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23133013112 = 23114159271401
BaseRepresentation
bin10101100010110101…
…011100010001111000
32012201011211211021102
4111202311130101320
5334334022404422
614343244430532
71446154236626
oct254265342170
965634754242
1023133013112
1198a0a8a160
124597248448
1322487c1251
141196434516
15905d36192
hex562d5c478

23133013112 has 128 divisors (see below), whose sum is σ = 49598438400. Its totient is φ = 10022400000.

The previous prime is 23133013051. The next prime is 23133013139. The reversal of 23133013112 is 21131033132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57688112 + ... + 57688512.

It is an arithmetic number, because the mean of its divisors is an integer number (387487800).

Almost surely, 223133013112 is an apocalyptic number.

23133013112 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 23133013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799219200).

23133013112 is an abundant number, since it is smaller than the sum of its proper divisors (26465425288).

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

23133013112 is a wasteful number, since it uses less digits than its factorization.

23133013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 23133013112 its reverse (21131033132), we get a palindrome (44264046244).

It can be divided in two parts, 231330 and 13112, that added together give a palindrome (244442).

The spelling of 23133013112 in words is "twenty-three billion, one hundred thirty-three million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 59 82 88 118 164 236 271 328 401 451 472 542 649 802 902 1084 1298 1604 1804 2168 2419 2596 2981 3208 3608 4411 4838 5192 5962 8822 9676 11111 11924 15989 16441 17644 19352 22222 23659 23848 26609 31978 32882 35288 44444 47318 53218 63956 65764 88888 94636 106436 108671 122221 127912 131528 175879 180851 189272 212872 217342 244442 260249 351758 361702 434684 488884 520498 655549 703516 723404 869368 970019 977768 1040996 1195381 1311098 1407032 1446808 1940038 2081992 2390762 2622196 3880076 4455511 4781524 5244392 6411589 7211039 7760152 8911022 9563048 10670209 12823178 14422078 17822044 21340418 25646356 28844156 35644088 42680836 49010621 51292712 57688312 70527479 85361672 98021242 141054958 196042484 262875149 282109916 392084968 525750298 564219832 1051500596 2103001192 2891626639 5783253278 11566506556 23133013112