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231321223100032 = 2713224317439753
BaseRepresentation
bin110100100110001010101011…
…010101001111011010000000
31010100001002111202200110100121
4310212022223111033122000
5220304431331103200112
62135551300341030024
766503256360040552
oct6446125325173200
91110032452613317
10231321223100032
11677848639a978a
1221b3b7296b5314
139c0c6616c1b00
14411a0150654d2
151bb22e10a9407
hexd262ab54f680

231321223100032 has 96 divisors (see below), whose sum is σ = 499032606130380. Its totient is φ = 106759008165888.

The previous prime is 231321223099937. The next prime is 231321223100057. The reversal of 231321223100032 is 230001322123132.

It can be written as a sum of positive squares in 6 ways, for example, as 63972227013696 + 167348996086336 = 7998264^2 + 12936344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525805468 + ... + 526245220.

Almost surely, 2231321223100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231321223100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249516303065190).

231321223100032 is an abundant number, since it is smaller than the sum of its proper divisors (267711383030348).

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

231321223100032 is a wasteful number, since it uses less digits than its factorization.

231321223100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464110 (or 464085 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 231321223100032 its reverse (230001322123132), we get a palindrome (461322545223164).

The spelling of 231321223100032 in words is "two hundred thirty-one trillion, three hundred twenty-one billion, two hundred twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 24317 48634 97268 194536 316121 389072 439753 632242 778144 879506 1264484 1556288 1759012 2528968 3112576 3518024 4109573 5057936 5716789 7036048 8219146 10115872 11433578 14072096 16438292 20231744 22867156 28144192 32876584 40463488 45734312 56288384 65753168 74318257 91468624 131506336 148636514 182937248 263012672 297273028 365874496 526025344 594546056 731748992 1189092112 2378184224 4756368448 9512736896 10693473701 21386947402 42773894804 85547789608 139015158113 171095579216 278030316226 342191158432 556060632452 684382316864 1112121264904 1368764633728 1807197055469 2224242529808 3614394110938 4448485059616 7228788221876 8896970119232 14457576443752 17793940238464 28915152887504 57830305775008 115660611550016 231321223100032