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331430020302432 = 25326385915281701
BaseRepresentation
bin100101101011011110001000…
…0101000001100011001100000
31121110111101210222010111220010
41023112330100220030121200
5321420122140144134212
63132520503245244520
7126545012604164052
oct11326742050143140
91543441728114803
10331430020302432
1196670756109367
1231209437263740
13112c1941aa0c9c
145bbb4273dd8d2
15284b3c708203c
hex12d6f10a0c660

331430020302432 has 96 divisors (see below), whose sum is σ = 874328520764160. Its totient is φ = 109928481062400.

The previous prime is 331430020302361. The next prime is 331430020302481. The reversal of 331430020302432 is 234203020034133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3314300203024322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331430020302432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14047182 + ... + 29328882.

It is an arithmetic number, because the mean of its divisors is an integer number (9107588757960).

Almost surely, 2331430020302432 is an apocalyptic number.

331430020302432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331430020302432 is an abundant number, since it is smaller than the sum of its proper divisors (542898500461728).

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

331430020302432 is a wasteful number, since it uses less digits than its factorization.

331430020302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15282836 (or 15282828 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 331430020302432 its reverse (234203020034133), we get a palindrome (565633040336565).

The spelling of 331430020302432 in words is "three hundred thirty-one trillion, four hundred thirty billion, twenty million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 859 1052 1578 1718 2104 2577 3156 3436 4208 5154 6312 6872 8416 10308 12624 13744 20616 25248 27488 41232 82464 225917 451834 677751 903668 1355502 1807336 2711004 3614672 5422008 7229344 10844016 15281701 21688032 30563402 45845103 61126804 91690206 122253608 183380412 244507216 366760824 489014432 733521648 1467043296 4019087363 8038174726 12057262089 13126981159 16076349452 24114524178 26253962318 32152698904 39380943477 48229048356 52507924636 64305397808 78761886954 96458096712 105015849272 128610795616 157523773908 192916193424 210031698544 315047547816 385832386848 420063397088 630095095632 1260190191264 3452396044817 6904792089634 10357188134451 13809584179268 20714376268902 27619168358536 41428752537804 55238336717072 82857505075608 110476673434144 165715010151216 331430020302432