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23330120304 = 2433731142239
BaseRepresentation
bin10101101110100101…
…010110001001110000
32020012220201220111210
4111232211112021300
5340240002322204
614415005240120
71454066515311
oct255645261160
966186656453
1023330120304
119992276767
124631263040
13227a5a491a
1411b46a2608
159182bd389
hex56e956270

23330120304 has 80 divisors (see below), whose sum is σ = 62098882560. Its totient is φ = 7542017280.

The previous prime is 23330120279. The next prime is 23330120327. The reversal of 23330120304 is 40302103332.

It is a super-2 number, since 2×233301203042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 531217 + ... + 573455.

It is an arithmetic number, because the mean of its divisors is an integer number (776236032).

Almost surely, 223330120304 is an apocalyptic number.

23330120304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23330120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31049441280).

23330120304 is an abundant number, since it is smaller than the sum of its proper divisors (38768762256).

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

23330120304 is a wasteful number, since it uses less digits than its factorization.

23330120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42598 (or 42592 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23330120304 its reverse (40302103332), we get a palindrome (63632223636).

The spelling of 23330120304 in words is "twenty-three billion, three hundred thirty million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 311 444 592 622 888 933 1244 1776 1866 2488 3732 4976 7464 11507 14928 23014 34521 42239 46028 69042 84478 92056 126717 138084 168956 184112 253434 276168 337912 506868 552336 675824 1013736 1562843 2027472 3125686 4688529 6251372 9377058 12502744 13136329 18754116 25005488 26272658 37508232 39408987 52545316 75016464 78817974 105090632 157635948 210181264 315271896 486044173 630543792 972088346 1458132519 1944176692 2916265038 3888353384 5832530076 7776706768 11665060152 23330120304