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23311322320 = 245111315712979
BaseRepresentation
bin10101101101011101…
…101000110011010000
32020011121100212112011
4111231131220303100
5340220144303240
614413054312304
71453450653556
oct255535506320
966147325464
1023311322320
1199826a7540
124626ab8694
132276722660
1411b1dabbd6
159168086ea
hex56d768cd0

23311322320 has 160 divisors (see below), whose sum is σ = 64084648320. Its totient is φ = 7774341120.

The previous prime is 23311322303. The next prime is 23311322339. The reversal of 23311322320 is 2322311332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23311322291 and 23311322300.

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, 1789591 + ... + 1802569.

It is an arithmetic number, because the mean of its divisors is an integer number (400529052).

Almost surely, 223311322320 is an apocalyptic number.

23311322320 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 23311322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32042324160).

23311322320 is an abundant number, since it is smaller than the sum of its proper divisors (40773326000).

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

23311322320 is a wasteful number, since it uses less digits than its factorization.

23311322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173 (or 13167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23311322320 its reverse (2322311332), we get a palindrome (25633633652).

The spelling of 23311322320 in words is "twenty-three billion, three hundred eleven million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 157 176 208 220 260 286 314 440 520 572 628 715 785 880 1040 1144 1256 1430 1570 1727 2041 2288 2512 2860 3140 3454 4082 5720 6280 6908 8164 8635 10205 11440 12560 12979 13816 16328 17270 20410 22451 25958 27632 32656 34540 40820 44902 51916 64895 69080 81640 89804 103832 112255 129790 138160 142769 163280 168727 179608 207664 224510 259580 285538 337454 359216 449020 519160 571076 674908 713845 843635 898040 1038320 1142152 1349816 1427690 1687270 1796080 1855997 2037703 2284304 2699632 2855380 3374540 3711994 4075406 5710760 6749080 7423988 8150812 9279985 10188515 11421520 13498160 14847976 16301624 18559970 20377030 22414733 26490139 29695952 32603248 37119940 40754060 44829466 52980278 74239880 81508120 89658932 105960556 112073665 132450695 148479760 163016240 179317864 211921112 224147330 264901390 291391529 358635728 423842224 448294660 529802780 582783058 896589320 1059605560 1165566116 1456957645 1793178640 2119211120 2331132232 2913915290 4662264464 5827830580 11655661160 23311322320