Search a number
-
+
101111000022 = 23231181202509
BaseRepresentation
bin101111000101010101…
…1110110101111010110
3100122222121011222202200
41132022223312233112
53124033404000042
6114241051345330
710206424214424
oct1361253665726
9318877158680
10101111000022
113997658393a
1217719a52246
1396c4a421c6
144c72824114
15296ba44c4c
hex178aaf6bd6

101111000022 has 24 divisors (see below), whose sum is σ = 226140732480. Its totient is φ = 32616451440.

The previous prime is 101110999999. The next prime is 101111000057. The reversal of 101111000022 is 220000111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110999968 and 101111000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90600697 + ... + 90601812.

It is an arithmetic number, because the mean of its divisors is an integer number (9422530520).

Almost surely, 2101111000022 is an apocalyptic number.

101111000022 is an abundant number, since it is smaller than the sum of its proper divisors (125029732458).

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

101111000022 is a wasteful number, since it uses less digits than its factorization.

101111000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181202548 (or 181202545 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101111000022 its reverse (220000111101), we get a palindrome (321111111123).

The spelling of 101111000022 in words is "one hundred one billion, one hundred eleven million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 181202509 362405018 543607527 1087215054 1630822581 3261645162 5617277779 11234555558 16851833337 33703666674 50555500011 101111000022