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21020113332232 = 23719145915538719
BaseRepresentation
bin1001100011110001000000…
…11000110110100000001000
32202102111120211200001222121
410301320200120312200020
510223343143003112412
6112412301243101024
74266440001205330
oct461704030664010
982374524601877
1021020113332232
116774641a8a153
122435a09511774
13b9625a5881a1
14529543a4c0c0
15266bac2a3107
hex131e20636808

21020113332232 has 128 divisors (see below), whose sum is σ = 47482283520000. Its totient is φ = 8522163311616.

The previous prime is 21020113332223. The next prime is 21020113332233. The reversal of 21020113332232 is 23223331102012.

It is a junction number, because it is equal to n+sod(n) for n = 21020113332197 and 21020113332206.

It is not an unprimeable number, because it can be changed into a prime (21020113332233) 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, 2410835569 + ... + 2410844287.

It is an arithmetic number, because the mean of its divisors is an integer number (370955340000).

Almost surely, 221020113332232 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 21020113332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23741141760000).

21020113332232 is an abundant number, since it is smaller than the sum of its proper divisors (26462170187768).

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

21020113332232 is a wasteful number, since it uses less digits than its factorization.

21020113332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11763 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21020113332232 its reverse (23223331102012), we get a palindrome (44243444434244).

The spelling of 21020113332232 in words is "twenty-one trillion, twenty billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1459 1553 2918 3106 5836 6212 8719 10213 10871 11672 12424 17438 20426 21742 27721 29507 34876 40852 43484 55442 59014 61033 69752 81704 86968 110884 118028 122066 165661 194047 206549 221768 236056 244132 331322 388094 413098 488264 662644 776188 826196 1159627 1325288 1552376 1652392 2265827 2319254 4531654 4638508 9063308 9277016 12721021 13540607 15860789 18126616 25442042 27081214 31721578 43050713 50884084 54162428 63443156 86101426 89047147 94784249 101768168 108324856 126886312 172202852 178094294 189568498 241699399 257271533 301354991 344405704 356188588 379136996 483398798 514543066 602709982 712377176 758273992 966797596 1029086132 1205419964 1691895793 1800900731 1933595192 2058172264 2410839928 3383791586 3601801462 6767583172 7203602924 13535166344 14407205848 19755745613 39511491226 79022982452 138290219291 158045964904 276580438582 375359166647 553160877164 750718333294 1106321754328 1501436666588 2627514166529 3002873333176 5255028333058 10510056666116 21020113332232