Search a number
-
+
10110013223310 = 232571113373033007
BaseRepresentation
bin1001001100011110101110…
…1111110011000110001110
31022210111201012112001011200
42103013223233303012032
52311120301341121220
633300250450130330
72062265360330550
oct223075357630616
938714635461150
1010110013223310
1132486a5995a90
12117347ab809a6
135844a7305170
1426d481d954d0
15127eb829d890
hex931ebbf318e

10110013223310 has 384 divisors, whose sum is σ = 36247017590784. Its totient is φ = 1886772372480.

The previous prime is 10110013223309. The next prime is 10110013223353. The reversal of 10110013223310 is 1332231001101.

10110013223310 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 0 + 1 + 322 + 331 + 0 = 666.

It is a super-2 number, since 2×101100132233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1816827 + ... + 4849833.

It is an arithmetic number, because the mean of its divisors is an integer number (94393274976).

Almost surely, 210110013223310 is an apocalyptic number.

10110013223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110013223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123508795392).

10110013223310 is an abundant number, since it is smaller than the sum of its proper divisors (26137004367474).

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

10110013223310 is a wasteful number, since it uses less digits than its factorization.

10110013223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033088 (or 3033085 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10110013223310 its reverse (1332231001101), we get a palindrome (11442244224411).

The spelling of 10110013223310 in words is "ten trillion, one hundred ten billion, thirteen million, two hundred twenty-three thousand, three hundred ten".