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23305505120 = 2556710321107
BaseRepresentation
bin10101101101000111…
…011100100101100000
32020011012102022211022
4111231013130211200
5340212202130440
614412325505012
71453350345032
oct255507344540
966135368738
1023305505120
11997a393a37
124624b72168
132275466921
1411b12d5c52
15916059cb5
hex56d1dc960

23305505120 has 96 divisors (see below), whose sum is σ = 56426243328. Its totient is φ = 9093477888.

The previous prime is 23305505107. The next prime is 23305505137. The reversal of 23305505120 is 2150550332.

It is a self number, because there is not a number n which added to its sum of digits gives 23305505120.

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, 1093607 + ... + 1114713.

It is an arithmetic number, because the mean of its divisors is an integer number (587773368).

Almost surely, 223305505120 is an apocalyptic number.

23305505120 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 23305505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213121664).

23305505120 is an abundant number, since it is smaller than the sum of its proper divisors (33120738208).

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

23305505120 is a wasteful number, since it uses less digits than its factorization.

23305505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292 (or 21284 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The spelling of 23305505120 in words is "twenty-three billion, three hundred five million, five hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 103 134 160 206 268 335 412 515 536 670 824 1030 1072 1340 1648 2060 2144 2680 3296 4120 5360 6901 8240 10720 13802 16480 21107 27604 34505 42214 55208 69010 84428 105535 110416 138020 168856 211070 220832 276040 337712 422140 552080 675424 844280 1104160 1414169 1688560 2174021 2828338 3377120 4348042 5656676 7070845 8696084 10870105 11313352 14141690 17392168 21740210 22626704 28283380 34784336 43480420 45253408 56566760 69568672 86960840 113133520 145659407 173921680 226267040 291318814 347843360 582637628 728297035 1165275256 1456594070 2330550512 2913188140 4661101024 5826376280 11652752560 23305505120