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20330121203232 = 2532321180133923
BaseRepresentation
bin1001001111101011110011…
…01001110000111000100000
32122222112121002202012100120
410213311321221300320200
510131042042012000412
6111123310113120240
74165542232655301
oct447657151607040
978875532665316
1020330121203232
116528a57461125
122344144559080
13b46178633209
14503da99587a8
15253c76b10b8c
hex127d79a70e20

20330121203232 has 144 divisors (see below), whose sum is σ = 55794107765088. Its totient is φ = 6481327283200.

The previous prime is 20330121203167. The next prime is 20330121203237. The reversal of 20330121203232 is 23230212103302.

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 (20330121203237) 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, 599285023 + ... + 599318945.

It is an arithmetic number, because the mean of its divisors is an integer number (387459081702).

Almost surely, 220330121203232 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 20330121203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27897053882544).

20330121203232 is an abundant number, since it is smaller than the sum of its proper divisors (35463986561856).

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

20330121203232 is a wasteful number, since it uses less digits than its factorization.

20330121203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45783 (or 45752 counting only the distinct ones).

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

Adding to 20330121203232 its reverse (23230212103302), we get a palindrome (43560333306534).

The spelling of 20330121203232 in words is "twenty trillion, three hundred thirty billion, one hundred twenty-one million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 6348 8464 11801 12696 16928 23602 25392 33923 35403 47204 50784 67846 70806 94408 101769 135692 141612 188816 203538 271384 271423 283224 377632 407076 542768 542846 566448 780229 814152 814269 1085536 1085692 1132896 1560458 1628304 1628538 2171384 2340687 3120916 3256608 3257076 4342768 4681374 6241832 6242729 6514152 8685536 9362748 12483664 12485458 13028304 17945267 18725496 18728187 24967328 24970916 26056608 35890534 37450992 37456374 49941832 53835801 71781068 74901984 74912748 99883664 107671602 143562136 149825496 199767328 215343204 287124272 299650992 400325323 430686408 574248544 599301984 800650646 861372816 1200975969 1601301292 1722745632 2401951938 3202602584 4803903876 6405205168 9207482429 9607807752 12810410336 18414964858 19215615504 27622447287 36829929716 38431231008 55244894574 73659859432 110489789148 147319718864 211772095867 220979578296 294639437728 423544191734 441959156592 635316287601 847088383468 883918313184 1270632575202 1694176766936 2541265150404 3388353533872 5082530300808 6776707067744 10165060601616 20330121203232