Search a number
-
+
232101100331001 = 32118970693726439
BaseRepresentation
bin110100110001100000111111…
…101000110001111111111001
31010102210122111202021121122100
4310301200333220301333321
5220410221023141043001
62141345435024414013
766613515431112516
oct6461407750617771
91112718452247570
10232101100331001
1167a55584301250
12220468b8a77309
139c6806970a455
144145a78aa830d
151bc773797e586
hexd3183fa31ff9

232101100331001 has 48 divisors (see below), whose sum is σ = 369896868432000. Its totient is φ = 139067088779520.

The previous prime is 232101100330987. The next prime is 232101100331011. The reversal of 232101100331001 is 100133001101232.

232101100331001 is a `hidden beast` number, since 2 + 321 + 0 + 1 + 10 + 0 + 331 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 232101100331001 - 211 = 232101100328953 is a prime.

It is a super-5 number, since 5×2321011003310015 (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (232101100331011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60421740 + ... + 64148178.

It is an arithmetic number, because the mean of its divisors is an integer number (7706184759000).

Almost surely, 2232101100331001 is an apocalyptic number.

It is an amenable number.

232101100331001 is a deficient number, since it is larger than the sum of its proper divisors (137795768100999).

232101100331001 is a wasteful number, since it uses less digits than its factorization.

232101100331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733614 (or 3733611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 232101100331001 its reverse (100133001101232), we get a palindrome (332234101432233).

The spelling of 232101100331001 in words is "two hundred thirty-two trillion, one hundred one billion, one hundred million, three hundred thirty-one thousand, one".

Divisors: 1 3 9 11 33 89 99 267 801 979 2937 7069 8811 21207 63621 77759 233277 629141 699831 1887423 3726439 5662269 6920551 11179317 20761653 33537951 40990829 62284959 122972487 331653071 368917461 994959213 2984877639 3648183781 10944551343 26342197291 32833654029 79026591873 237079775619 289764170201 869292510603 2344455558899 2607877531809 7033366676697 21100100030091 25789011147889 77367033443667 232101100331001