Search a number
-
+
10110323213232 = 24311317374753101
BaseRepresentation
bin1001001100011111111000…
…1110010100001110110000
31022210112111210211011101220
42103013332032110032300
52311121420220310412
633300341322225040
72062306143235344
oct223077616241660
938715453734356
1010110323213232
113248844973000
121173546955180
135845265c0058
1426d4b1209624
15127ed55d268c
hex931fe3943b0

10110323213232 has 1280 divisors, whose sum is σ = 32828726255616. Its totient is φ = 2667405312000.

The previous prime is 10110323213227. The next prime is 10110323213267. The reversal of 10110323213232 is 23231232301101.

10110323213232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100102209982 + ... + 100102210082.

Almost surely, 210110323213232 is an apocalyptic number.

10110323213232 is a gapful number since it is divisible by the number (12) 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 10110323213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414363127808).

10110323213232 is an abundant number, since it is smaller than the sum of its proper divisors (22718403042384).

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

10110323213232 is a wasteful number, since it uses less digits than its factorization.

10110323213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10110323213232 its reverse (23231232301101), we get a palindrome (33341555514333).

The spelling of 10110323213232 in words is "ten trillion, one hundred ten billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred thirty-two".