Search a number
-
+
123232302332232 = 233371220311372213
BaseRepresentation
bin11100000001010001000001…
…100110101111100101001000
3121011022220010000212111100020
4130001101001212233211020
5112123014223344112412
61114032045501340440
734646145221531052
oct3401210146574510
9534286100774306
10123232302332232
11362a1587009425
12119a32b4867720
13539b9aa6216a2
14226069216a8d2
15e3a84d12a18c
hex7014419af948

123232302332232 has 64 divisors (see below), whose sum is σ = 316433219215680. Its totient is φ = 39963954477312.

The previous prime is 123232302332203. The next prime is 123232302332261. The reversal of 123232302332232 is 232233203232321.

It is an interprime number because it is at equal distance from previous prime (123232302332203) and next prime (123232302332261).

It is a super-2 number, since 2×1232323023322322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123232302332193 and 123232302332202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5150158 + ... + 16522370.

It is an arithmetic number, because the mean of its divisors is an integer number (4944269050245).

Almost surely, 2123232302332232 is an apocalyptic number.

123232302332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123232302332232 is an abundant number, since it is smaller than the sum of its proper divisors (193200916883448).

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

123232302332232 is a wasteful number, since it uses less digits than its factorization.

123232302332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384462 (or 11384458 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 123232302332232 its reverse (232233203232321), we get a palindrome (355465505564553).

The spelling of 123232302332232 in words is "one hundred twenty-three trillion, two hundred thirty-two billion, three hundred two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 12203 24406 36609 48812 73218 97624 146436 292872 451511 903022 1354533 1806044 2709066 3612088 5418132 10836264 11372213 22744426 34116639 45488852 68233278 90977704 136466556 272933112 420771881 841543762 1262315643 1683087524 2524631286 3366175048 5049262572 10098525144 138775115239 277550230478 416325345717 555100460956 832650691434 1110200921912 1665301382868 3330602765736 5134679263843 10269358527686 15404037791529 20538717055372 30808075583058 41077434110744 61616151166116 123232302332232