Search a number
-
+
103010232312 = 2332131393072579
BaseRepresentation
bin101111111101111100…
…0110110011111111000
3100211212221220222200100
41133323320312133320
53141431104413222
6115153334435400
710304455346001
oct1377370663770
9324787828610
10103010232312
113a7606551a9
1217b69b02b60
1399383674b0
144db2b6c1a8
152a2d6504ac
hex17fbe367f8

103010232312 has 192 divisors, whose sum is σ = 303711408000. Its totient is φ = 31352769792.

The previous prime is 103010232223. The next prime is 103010232323. The reversal of 103010232312 is 213232010301.

It is a super-2 number, since 2×1030102323122 (a number of 23 digits) contains 22 as substring.

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

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, 39940639 + ... + 39943217.

It is an arithmetic number, because the mean of its divisors is an integer number (1581830250).

Almost surely, 2103010232312 is an apocalyptic number.

103010232312 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 103010232312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151855704000).

103010232312 is an abundant number, since it is smaller than the sum of its proper divisors (200701175688).

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

103010232312 is a wasteful number, since it uses less digits than its factorization.

103010232312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3043 counting only the distinct ones).

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

Adding to 103010232312 its reverse (213232010301), we get a palindrome (316242242613).

The spelling of 103010232312 in words is "one hundred three billion, ten million, two hundred thirty-two thousand, three hundred twelve".