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323323022112 = 25329226751229
BaseRepresentation
bin1001011010001111000…
…11011100101100100000
31010220112221022022100220
410231013203130230200
520244131143201422
6404311010243040
732234150225346
oct4550743345440
91126487268326
10323323022112
11115136464a92
12527b4286480
1324648ab96cc
14119128b7996
158625028e5c
hex4b478dcb20

323323022112 has 96 divisors (see below), whose sum is σ = 878393678400. Its totient is φ = 104010052608.

The previous prime is 323323022111. The next prime is 323323022159. The reversal of 323323022112 is 211220323323.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (323323022111) 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, 6285714 + ... + 6336942.

It is an arithmetic number, because the mean of its divisors is an integer number (9149934150).

Almost surely, 2323323022112 is an apocalyptic number.

323323022112 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 323323022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439196839200).

323323022112 is an abundant number, since it is smaller than the sum of its proper divisors (555070656288).

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

323323022112 is a wasteful number, since it uses less digits than its factorization.

323323022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53538 (or 53530 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 323323022112 its reverse (211220323323), we get a palindrome (534543345435).

The spelling of 323323022112 in words is "three hundred twenty-three billion, three hundred twenty-three million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2267 2784 4534 6801 9068 13602 18136 27204 36272 51229 54408 65743 72544 102458 108816 131486 153687 197229 204916 217632 262972 307374 394458 409832 525944 614748 788916 819664 1051888 1229496 1485641 1577832 1639328 2103776 2458992 2971282 3155664 4456923 4917984 5942564 6311328 8913846 11885128 17827692 23770256 35655384 47540512 71310768 116136143 142621536 232272286 348408429 464544572 696816858 929089144 1393633716 1858178288 2787267432 3367948147 3716356576 5574534864 6735896294 10103844441 11149069728 13471792588 20207688882 26943585176 40415377764 53887170352 80830755528 107774340704 161661511056 323323022112