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1002002022012 = 22383500168501
BaseRepresentation
bin11101001010010111111…
…10010111111001111100
310112210100020120200101110
432211023332113321330
5112404100004201022
62044151404442020
7132251354441625
oct16451376277174
93483306520343
101002002022012
11356a46023742
12142240549310
1373646ca0354
14366d62aaa4c
151b0e73c800c
hexe94bf97e7c

1002002022012 has 12 divisors (see below), whose sum is σ = 2338004718056. Its totient is φ = 334000674000.

The previous prime is 1002002022011. The next prime is 1002002022017. The reversal of 1002002022012 is 2102202002001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10020020220122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 83500168501 = 1002002022012 / (1 + 0 + 0 + 2 + 0 + 0 + 2 + 0 + 2 + 2 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002022011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41750084239 + ... + 41750084262.

Almost surely, 21002002022012 is an apocalyptic number.

1002002022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002002022012 is an abundant number, since it is smaller than the sum of its proper divisors (1336002696044).

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

1002002022012 is a wasteful number, since it uses less digits than its factorization.

1002002022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83500168508 (or 83500168506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002002022012 its reverse (2102202002001), we get a palindrome (3104204024013).

It can be divided in two parts, 100200 and 2022012, that added together give a palindrome (2122212).

The spelling of 1002002022012 in words is "one trillion, two billion, two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 83500168501 167000337002 250500505503 334000674004 501001011006 1002002022012