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23105321330232 = 23361109631722921
BaseRepresentation
bin1010100000011101000000…
…11110000110011000111000
310000210211212120101201010110
411100032200132012120320
511012024144230031412
6121050234343144320
74603206254560551
oct520164036063070
9100724776351113
1023105321330232
1173a8a03599a99
122711b714450a0
13cb7a8cc0a78b
1459c436bdd328
152a1050a8ed3c
hex1503a0786638

23105321330232 has 128 divisors (see below), whose sum is σ = 59260833403200. Its totient is φ = 7504499404800.

The previous prime is 23105321330177. The next prime is 23105321330239. The reversal of 23105321330232 is 23203312350132.

It is a self number, because there is not a number n which added to its sum of digits gives 23105321330232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105321330239) 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, 1008030132 + ... + 1008053052.

Almost surely, 223105321330232 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 23105321330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29630416701600).

23105321330232 is an abundant number, since it is smaller than the sum of its proper divisors (36155512072968).

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

23105321330232 is a wasteful number, since it uses less digits than its factorization.

23105321330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29417 (or 29413 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 23105321330232 its reverse (23203312350132), we get a palindrome (46308633680364).

The spelling of 23105321330232 in words is "twenty-three trillion, one hundred five billion, three hundred twenty-one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 109 122 183 218 244 327 366 436 488 654 732 872 1308 1464 2616 6317 6649 12634 13298 18951 19947 22921 25268 26596 37902 39894 45842 50536 53192 68763 75804 79788 91684 137526 151608 159576 183368 275052 385337 550104 688553 770674 1156011 1377106 1398181 1541348 2065659 2312022 2498389 2754212 2796362 3082696 4131318 4194543 4624044 4996778 5508424 5592724 7495167 8262636 8389086 9248088 9993556 11185448 14990334 16525272 16778172 19987112 29980668 33556344 42001733 59961336 84003466 126005199 144791957 152401729 168006932 252010398 289583914 304803458 336013864 434375871 457205187 504020796 579167828 609606916 868751742 914410374 1008041592 1158335656 1219213832 1737503484 1828820748 3475006968 3657641496 8832309377 15782323313 17664618754 26496928131 31564646626 35329237508 47346969939 52993856262 63129293252 70658475016 94693939878 105987712524 126258586504 189387879756 211975425048 378775759512 962721722093 1925443444186 2888165166279 3850886888372 5776330332558 7701773776744 11552660665116 23105321330232