Search a number
-
+
23301003323232 = 2532541331494583
BaseRepresentation
bin1010100110001001100000…
…00001101010011101100000
310001111112221222120220120200
411103010300001222131200
511023230423322320412
6121320155543305200
74623304404223065
oct523046001523540
9101445858526520
1023301003323232
117473999a13668
122743a82a4b200
13100037677420b
145a7abb62ac6c
152a61a4dc49dc
hex15313006a760

23301003323232 has 72 divisors (see below), whose sum is σ = 66263496599664. Its totient is φ = 7766852431104.

The previous prime is 23301003323203. The next prime is 23301003323237. The reversal of 23301003323232 is 23232330010332.

23301003323232 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 1 + 0 + 0 + 332 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 23301003323196 and 23301003323205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301003323237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14843013 + ... + 16337595.

It is an arithmetic number, because the mean of its divisors is an integer number (920326341662).

Almost surely, 223301003323232 is an apocalyptic number.

It is an amenable number.

23301003323232 is an abundant number, since it is smaller than the sum of its proper divisors (42962493276432).

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

23301003323232 is a wasteful number, since it uses less digits than its factorization.

23301003323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548732 (or 1548721 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23301003323232 its reverse (23232330010332), we get a palindrome (46533333333564).

The spelling of 23301003323232 in words is "twenty-three trillion, three hundred one billion, three million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 54133 108266 162399 216532 324798 433064 487197 649596 866128 974394 1299192 1494583 1732256 1948788 2598384 2989166 3897576 4483749 5196768 5978332 7795152 8967498 11956664 13451247 15590304 17934996 23913328 26902494 35869992 47826656 53804988 71739984 107609976 143479968 215219952 430439904 80906261539 161812523078 242718784617 323625046156 485437569234 647250092312 728156353851 970875138468 1294500184624 1456312707702 1941750276936 2589000369248 2912625415404 3883500553872 5825250830808 7767001107744 11650501661616 23301003323232