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1002002021112 = 233432309420499
BaseRepresentation
bin11101001010010111111…
…10010111101011111000
310112210100020120122011010
432211023332113223320
5112404100004133422
62044151404433520
7132251354436201
oct16451376275370
93483306518133
101002002021112
11356a46022aa4
121422405488a0
1373646c9cb11
14366d62aa5a8
151b0e73c7b0c
hexe94bf97af8

1002002021112 has 64 divisors (see below), whose sum is σ = 2564377200000. Its totient is φ = 326091153024.

The previous prime is 1002002021051. The next prime is 1002002021117. The reversal of 1002002021112 is 2111202002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002021117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172639 + ... + 2593137.

It is an arithmetic number, because the mean of its divisors is an integer number (40068393750).

Almost surely, 21002002021112 is an apocalyptic number.

1002002021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282188600000).

1002002021112 is an abundant number, since it is smaller than the sum of its proper divisors (1562375178888).

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

1002002021112 is a wasteful number, since it uses less digits than its factorization.

1002002021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422860 (or 422856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002002021112 its reverse (2111202002001), we get a palindrome (3113204023113).

The spelling of 1002002021112 in words is "one trillion, two billion, two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2309 4618 6927 9236 13854 18472 27708 55416 99287 198574 297861 397148 420499 595722 794296 840998 1191444 1261497 1681996 2382888 2522994 3363992 5045988 10091976 18081457 36162914 54244371 72325828 108488742 144651656 216977484 433954968 970932191 1941864382 2912796573 3883728764 5825593146 7767457528 11651186292 23302372584 41750084213 83500168426 125250252639 167000336852 250500505278 334000673704 501001010556 1002002021112