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323233023020112 = 24323797358380489
BaseRepresentation
bin100100101111110101000110…
…1100001000100110001010000
31120101110202221010121021211100
41021133222031201010301100
5314331322212343120422
63103243111213544400
7125040546430662462
oct11137521541046120
91511422833537740
10323233023020112
1193aa039a911197
12303048854a5100
1310b48987cb41aa
1459b67c1792132
1527580755c67ac
hex125fa8d844c50

323233023020112 has 120 divisors (see below), whose sum is σ = 907013941142400. Its totient is φ = 107457259682304.

The previous prime is 323233023020111. The next prime is 323233023020161. The reversal of 323233023020112 is 211020320332323.

323233023020112 is a `hidden beast` number, since 3 + 2 + 323 + 30 + 2 + 302 + 0 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323233023020111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4015825564 + ... + 4015906052.

It is an arithmetic number, because the mean of its divisors is an integer number (7558449509520).

Almost surely, 2323233023020112 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 323233023020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453506970571200).

323233023020112 is an abundant number, since it is smaller than the sum of its proper divisors (583780918122288).

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

323233023020112 is a wasteful number, since it uses less digits than its factorization.

323233023020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154465 (or 154456 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 323233023020112 its reverse (211020320332323), we get a palindrome (534253343352435).

The spelling of 323233023020112 in words is "three hundred twenty-three trillion, two hundred thirty-three billion, twenty-three million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 379 758 1137 1516 2274 3032 3411 4548 6064 6822 9096 13644 18192 27288 54576 73583 80489 147166 160978 220749 241467 294332 321956 441498 482934 588664 643912 662247 724401 882996 965868 1177328 1287824 1324494 1448802 1765992 1931736 2648988 2897604 3531984 3863472 5297976 5795208 10595952 11590416 27887957 30505331 55775914 61010662 83663871 91515993 111551828 122021324 167327742 183031986 223103656 244042648 250991613 274547979 334655484 366063972 446207312 488085296 501983226 549095958 669310968 732127944 1003966452 1098191916 1338621936 1464255888 2007932904 2196383832 4015865808 4392767664 5922622087 11845244174 17767866261 23690488348 35535732522 47380976696 53303598783 71071465044 94761953392 106607197566 142142930088 213214395132 284285860176 426428790264 852857580528 2244673770973 4489347541946 6734021312919 8978695083892 13468042625838 17957390167784 20202063938757 26936085251676 35914780335568 40404127877514 53872170503352 80808255755028 107744341006704 161616511510056 323233023020112