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23105053560 = 23351072337723
BaseRepresentation
bin10101100001001010…
…110010001101111000
32012122020020022222110
4111201022302031320
5334304343203220
614340405252320
71445364500121
oct254112621570
965566208873
1023105053560
119887222796
124589a040a0
132242a81c34
141192837048
15903661be0
hex5612b2378

23105053560 has 128 divisors (see below), whose sum is σ = 70272334080. Its totient is φ = 6076781568.

The previous prime is 23105053529. The next prime is 23105053589. The reversal of 23105053560 is 6535050132.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2987859 + ... + 2995581.

It is an arithmetic number, because the mean of its divisors is an integer number (549002610).

Almost surely, 223105053560 is an apocalyptic number.

23105053560 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 23105053560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35136167040).

23105053560 is an abundant number, since it is smaller than the sum of its proper divisors (47167280520).

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

23105053560 is a wasteful number, since it uses less digits than its factorization.

23105053560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 23105053560 in words is "twenty-three billion, one hundred five million, fifty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 233 321 428 466 535 642 699 856 932 1070 1165 1284 1398 1605 1864 2140 2330 2568 2796 3210 3495 4280 4660 5592 6420 6990 7723 9320 12840 13980 15446 23169 24931 27960 30892 38615 46338 49862 61784 74793 77230 92676 99724 115845 124655 149586 154460 185352 199448 231690 249310 299172 308920 373965 463380 498620 598344 747930 826361 926760 997240 1495860 1652722 1799459 2479083 2991720 3305444 3598918 4131805 4958166 5398377 6610888 7197836 8263610 8997295 9916332 10796754 12395415 14395672 16527220 17994590 19832664 21593508 24790830 26991885 33054440 35989180 43187016 49581660 53983770 71978360 99163320 107967540 192542113 215935080 385084226 577626339 770168452 962710565 1155252678 1540336904 1925421130 2310505356 2888131695 3850842260 4621010712 5776263390 7701684520 11552526780 23105053560