Search a number
-
+
31052142345510 = 233511131634934057
BaseRepresentation
bin1110000111101111000111…
…11010011111110100100110
311001221120000012010210011000
413003313203322133310212
513032224241420024020
6150013053545054130
76353305014642246
oct703674372376446
9131846005123130
1031052142345510
11999215990a980
123596143787346
131443287270970
14794d08873b26
1538cb0e014090
hex1c3de3e9fd26

31052142345510 has 256 divisors, whose sum is σ = 97879079531520. Its totient is φ = 6906099502080.

The previous prime is 31052142345463. The next prime is 31052142345533. The reversal of 31052142345510 is 1554324125013.

31052142345510 is a `hidden beast` number, since 3 + 1 + 0 + 52 + 142 + 3 + 455 + 10 = 666.

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, 3826402 + ... + 8760458.

It is an arithmetic number, because the mean of its divisors is an integer number (382340154420).

Almost surely, 231052142345510 is an apocalyptic number.

31052142345510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31052142345510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48939539765760).

31052142345510 is an abundant number, since it is smaller than the sum of its proper divisors (66826937186010).

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

31052142345510 is a wasteful number, since it uses less digits than its factorization.

31052142345510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934260 (or 4934254 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 31052142345510 in words is "thirty-one trillion, fifty-two billion, one hundred forty-two million, three hundred forty-five thousand, five hundred ten".