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11312302560 = 2535131812869
BaseRepresentation
bin10101000100100010…
…00000100111100000
31002012101002111210220
422202101000213200
5141131422140220
65110301523040
7550220661636
oct124221004740
932171074726
1011312302560
114885555389
122238573480
1310b3842070
14794567356
154631cd540
hex2a24409e0

11312302560 has 96 divisors (see below), whose sum is σ = 38374832160. Its totient is φ = 2784565248.

The previous prime is 11312302553. The next prime is 11312302607. The reversal of 11312302560 is 6520321311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11312302560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900195 + ... + 912674.

It is an arithmetic number, because the mean of its divisors is an integer number (399737835).

Almost surely, 211312302560 is an apocalyptic number.

11312302560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312302560 is an abundant number, since it is smaller than the sum of its proper divisors (27062529600).

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

11312302560 is a wasteful number, since it uses less digits than its factorization.

11312302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812900 (or 1812892 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11312302560 its reverse (6520321311), we get a palindrome (17832623871).

The spelling of 11312302560 in words is "eleven billion, three hundred twelve million, three hundred two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 1812869 3625738 5438607 7251476 9064345 10877214 14502952 18128690 21754428 23567297 27193035 29005904 36257380 43508856 47134594 54386070 58011808 70701891 72514760 87017712 94269188 108772140 117836485 141403782 145029520 174035424 188538376 217544280 235672970 282807564 290059040 353509455 377076752 435088560 471345940 565615128 707018910 754153504 870177120 942691880 1131230256 1414037820 1885383760 2262460512 2828075640 3770767520 5656151280 11312302560