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23112033210032 = 241317191372511029
BaseRepresentation
bin1010100000101001100001…
…00001111000111010110000
310000211111012022222112022012
411100110300201320322300
511012131421000210112
6121053304350102052
74603534504606334
oct520246041707260
9100744168875265
1023112033210032
117400838243698
1227133251aa928
13cb85bc614ca0
1459c8b23997c4
152a12e4e45022
hex150530878eb0

23112033210032 has 160 divisors (see below), whose sum is σ = 54140619153600. Its totient is φ = 9441786691584.

The previous prime is 23112033210011. The next prime is 23112033210037. The reversal of 23112033210032 is 23001233021132.

It is not an unprimeable number, because it can be changed into a prime (23112033210037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7948694 + ... + 10459722.

It is an arithmetic number, because the mean of its divisors is an integer number (338378869710).

Almost surely, 223112033210032 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 23112033210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27070309576800).

23112033210032 is an abundant number, since it is smaller than the sum of its proper divisors (31028585943568).

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

23112033210032 is a wasteful number, since it uses less digits than its factorization.

23112033210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511223 (or 2511217 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 23112033210032 its reverse (23001233021132), we get a palindrome (46113266231164).

The spelling of 23112033210032 in words is "twenty-three trillion, one hundred twelve billion, thirty-three million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 137 152 208 221 247 272 274 304 323 442 494 548 646 884 988 1096 1292 1768 1781 1976 2192 2329 2584 2603 3536 3562 3952 4199 4658 5168 5206 7124 8398 9316 10412 14248 16796 18632 20824 28496 30277 33592 33839 37264 41648 44251 60554 67184 67678 88502 121108 135356 177004 242216 270712 354008 484432 541424 575263 708016 1150526 2301052 2511029 4602104 5022058 9204208 10044116 20088232 32643377 40176464 42687493 47709551 65286754 85374986 95419102 130573508 170749972 190838204 261147016 341499944 344010973 381676408 522294032 554937409 620224163 682999888 688021946 763352816 811062367 1109874818 1240448326 1376043892 1622124734 2219749636 2480896652 2752087784 3244249468 4439499272 4472142649 4961793304 5504175568 5848186541 6488498936 6536208487 8878998544 8944285298 9923586608 10543810771 11696373082 12976997872 13072416974 17888570596 21087621542 23392746164 26144833948 35777141192 42175243084 46785492328 52289667896 71554282384 76026425033 84350486168 84970710331 93570984656 104579335792 111115544279 152052850066 168700972336 169941420662 222231088558 304105700132 339882841324 444462177116 608211400264 679765682648 888924354232 1216422800528 1359531365296 1444502075627 1777848708464 2889004151254 5778008302508 11556016605016 23112033210032