Search a number
-
+
23081117312 = 2711195711511
BaseRepresentation
bin10101011111101111…
…011110011010000000
32012120120012020121202
4111133233132122000
5334232231223222
614334152240332
71444654155131
oct253757363200
965516166552
1023081117312
119874764070
1245819a00a8
13223ab20c86
14118d5a5c88
159014d4892
hex55fbde680

23081117312 has 128 divisors (see below), whose sum is σ = 52929676800. Its totient is φ = 9915264000.

The previous prime is 23081117309. The next prime is 23081117329. The reversal of 23081117312 is 21371118032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230811173122 (a number of 22 digits) contains 22 as substring.

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, 15274637 + ... + 15276147.

It is an arithmetic number, because the mean of its divisors is an integer number (413513100).

Almost surely, 223081117312 is an apocalyptic number.

23081117312 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 23081117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464838400).

23081117312 is an abundant number, since it is smaller than the sum of its proper divisors (29848559488).

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

23081117312 is a wasteful number, since it uses less digits than its factorization.

23081117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 23081117312 in words is "twenty-three billion, eighty-one million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 571 608 704 836 1142 1216 1408 1511 1672 2284 2432 3022 3344 4568 6044 6281 6688 9136 10849 12088 12562 13376 16621 18272 21698 24176 25124 26752 28709 33242 36544 43396 48352 50248 57418 66484 73088 86792 96704 100496 114836 119339 132968 173584 193408 200992 229672 238678 265936 315799 347168 401984 459344 477356 531872 631598 694336 803968 862781 918688 954712 1063744 1263196 1388672 1725562 1837376 1909424 2127488 2526392 3451124 3674752 3818848 5052784 6902248 7637696 9490591 10105568 13804496 15275392 16392839 18981182 20211136 27608992 32785678 37962364 40422272 55217984 65571356 75924728 110435968 131142712 151849456 180321229 262285424 303698912 360642458 524570848 607397824 721284916 1049141696 1214795648 1442569832 2098283392 2885139664 5770279328 11540558656 23081117312