorization.

32130120331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115396792 (or 115396784 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 32130120331232 its reverse (23213302103123), we get a palindrome (55343422434355).

The spelling of 32130120331232 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 113 154 176 224 226 308 352 452 616 791 904 1232 1243 1582 1808 2464 2486 3164 3616 4972 6328 8701 9944 12656 17402 19888 25312 34804 39776 69608 139216 278432 115396651 230793302 461586604 807776557 923173208 1269363161 1615553114 1846346416 2538726322 3231106228 3692692832 5077452644 6462212456 8885542127 10154905288 12924424912 13039821563 17771084254 20309810576 25848849824 26079643126 35542168508 40619621152 52159286252 71084337016 91278750941 104318572504 142168674032 143438037193 182557501882 208637145008 284337348064 286876074386 365115003764 417274290016 573752148772 730230007528 1004066260351 1147504297544 1460460015056 2008132520702 2295008595088 2920920030112 4016265041404 4590017190176 8032530082808 16065060165616 32130120331232