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23031120320 = 2651353104459
BaseRepresentation
bin10101011100110000…
…110000000111000000
32012110002010010122022
4111130300300013000
5334131431322240
614325204501012
71443506202245
oct253460600700
965402103568
1023031120320
11984951563a
1245690aa768
132230667060
141186aad5cc
158ebe0a9b5
hex55cc301c0

23031120320 has 112 divisors (see below), whose sum is σ = 60176481120. Its totient is φ = 8343269376.

The previous prime is 23031120283. The next prime is 23031120331. The reversal of 23031120320 is 2302113032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168251 + ... + 272709.

It is an arithmetic number, because the mean of its divisors is an integer number (537290010).

Almost surely, 223031120320 is an apocalyptic number.

23031120320 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 23031120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30088240560).

23031120320 is an abundant number, since it is smaller than the sum of its proper divisors (37145360800).

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

23031120320 is a wasteful number, since it uses less digits than its factorization.

23031120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104542 (or 104532 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23031120320 its reverse (2302113032), we get a palindrome (25333233352).

The spelling of 23031120320 in words is "twenty-three billion, thirty-one million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 130 160 208 212 260 265 320 416 424 520 530 689 832 848 1040 1060 1378 1696 2080 2120 2756 3392 3445 4160 4240 5512 6890 8480 11024 13780 16960 22048 27560 44096 55120 104459 110240 208918 220480 417836 522295 835672 1044590 1357967 1671344 2089180 2715934 3342688 4178360 5431868 5536327 6685376 6789835 8356720 10863736 11072654 13579670 16713440 21727472 22145308 27159340 27681635 33426880 43454944 44290616 54318680 55363270 71972251 86909888 88581232 108637360 110726540 143944502 177162464 217274720 221453080 287889004 354324928 359861255 434549440 442906160 575778008 719722510 885812320 1151556016 1439445020 1771624640 2303112032 2878890040 4606224064 5757780080 11515560160 23031120320