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123032210232 = 233291657106681
BaseRepresentation
bin111001010010101001…
…0101000101100111000
3102202120022210211222010
41302211102220230320
54003432221211412
6132304211125520
711613565350321
oct1624522505470
9382508724863
10123032210232
11481a5525598
121ba172a38a0
13b7a94688c9
145d51d35448
1533012ad33c
hex1ca54a8b38

123032210232 has 64 divisors (see below), whose sum is σ = 318381760800. Its totient is φ = 39572305920.

The previous prime is 123032210183. The next prime is 123032210269. The reversal of 123032210232 is 232012230321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123032210199 and 123032210208.

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, 1099932 + ... + 1206612.

Almost surely, 2123032210232 is an apocalyptic number.

123032210232 is a gapful number since it is divisible by the number (12) 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 123032210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159190880400).

123032210232 is an abundant number, since it is smaller than the sum of its proper divisors (195349550568).

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

123032210232 is a wasteful number, since it uses less digits than its factorization.

123032210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108376 (or 108372 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123032210232 its reverse (232012230321), we get a palindrome (355044440553).

The spelling of 123032210232 in words is "one hundred twenty-three billion, thirty-two million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1657 3314 4971 6628 9942 13256 19884 39768 48053 96106 106681 144159 192212 213362 288318 320043 384424 426724 576636 640086 853448 1153272 1280172 2560344 3093749 6187498 9281247 12374996 18562494 24749992 37124988 74249976 176770417 353540834 530311251 707081668 1060622502 1414163336 2121245004 4242490008 5126342093 10252684186 15379026279 20505368372 30758052558 41010736744 61516105116 123032210232