Search a number
-
+
2313515140500 = 22353101109113997
BaseRepresentation
bin100001101010101000001…
…111111000010110010100
322012011120211220011002110
4201222220033320112110
5300401034333444000
64530451510311020
7326101030141404
oct41525017702624
98164524804073
102313515140500
11812179a90193
1231445b658470
1313a2183bb325
147dd90934804
15402a6e47850
hex21aa83f8594

2313515140500 has 192 divisors, whose sum is σ = 6810381317376. Its totient is φ = 610225600000.

The previous prime is 2313515140499. The next prime is 2313515140513. The reversal of 2313515140500 is 50415153132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165279502 + ... + 165293498.

It is an arithmetic number, because the mean of its divisors is an integer number (35470736028).

Almost surely, 22313515140500 is an apocalyptic number.

2313515140500 is a gapful number since it is divisible by the number (20) 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 2313515140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405190658688).

2313515140500 is an abundant number, since it is smaller than the sum of its proper divisors (4496866176876).

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

2313515140500 is a wasteful number, since it uses less digits than its factorization.

2313515140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15199 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 2313515140500 in words is "two trillion, three hundred thirteen billion, five hundred fifteen million, one hundred forty thousand, five hundred".