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23133211332 = 223711143317471
BaseRepresentation
bin10101100010110110…
…001100101011000100
32012201012012220011220
4111202312030223010
5334334100230312
614343253000340
71446156023550
oct254266145304
965635186156
1023133211332
1198a1105080
1245973230b0
13224886053a
141196486860
15905d74c8c
hex562d8cac4

23133211332 has 96 divisors (see below), whose sum is σ = 67347431424. Its totient is φ = 6004089600.

The previous prime is 23133211301. The next prime is 23133211357. The reversal of 23133211332 is 23311233132.

It is a nude number because it is divisible by every one of its digits.

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, 1315357 + ... + 1332827.

It is an arithmetic number, because the mean of its divisors is an integer number (701535744).

Almost surely, 223133211332 is an apocalyptic number.

23133211332 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 23133211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33673715712).

23133211332 is an abundant number, since it is smaller than the sum of its proper divisors (44214220092).

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

23133211332 is a wasteful number, since it uses less digits than its factorization.

23133211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929 (or 18927 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 23133211332 its reverse (23311233132), we get a palindrome (46444444464).

The spelling of 23133211332 in words is "twenty-three billion, one hundred thirty-three million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1433 2866 4299 5732 8598 10031 15763 17196 17471 20062 30093 31526 34942 40124 47289 52413 60186 63052 69884 94578 104826 110341 120372 122297 189156 192181 209652 220682 244594 331023 366891 384362 441364 489188 576543 662046 733782 768724 1153086 1324092 1345267 1467564 2306172 2690534 4035801 5381068 8071602 16143204 25035943 50071886 75107829 100143772 150215658 175251601 275395373 300431316 350503202 525754803 550790746 701006404 826186119 1051509606 1101581492 1652372238 1927767611 2103019212 3304744476 3855535222 5783302833 7711070444 11566605666 23133211332