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21231140104104 = 2337971832971081
BaseRepresentation
bin1001101001111010000101…
…00100000110011110101000
32210011200021122202210211020
410310331002210012132220
510240322333331312404
6113053241235132440
74320620305160310
oct464750244063650
983150248683736
1021231140104104
116846092104257
12246a8a1a44120
13bb011b216538
145358423ac440
1526c40d803ed9
hex134f429067a8

21231140104104 has 128 divisors (see below), whose sum is σ = 61289971142400. Its totient is φ = 6003091537920.

The previous prime is 21231140104093. The next prime is 21231140104117. The reversal of 21231140104104 is 40140104113212.

It is a happy number.

It is a super-2 number, since 2×212311401041042 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298653844 + ... + 298724924.

It is an arithmetic number, because the mean of its divisors is an integer number (478827899550).

Almost surely, 221231140104104 is an apocalyptic number.

21231140104104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231140104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30644985571200).

21231140104104 is an abundant number, since it is smaller than the sum of its proper divisors (40058831038296).

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

21231140104104 is a wasteful number, since it uses less digits than its factorization.

21231140104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89523 (or 89519 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21231140104104 its reverse (40140104113212), we get a palindrome (61371244217316).

The spelling of 21231140104104 in words is "twenty-one trillion, two hundred thirty-one billion, one hundred forty million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 16296 18329 36658 54987 71081 73316 109974 128303 142162 146632 213243 219948 256606 284324 384909 426486 439896 497567 513212 568648 769818 852972 995134 1026424 1492701 1539636 1705944 1777913 1990268 2985402 3079272 3555826 3980536 5333739 5970804 6894857 7111652 10667478 11941608 12445391 13789714 14223304 20684571 21334956 24890782 27579428 37336173 41369142 42669912 48263999 49781564 55158856 74672346 82738284 96527998 99563128 144791997 149344692 165476568 193055996 289583994 298689384 386111992 579167988 1158335976 1302843649 2605687298 3908530947 5211374596 7817061894 9119905543 10422749192 15634123788 18239811086 27359716629 31268247576 36479622172 54719433258 72959244344 109438866516 126375833953 218877733032 252751667906 379127501859 505503335812 758255003718 884630837671 1011006671624 1516510007436 1769261675342 2653892513013 3033020014872 3538523350684 5307785026026 7077046701368 10615570052052 21231140104104