Search a number
-
+
10031211000 = 2332533673037
BaseRepresentation
bin10010101011110100…
…00010000111111000
3221220002111022120100
421111322002013320
5131020442223000
64335215355400
7503403613056
oct112572020770
927802438510
1010031211000
1142883a2328
121b3b522b60
13c3b2c7715
146b23691d6
153da9c5a00
hex255e821f8

10031211000 has 192 divisors, whose sum is σ = 34009073280. Its totient is φ = 2666822400.

The previous prime is 10031210999. The next prime is 10031211013. The reversal of 10031211000 is 11213001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3301482 + ... + 3304518.

It is an arithmetic number, because the mean of its divisors is an integer number (177130590).

Almost surely, 210031211000 is an apocalyptic number.

10031211000 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 10031211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004536640).

10031211000 is an abundant number, since it is smaller than the sum of its proper divisors (23977862280).

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

10031211000 is a wasteful number, since it uses less digits than its factorization.

10031211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10031211000 its reverse (11213001), we get a palindrome (10042424001).

The spelling of 10031211000 in words is "ten billion, thirty-one million, two hundred eleven thousand".