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23101212232032 = 25311208091051283
BaseRepresentation
bin1010100000010101010111…
…00011001000100101100000
310000210110021012101220002020
411100022223203020211200
511011442240312411112
6121044314515021440
74603002401036454
oct520125343104540
9100713235356066
1023101212232032
1173a719506a770
12271120529a880
13cb758680b31c
1459c1671aa664
152a0daee6948c
hex1502ab8c8960

23101212232032 has 96 divisors (see below), whose sum is σ = 66156713400960. Its totient is φ = 7000024273920.

The previous prime is 23101212232003. The next prime is 23101212232051. The reversal of 23101212232032 is 23023221210132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×231012122320323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23101212231993 and 23101212232011.

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 15 ways as a sum of consecutive naturals, for example, 21448663 + ... + 22499945.

It is an arithmetic number, because the mean of its divisors is an integer number (689132431260).

Almost surely, 223101212232032 is an apocalyptic number.

23101212232032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23101212232032 is an abundant number, since it is smaller than the sum of its proper divisors (43055501168928).

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

23101212232032 is a wasteful number, since it uses less digits than its factorization.

23101212232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072116 (or 1072108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23101212232032 its reverse (23023221210132), we get a palindrome (46124433442164).

The spelling of 23101212232032 in words is "twenty-three trillion, one hundred one billion, two hundred twelve million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20809 41618 62427 83236 124854 166472 228899 249708 332944 457798 499416 665888 686697 915596 998832 1051283 1373394 1831192 1997664 2102566 2746788 3153849 3662384 4205132 5493576 6307698 7324768 8410264 10987152 11564113 12615396 16820528 21974304 23128226 25230792 33641056 34692339 46256452 50461584 69384678 92512904 100923168 138769356 185025808 277538712 370051616 555077424 1110154848 21876147947 43752295894 65628443841 87504591788 131256887682 175009183576 240637627417 262513775364 350018367152 481275254834 525027550728 700036734304 721912882251 962550509668 1050055101456 1443825764502 1925101019336 2100110202912 2887651529004 3850202038672 5775303058008 7700404077344 11550606116016 23101212232032