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10312302132 = 2234117183491
BaseRepresentation
bin10011001101010100…
…10011111000110100
3222121200102020010000
421212222103320310
5132104422132012
64423140231300
7513356056536
oct114652237064
928550366100
1010312302132
114412031250
121bb969b530
13c84604932
146db819856
154054ebddc
hex266a93e34

10312302132 has 240 divisors, whose sum is σ = 30244161024. Its totient is φ = 3037608000.

The previous prime is 10312302131. The next prime is 10312302139. The reversal of 10312302132 is 23120321301.

10312302132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312302131) 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 79 ways as a sum of consecutive naturals, for example, 21002407 + ... + 21002897.

Almost surely, 210312302132 is an apocalyptic number.

10312302132 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 10312302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15122080512).

10312302132 is an abundant number, since it is smaller than the sum of its proper divisors (19931858892).

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

10312302132 is a wasteful number, since it uses less digits than its factorization.

10312302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10312302132 its reverse (23120321301), we get a palindrome (33432623433).

The spelling of 10312302132 in words is "ten billion, three hundred twelve million, three hundred two thousand, one hundred thirty-two".