Search a number
-
+
10000110112122 = 2313402731836737
BaseRepresentation
bin1001000110000101010100…
…0000101100110101111010
31022102000000212102112021010
42101201111000230311322
52302320211142041442
633133553121054350
72051325023314014
oct221412500546572
938360025375233
1010000110112122
113206028501979
1211561087873b6
13577010bcc920
142680179d31b4
151251d4943b9c
hex9185502cd7a

10000110112122 has 32 divisors (see below), whose sum is σ = 21544047951552. Its totient is φ = 3076192779264.

The previous prime is 10000110112063. The next prime is 10000110112147. The reversal of 10000110112122 is 22121101100001.

It is a super-2 number, since 2×100001101121222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000110112098 and 10000110112107.

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 15 ways as a sum of consecutive naturals, for example, 15604263 + ... + 16232474.

It is an arithmetic number, because the mean of its divisors is an integer number (673251498486).

Almost surely, 210000110112122 is an apocalyptic number.

10000110112122 is an abundant number, since it is smaller than the sum of its proper divisors (11543937839430).

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

10000110112122 is a wasteful number, since it uses less digits than its factorization.

10000110112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31840782.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10000110112122 its reverse (22121101100001), we get a palindrome (32121211212123).

The spelling of 10000110112122 in words is "ten trillion, one hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 4027 8054 12081 24162 52351 104702 157053 314106 31836737 63673474 95510211 191020422 413877581 827755162 1241632743 2483265486 128206539899 256413079798 384619619697 769239239394 1666685018687 3333370037374 5000055056061 10000110112122