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1001100110022 = 2321714812209027
BaseRepresentation
bin11101001000101100011…
…01110110100011000110
310112201000101110210201200
432210112031312203012
5112400223112010042
62043522105403330
7132220123350615
oct16442615664306
93481011423650
101001100110022
11356622a05931
1214202a499546
137353218760c
143664c5b387c
151b09311ec4c
hexe9163768c6

1001100110022 has 48 divisors (see below), whose sum is σ = 2298193206192. Its totient is φ = 313858414080.

The previous prime is 1001100109991. The next prime is 1001100110069. The reversal of 1001100110022 is 2200110011001.

It is a happy number.

1001100110022 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001100109986 and 1001100110013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651328 + ... + 1557699.

It is an arithmetic number, because the mean of its divisors is an integer number (47879025129).

Almost surely, 21001100110022 is an apocalyptic number.

1001100110022 is an abundant number, since it is smaller than the sum of its proper divisors (1297093096170).

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

1001100110022 is a wasteful number, since it uses less digits than its factorization.

1001100110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210533 (or 2210530 counting only the distinct ones).

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

Adding to 1001100110022 its reverse (2200110011001), we get a palindrome (3201210121023).

The spelling of 1001100110022 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1481 2962 4443 8886 13329 25177 26658 50354 75531 151062 226593 453186 2209027 4418054 6627081 13254162 19881243 37553459 39762486 75106918 112660377 225320754 337981131 675962262 3271568987 6543137974 9814706961 19629413922 29444120883 55616672779 58888241766 111233345558 166850018337 333700036674 500550055011 1001100110022