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10312020100 = 225219232979103
BaseRepresentation
bin10011001101010010…
…01111000010000100
3222121122212220020101
421212221033002010
5132104334120400
64423130213444
7513353503354
oct114651170204
928548786211
1010312020100
114411959368
121bb9584284
13c84536455
146db784b64
1540549356a
hex266a4f084

10312020100 has 288 divisors, whose sum is σ = 25998336000. Its totient is φ = 3528645120.

The previous prime is 10312020097. The next prime is 10312020113. The reversal of 10312020100 is 102021301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100116649 + ... + 100116751.

It is an arithmetic number, because the mean of its divisors is an integer number (90272000).

Almost surely, 210312020100 is an apocalyptic number.

10312020100 is a gapful number since it is divisible by the number (10) 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 10312020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168000).

10312020100 is an abundant number, since it is smaller than the sum of its proper divisors (15686315900).

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

10312020100 is a wasteful number, since it uses less digits than its factorization.

10312020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10312020100 its reverse (102021301), we get a palindrome (10414041401).

The spelling of 10312020100 in words is "ten billion, three hundred twelve million, twenty thousand, one hundred".