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10233323121 = 372434916007
BaseRepresentation
bin10011000011111010…
…00001111001110001
3222102011210200021110
421201331001321301
5131424212314441
64411235343533
7511406545200
oct114175017161
928364720243
1010233323121
11438149813a
121b97151ba9
13c711411a8
146d113b237
153ed5eab16
hex261f41e71

10233323121 has 24 divisors (see below), whose sum is σ = 15876734400. Its totient is φ = 5845903392.

The previous prime is 10233323101. The next prime is 10233323143. The reversal of 10233323121 is 12132333201.

10233323121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10233323121 - 26 = 10233323057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10233323101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 631300 + ... + 647306.

It is an arithmetic number, because the mean of its divisors is an integer number (661530600).

Almost surely, 210233323121 is an apocalyptic number.

It is an amenable number.

10233323121 is a deficient number, since it is larger than the sum of its proper divisors (5643411279).

10233323121 is a wasteful number, since it uses less digits than its factorization.

10233323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10233323121 its reverse (12132333201), we get a palindrome (22365656322).

The spelling of 10233323121 in words is "ten billion, two hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 49 147 4349 13047 16007 30443 48021 91329 112049 213101 336147 639303 784343 2353029 69614443 208843329 487301101 1461903303 3411107707 10233323121