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1002210100110 = 232511135667779
BaseRepresentation
bin11101001010110000110…
…00001000001110001110
310112210212202010010212200
432211120120020032032
5112410011241200420
62044224200342330
7132256462202412
oct16453030101616
93483782103780
101002210100110
1135704252390a
1214229a1749a6
137367b12549b
1436715b92d42
151b10a7cab90
hexe95860838e

1002210100110 has 24 divisors (see below), whose sum is σ = 2605746260520. Its totient is φ = 267256026672.

The previous prime is 1002210100093. The next prime is 1002210100181. The reversal of 1002210100110 is 110010122001.

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 = 1002210100092 and 1002210100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5567833800 + ... + 5567833979.

It is an arithmetic number, because the mean of its divisors is an integer number (108572760855).

Almost surely, 21002210100110 is an apocalyptic number.

1002210100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002210100110 is an abundant number, since it is smaller than the sum of its proper divisors (1603536160410).

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

1002210100110 is a wasteful number, since it uses less digits than its factorization.

1002210100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135667792 (or 11135667789 counting only the distinct ones).

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

Adding to 1002210100110 its reverse (110010122001), we get a palindrome (1112220222111).

The spelling of 1002210100110 in words is "one trillion, two billion, two hundred ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11135667779 22271335558 33407003337 55678338895 66814006674 100221010011 111356677790 167035016685 200442020022 334070033370 501105050055 1002210100110