Search a number
-
+
21303312322032 = 24321361718444043
BaseRepresentation
bin1001101100000000100000…
…10111010000110111110000
32210102120120110112100111200
410312000100113100313300
510243013140423301112
6113150335004211200
74326053636665656
oct466002027206760
983376513470450
1021303312322032
11687375847a854
122480884239b00
13bb6b806b5c30
1453912b6acdd6
1526e234994cdc
hex1360105d0df0

21303312322032 has 120 divisors (see below), whose sum is σ = 64309881081264. Its totient is φ = 6544241206272.

The previous prime is 21303312322027. The next prime is 21303312322051. The reversal of 21303312322032 is 23022321330312.

21303312322032 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 331 + 2 + 322 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×213033123220322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21303312321987 and 21303312322005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8066998 + ... + 10377045.

Almost surely, 221303312322032 is an apocalyptic number.

It is an amenable number.

21303312322032 is an abundant number, since it is smaller than the sum of its proper divisors (43006568759232).

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

21303312322032 is a wasteful number, since it uses less digits than its factorization.

21303312322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18444687 (or 18444678 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21303312322032 its reverse (23022321330312), we get a palindrome (44325633652344).

The spelling of 21303312322032 in words is "twenty-one trillion, three hundred three billion, three hundred twelve million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 617 624 936 1234 1851 1872 2468 3702 4936 5553 7404 8021 9872 11106 14808 16042 22212 24063 29616 32084 44424 48126 64168 72189 88848 96252 128336 144378 192504 288756 385008 577512 1155024 18444043 36888086 55332129 73776172 110664258 147552344 165996387 221328516 239772559 295104688 331992774 442657032 479545118 663985548 719317677 885314064 959090236 1327971096 1438635354 1918180472 2157953031 2655942192 2877270708 3836360944 4315906062 5754541416 8631812124 11379974531 11509082832 17263624248 22759949062 34139923593 34527248496 45519898124 68279847186 91039796248 102419770779 136559694372 147939668903 182079592496 204839541558 273119388744 295879337806 409679083116 443819006709 546238777488 591758675612 819358166232 887638013418 1183517351224 1331457020127 1638716332464 1775276026836 2367034702448 2662914040254 3550552053672 5325828080508 7101104107344 10651656161016 21303312322032