Search a number
-
+
103213131231210 = 235721113374327177
BaseRepresentation
bin10111011101111100101110…
…000001011110111111101010
3111112110002010120121011001220
4113131330232001132333222
5102012020443043344320
61003303242524122510
730511621416030300
oct2735745601367752
9445402116534056
10103213131231210
112a983496901450
12b6ab490996436
134578c585c39c0
141b6b783b56270
15bdec251ace40
hex5ddf2e05efea

103213131231210 has 1152 divisors, whose sum is σ = 356003525170944. Its totient is φ = 18811490181120.

The previous prime is 103213131231187. The next prime is 103213131231277. The reversal of 103213131231210 is 12132131312301.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14381093142 + ... + 14381100318.

It is an arithmetic number, because the mean of its divisors is an integer number (309030837822).

Almost surely, 2103213131231210 is an apocalyptic number.

103213131231210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103213131231210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178001762585472).

103213131231210 is an abundant number, since it is smaller than the sum of its proper divisors (252790393939734).

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

103213131231210 is a wasteful number, since it uses less digits than its factorization.

103213131231210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103213131231210 its reverse (12132131312301), we get a palindrome (115345262543511).

The spelling of 103213131231210 in words is "one hundred three trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred ten".