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10213120500 = 22353113141487
BaseRepresentation
bin10011000001011111…
…11101100111110100
3222100202210021111020
421200233331213310
5131404024324000
64405234341140
7511043043342
oct114057754764
928322707436
1010213120500
114371049660
121b9042a7b0
13c69bb978b
146cc59c992
153eb959ba0
hex260bfd9f4

10213120500 has 384 divisors, whose sum is σ = 34378186752. Its totient is φ = 2332800000.

The previous prime is 10213120499. The next prime is 10213120571. The reversal of 10213120500 is 502131201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10213120500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20971257 + ... + 20971743.

It is an arithmetic number, because the mean of its divisors is an integer number (89526528).

Almost surely, 210213120500 is an apocalyptic number.

10213120500 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 10213120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189093376).

10213120500 is an abundant number, since it is smaller than the sum of its proper divisors (24165066252).

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

10213120500 is a wasteful number, since it uses less digits than its factorization.

10213120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10213120500 its reverse (502131201), we get a palindrome (10715251701).

The spelling of 10213120500 in words is "ten billion, two hundred thirteen million, one hundred twenty thousand, five hundred".