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23233000120 = 235111923120829
BaseRepresentation
bin10101101000110010…
…110111001010111000
32012222010222200122221
4111220302313022320
5340040122000440
614401215453424
71451510146141
oct255062671270
965863880587
1023233000120
119942471950
124604827274
13226342bb65
1411a5820ac8
1590e9d6d4a
hex568cb72b8

23233000120 has 128 divisors (see below), whose sum is σ = 62638272000. Its totient is φ = 7655662080.

The previous prime is 23233000103. The next prime is 23233000211. The reversal of 23233000120 is 2100033232.

It is a junction number, because it is equal to n+sod(n) for n = 23233000094 and 23233000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131866 + ... + 252694.

It is an arithmetic number, because the mean of its divisors is an integer number (489361500).

Almost surely, 223233000120 is an apocalyptic number.

23233000120 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 23233000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31319136000).

23233000120 is an abundant number, since it is smaller than the sum of its proper divisors (39405271880).

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

23233000120 is a wasteful number, since it uses less digits than its factorization.

23233000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120893 (or 120889 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23233000120 its reverse (2100033232), we get a palindrome (25333033352).

The spelling of 23233000120 in words is "twenty-three billion, two hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 23 38 40 44 46 55 76 88 92 95 110 115 152 184 190 209 220 230 253 380 418 437 440 460 506 760 836 874 920 1012 1045 1265 1672 1748 2024 2090 2185 2530 3496 4180 4370 4807 5060 8360 8740 9614 10120 17480 19228 24035 38456 48070 96140 120829 192280 241658 483316 604145 966632 1208290 1329119 2295751 2416580 2658238 2779067 4591502 4833160 5316476 5558134 6645595 9183004 10632952 11116268 11478755 13291190 13895335 18366008 22232536 22957510 25253261 26582380 27790670 30569737 45915020 50506522 52802273 53164760 55581340 61139474 91830040 101013044 105604546 111162680 122278948 126266305 152848685 202026088 211209092 244557896 252532610 264011365 305697370 422418184 505065220 528022730 580825003 611394740 1010130440 1056045460 1161650006 1222789480 2112090920 2323300012 2904125015 4646600024 5808250030 11616500060 23233000120