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123132312003132 = 22332207351651973
BaseRepresentation
bin11011111111110011111001…
…101101111010001000111100
3121010222100000112102111002000
4123333303321231322020330
5112114344433333100012
61113514111521502300
734636005323001435
oct3377637155721074
9533870015374060
10123132312003132
1136263136089203
1211987a4a1a1990
135392433b19a93
1422598c850648c
15e37e49ba0ddc
hex6ffcf9b7a23c

123132312003132 has 48 divisors (see below), whose sum is σ = 319246388741280. Its totient is φ = 41042243735424.

The previous prime is 123132312003079. The next prime is 123132312003161. The reversal of 123132312003132 is 231300213231321.

123132312003132 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 32 + 312 + 0 + 0 + 313 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123132312003096 and 123132312003105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23442103 + ... + 28209870.

It is an arithmetic number, because the mean of its divisors is an integer number (6650966432110).

Almost surely, 2123132312003132 is an apocalyptic number.

123132312003132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123132312003132 is an abundant number, since it is smaller than the sum of its proper divisors (196114076738148).

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

123132312003132 is a wasteful number, since it uses less digits than its factorization.

123132312003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51674059 (or 51674051 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123132312003132 its reverse (231300213231321), we get a palindrome (354432525234453).

The spelling of 123132312003132 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, three hundred twelve million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 22073 44146 66219 88292 132438 198657 264876 397314 595971 794628 1191942 2383884 51651973 103303946 154955919 206607892 309911838 464867757 619823676 929735514 1394603271 1859471028 2789206542 5578413084 1140114000029 2280228000058 3420342000087 4560456000116 6840684000174 10261026000261 13681368000348 20522052000522 30783078000783 41044104001044 61566156001566 123132312003132