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20332203301032 = 23373711328946429
BaseRepresentation
bin1001001111101111101011…
…10000010101100010101000
32122222201222012120201120220
410213313311300111202220
510131110323021113112
6111124252451450040
74165644644341260
oct447676560254250
978881865521526
1020332203301032
116529925782007
1223446258b6920
13b4641aac374c
145041262a47a0
15253d497dd98c
hex127df5c158a8

20332203301032 has 128 divisors (see below), whose sum is σ = 60190048684800. Its totient is φ = 5602175889408.

The previous prime is 20332203301027. The next prime is 20332203301061. The reversal of 20332203301032 is 23010330223302.

It is a super-2 number, since 2×203322033010322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20332203300993 and 20332203301011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13770807 + ... + 15175622.

It is an arithmetic number, because the mean of its divisors is an integer number (470234755350).

Almost surely, 220332203301032 is an apocalyptic number.

It is an amenable number.

20332203301032 is an abundant number, since it is smaller than the sum of its proper divisors (39857845383768).

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

20332203301032 is a wasteful number, since it uses less digits than its factorization.

20332203301032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28946595 (or 28946591 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 20332203301032 its reverse (23010330223302), we get a palindrome (43342533524334).

The spelling of 20332203301032 in words is "twenty trillion, three hundred thirty-two billion, two hundred three million, three hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 113 148 168 222 226 259 296 339 444 452 518 678 777 791 888 904 1036 1356 1554 1582 2072 2373 2712 3108 3164 4181 4746 6216 6328 8362 9492 12543 16724 18984 25086 29267 33448 50172 58534 87801 100344 117068 175602 234136 351204 702408 28946429 57892858 86839287 115785716 173678574 202625003 231571432 347357148 405250006 607875009 694714296 810500012 1071017873 1215750018 1621000024 2142035746 2431500036 3213053619 3270946477 4284071492 4863000072 6426107238 6541892954 7497125111 8568142984 9812839431 12852214476 13083785908 14994250222 19625678862 22491375333 22896625339 25704428952 26167571816 29988500444 39251357724 44982750666 45793250678 59977000888 68689876017 78502715448 89965501332 91586501356 121025019649 137379752034 179931002664 183173002712 242050039298 274759504068 363075058947 484100078596 549519008136 726150117894 847175137543 968200157192 1452300235788 1694350275086 2541525412629 2904600471576 3388700550172 5083050825258 6777401100344 10166101650516 20332203301032