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23301013020 = 22356113074871
BaseRepresentation
bin10101101100110110…
…010011111000011100
32020010212222002211020
4111230312103320130
5340210024404040
614412045324140
71453264225365
oct255466237034
966125862736
1023301013020
1199778a5a5a
124623566650
13227455308c
1411b0886b6c
1591596dcd0
hex56cd93e1c

23301013020 has 96 divisors (see below), whose sum is σ = 66376751616. Its totient is φ = 6105811200.

The previous prime is 23301013009. The next prime is 23301013027. The reversal of 23301013020 is 2031010332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301013027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4781185 + ... + 4786055.

It is an arithmetic number, because the mean of its divisors is an integer number (691424496).

Almost surely, 223301013020 is an apocalyptic number.

23301013020 is a gapful number since it is divisible by the number (20) 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 23301013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33188375808).

23301013020 is an abundant number, since it is smaller than the sum of its proper divisors (43075738596).

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

23301013020 is a wasteful number, since it uses less digits than its factorization.

23301013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23301013020 its reverse (2031010332), we get a palindrome (25332023352).

The spelling of 23301013020 in words is "twenty-three billion, three hundred one million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1307 1830 2614 3660 3921 4871 5228 6535 7842 9742 13070 14613 15684 19484 19605 24355 26140 29226 39210 48710 58452 73065 78420 79727 97420 146130 159454 239181 292260 297131 318908 398635 478362 594262 797270 891393 956724 1188524 1195905 1485655 1594540 1782786 2391810 2971310 3565572 4456965 4783620 5942620 6366397 8913930 12732794 17827860 19099191 25465588 31831985 38198382 63663970 76396764 95495955 127327940 190991910 381983820 388350217 776700434 1165050651 1553400868 1941751085 2330101302 3883502170 4660202604 5825253255 7767004340 11650506510 23301013020