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23130133312 = 2611134753773
BaseRepresentation
bin10101100010101010…
…011101001101000000
32012200222102111221011
4111202222131031000
5334332303231222
614343103010304
71446120613666
oct254252351500
965628374834
1023130133312
11989a3a2560
124596299994
132248023520
141195cc4c36
15905967c77
hex562a9d340

23130133312 has 112 divisors (see below), whose sum is σ = 55071459072. Its totient is φ = 9498286080.

The previous prime is 23130133289. The next prime is 23130133339. The reversal of 23130133312 is 21333103132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403258 + ... + 457030.

It is an arithmetic number, because the mean of its divisors is an integer number (491709456).

Almost surely, 223130133312 is an apocalyptic number.

23130133312 is a gapful number since it is divisible by the number (22) 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 23130133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27535729536).

23130133312 is an abundant number, since it is smaller than the sum of its proper divisors (31941325760).

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

23130133312 is a wasteful number, since it uses less digits than its factorization.

23130133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53856 (or 53846 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 23130133312 its reverse (21333103132), we get a palindrome (44463236444).

The spelling of 23130133312 in words is "twenty-three billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 143 176 188 208 286 352 376 416 517 572 611 704 752 832 1034 1144 1222 1504 2068 2288 2444 3008 4136 4576 4888 6721 8272 9152 9776 13442 16544 19552 26884 33088 39104 53768 53773 107536 107546 215072 215092 430144 430184 591503 699049 860368 1183006 1398098 1720736 2366012 2527331 2796196 3441472 4732024 5054662 5592392 7689539 9464048 10109324 11184784 15379078 18928096 20218648 22369568 27800641 30758156 32855303 37856192 40437296 44739136 55601282 61516312 65710606 80874592 111202564 123032624 131421212 161749184 222405128 246065248 262842424 361408333 444810256 492130496 525684848 722816666 889620512 1051369696 1445633332 1779241024 2102739392 2891266664 5782533328 11565066656 23130133312