Search a number
-
+
10123523340 = 22357971911301
BaseRepresentation
bin10010110110110100…
…01011010100001100
3222010112012021021220
421123122023110030
5131213110221330
64352314123340
7505604346210
oct113332132414
928115167256
1010123523340
114325512a17
121b66420550
13c54478cc8
146c0718940
153e3b5c710
hex25b68b50c

10123523340 has 192 divisors, whose sum is σ = 32925892608. Its totient is φ = 2276352000.

The previous prime is 10123523329. The next prime is 10123523357. The reversal of 10123523340 is 4332532101.

It is a self number, because there is not a number n which added to its sum of digits gives 10123523340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7780690 + ... + 7781990.

It is an arithmetic number, because the mean of its divisors is an integer number (171489024).

Almost surely, 210123523340 is an apocalyptic number.

10123523340 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 10123523340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462946304).

10123523340 is an abundant number, since it is smaller than the sum of its proper divisors (22802369268).

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

10123523340 is a wasteful number, since it uses less digits than its factorization.

10123523340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 10123523340 in words is "ten billion, one hundred twenty-three million, five hundred twenty-three thousand, three hundred forty".