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234331324303401 = 33132938112809537
BaseRepresentation
bin110101010001111110000011…
…010110000100100000101001
31010201200212002220011000212000
4311101332003112010200221
5221203241023010202101
62150214154012241213
7100233610444103313
oct6521760326044051
91121625086130760
10234331324303401
11687353a1623016
1222346b92470209
13a09a46cb84610
1441c19a77067b3
151c157674ec486
hexd51f83584829

234331324303401 has 64 divisors (see below), whose sum is σ = 375600617091840. Its totient is φ = 143534474219520.

The previous prime is 234331324303387. The next prime is 234331324303421. The reversal of 234331324303401 is 104303423133432.

234331324303401 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 3 + 1 + 3 + 243 + 0 + 3 + 401 = 666.

It is not a de Polignac number, because 234331324303401 - 27 = 234331324303273 is a prime.

It is a super-2 number, since 2×2343313243034012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234331324303421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82000905 + ... + 84810441.

It is an arithmetic number, because the mean of its divisors is an integer number (5868759642060).

Almost surely, 2234331324303401 is an apocalyptic number.

It is an amenable number.

234331324303401 is a deficient number, since it is larger than the sum of its proper divisors (141269292788439).

234331324303401 is a wasteful number, since it uses less digits than its factorization.

234331324303401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810663 (or 2810657 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 234331324303401 its reverse (104303423133432), we get a palindrome (338634747436833).

The spelling of 234331324303401 in words is "two hundred thirty-four trillion, three hundred thirty-one billion, three hundred twenty-four million, three hundred three thousand, four hundred one".

Divisors: 1 3 9 13 27 39 117 293 351 811 879 2433 2637 3809 7299 7911 10543 11427 21897 31629 34281 94887 102843 237623 284661 712869 2138607 2809537 3089099 6415821 8428611 9267297 25285833 27801891 36523981 75857499 83405673 109571943 328715829 823194341 986147487 2278534507 2469583023 6835603521 7408749069 10701526433 20506810563 22226247207 29620948591 32104579299 61520431689 88862845773 96313737897 266588537319 288941213691 667610610551 799765611957 2002831831653 6008495494959 8678937937163 18025486484877 26036813811489 78110441434467 234331324303401