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23322322320012 = 2233376287928331
BaseRepresentation
bin1010100110110001001101…
…01111001011101010001100
310001120120222202001011021000
411103120212233023222030
511024103104003220022
6121334043231340300
74624660613550462
oct523304657135214
9101516882034230
1023322322320012
117481a39a35471
122748032681690
1310023934a8701
145a8b40b7a832
152a6a018346ac
hex153626bcba8c

23322322320012 has 96 divisors (see below), whose sum is σ = 62109421194240. Its totient is φ = 7562785164480.

The previous prime is 23322322319993. The next prime is 23322322320019. The reversal of 23322322320012 is 21002322322332.

23322322320012 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 2 + 322 + 320 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23322322320019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24658687 + ... + 25587017.

It is an arithmetic number, because the mean of its divisors is an integer number (646973137440).

Almost surely, 223322322320012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322322320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31054710597120).

23322322320012 is an abundant number, since it is smaller than the sum of its proper divisors (38787098874228).

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

23322322320012 is a wasteful number, since it uses less digits than its factorization.

23322322320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934668 (or 934660 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23322322320012 its reverse (21002322322332), we get a palindrome (44324644642344).

The spelling of 23322322320012 in words is "twenty-three trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 6287 12574 18861 25148 37722 56583 75444 113166 169749 226332 232619 339498 465238 678996 697857 928331 930476 1395714 1856662 2093571 2784993 2791428 3713324 4187142 5569986 6280713 8354979 8374284 11139972 12561426 16709958 25064937 25122852 33419916 34348247 50129874 68696494 100259748 103044741 137392988 206089482 309134223 412178964 618268446 927402669 1236536892 1854805338 3709610676 5836416997 11672833994 17509250991 23345667988 35018501982 52527752973 70037003964 105055505946 157583258919 210111011892 215947428889 315166517838 431894857778 630333035676 647842286667 863789715556 1295684573334 1943526860001 2591369146668 3887053720002 5830580580003 7774107440004 11661161160006 23322322320012