Search a number
-
+
10315253340 = 22335713719919
BaseRepresentation
bin10011001101101011…
…00100011001011100
3222121212222011102000
421212311210121130
5132111201101330
64423323402300
7513423130620
oct114665443134
928555864360
1010315253340
114413767567
121bba683390
13c850c9002
146dbd87180
154058d1560
hex266d6465c

10315253340 has 192 divisors, whose sum is σ = 36946022400. Its totient is φ = 2340444672.

The previous prime is 10315253323. The next prime is 10315253357. The reversal of 10315253340 is 4335251301.

10315253340 is a `hidden beast` number, since 1 + 0 + 315 + 2 + 5 + 3 + 340 = 666.

10315253340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10315253323) and next prime (10315253357).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507901 + ... + 527819.

It is an arithmetic number, because the mean of its divisors is an integer number (192427200).

Almost surely, 210315253340 is an apocalyptic number.

10315253340 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 10315253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473011200).

10315253340 is an abundant number, since it is smaller than the sum of its proper divisors (26630769060).

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

10315253340 is a wasteful number, since it uses less digits than its factorization.

10315253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20073 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10315253340 in words is "ten billion, three hundred fifteen million, two hundred fifty-three thousand, three hundred forty".