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23110311120 = 24351329255419
BaseRepresentation
bin10101100001011110…
…110101110011010000
32012122121010102222220
4111201132311303100
5334312214423440
614341114101040
71445460255231
oct254136656320
965577112886
1023110311120
11988a193886
12458b71a780
132243ba3010
141193405088
15903d4e8d0
hex5617b5cd0

23110311120 has 160 divisors (see below), whose sum is σ = 79813641600. Its totient is φ = 5492508672.

The previous prime is 23110311083. The next prime is 23110311131. The reversal of 23110311120 is 2111301132.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23110311120.

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, 37230 + ... + 218189.

It is an arithmetic number, because the mean of its divisors is an integer number (498835260).

Almost surely, 223110311120 is an apocalyptic number.

23110311120 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 23110311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39906820800).

23110311120 is an abundant number, since it is smaller than the sum of its proper divisors (56703330480).

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

23110311120 is a wasteful number, since it uses less digits than its factorization.

23110311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255477 (or 255471 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 23110311120 its reverse (2111301132), we get a palindrome (25221612252).

The spelling of 23110311120 in words is "twenty-three billion, one hundred ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 11310 15080 18096 22620 30160 45240 90480 255419 510838 766257 1021676 1277095 1532514 2043352 2554190 3065028 3320447 3831285 4086704 5108380 6130056 6640894 7407151 7662570 9961341 10216760 12260112 13281788 14814302 15325140 16602235 19922682 20433520 22221453 26563576 29628604 30650280 33204470 37035755 39845364 44442906 49806705 53127152 59257208 61300560 66408940 74071510 79690728 88885812 96292963 99613410 111107265 118514416 132817880 148143020 159381456 177771624 192585926 199226820 222214530 265635760 288878889 296286040 355543248 385171852 398453640 444429060 481464815 577757778 592572080 770343704 796907280 888858120 962929630 1155515556 1444394445 1540687408 1777716240 1925859260 2311031112 2888788890 3851718520 4622062224 5777577780 7703437040 11555155560 23110311120