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21004414312122 = 23217217231234331
BaseRepresentation
bin1001100011010011110001…
…01001110101111010111010
32202101000001202012012222100
410301221320221311322322
510223114020030441442
6112401143354404230
74265342652555363
oct461517051657272
982330052165870
1021004414312122
116768a16327a6a
122432967a30676
13b94927c83a87
14528894a66b6a
1526658de1184c
hex131a78a75eba

21004414312122 has 72 divisors (see below), whose sum is σ = 48347082044352. Its totient is φ = 6589209628800.

The previous prime is 21004414312117. The next prime is 21004414312153. The reversal of 21004414312122 is 22121341440012.

21004414312122 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 4 + 414 + 31 + 212 + 2 = 666.

It is a super-2 number, since 2×210044143121222 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89518497 + ... + 89752827.

It is an arithmetic number, because the mean of its divisors is an integer number (671487250616).

Almost surely, 221004414312122 is an apocalyptic number.

21004414312122 is an abundant number, since it is smaller than the sum of its proper divisors (27342667732230).

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

21004414312122 is a wasteful number, since it uses less digits than its factorization.

21004414312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251604 (or 251584 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21004414312122 its reverse (22121341440012), we get a palindrome (43125755752134).

The spelling of 21004414312122 in words is "twenty-one trillion, four billion, four hundred fourteen million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 17231 34462 51693 103386 155079 234331 292927 310158 468662 585854 702993 878781 1405986 1757562 2108979 2636343 3983627 4217958 4979759 5272686 7967254 9959518 11950881 14939277 23901762 29878554 35852643 44817831 67721659 71705286 89635662 135443318 203164977 406329954 609494931 1218989862 4037757461 8075514922 12113272383 24226544766 36339817149 68641876837 72679634298 137283753674 205925630511 411851261022 617776891533 1166911906229 1235553783066 2333823812458 3500735718687 7001471437374 10502207156061 21004414312122