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10232233121 = 1173137281331
BaseRepresentation
bin10011000011110001…
…10111110010100001
3222102002202022002002
421201320313302201
5131423422424441
64411200133345
7511364355305
oct114170676241
928362668062
1010232233121
114380913210
121b96907255
13c70b4c016
146d0d35d05
153ed482b9b
hex261e37ca1

10232233121 has 32 divisors (see below), whose sum is σ = 11473059456. Its totient is φ = 9047808000.

The previous prime is 10232233103. The next prime is 10232233133. The reversal of 10232233121 is 12133223201.

10232233121 = 82992 + 83002 + ... + 84442.

10232233121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10232233121 - 26 = 10232233057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10232233093 and 10232233102.

It is not an unprimeable number, because it can be changed into a prime (10232233171) 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 31 ways as a sum of consecutive naturals, for example, 30912926 + ... + 30913256.

It is an arithmetic number, because the mean of its divisors is an integer number (358533108).

Almost surely, 210232233121 is an apocalyptic number.

10232233121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10232233121 is a deficient number, since it is larger than the sum of its proper divisors (1240826335).

10232233121 is a wasteful number, since it uses less digits than its factorization.

10232233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10232233121 its reverse (12133223201), we get a palindrome (22365456322).

It can be divided in two parts, 102 and 32233121, that added together give a palindrome (32233223).

The spelling of 10232233121 in words is "ten billion, two hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 11 73 137 281 331 803 1507 3091 3641 10001 20513 24163 38497 45347 93011 110011 225643 265793 423467 498817 1023121 2810281 3310331 6789803 12742507 30913091 36413641 74687833 140167577 930203011 10232233121