Search a number
-
+
10012021140 = 223511172273931
BaseRepresentation
bin10010101001100001…
…10101000110010100
3221211202101101000210
421110300311012110
5131001034134030
64333252205420
7503051530002
oct112460650624
927752341023
1010012021140
114278585740
121b35009870
13c37338c84
146ad9b1a72
153d8e84bb0
hex254c35194

10012021140 has 192 divisors, whose sum is σ = 32532046848. Its totient is φ = 2273740800.

The previous prime is 10012021133. The next prime is 10012021153. The reversal of 10012021140 is 4112021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2544975 + ... + 2548905.

It is an arithmetic number, because the mean of its divisors is an integer number (169437744).

Almost surely, 210012021140 is an apocalyptic number.

10012021140 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 10012021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266023424).

10012021140 is an abundant number, since it is smaller than the sum of its proper divisors (22520025708).

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

10012021140 is a wasteful number, since it uses less digits than its factorization.

10012021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012021140 its reverse (4112021001), we get a palindrome (14124042141).

The spelling of 10012021140 in words is "ten billion, twelve million, twenty-one thousand, one hundred forty".