Search a number
-
+
2002102001112 = 2331131889390809
BaseRepresentation
bin11101001000100110100…
…101000001110111011000
321002101202221010120102010
4131020212211001313120
5230300301103013422
64131430350105520
7264434645135133
oct35104645016730
97071687116363
102002102001112
117020a5426394
1228402baab2a0
13116a49ba3005
146cc8badb21a
153712c7dcb0c
hex1d226941dd8

2002102001112 has 64 divisors (see below), whose sum is σ = 5052235356000. Its totient is φ = 661109571584.

The previous prime is 2002102001111. The next prime is 2002102001113. The reversal of 2002102001112 is 2111002012002.

It is an interprime number because it is at equal distance from previous prime (2002102001111) and next prime (2002102001113).

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 (2002102001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4927564 + ... + 5318372.

Almost surely, 22002102001112 is an apocalyptic number.

It is an amenable number.

2002102001112 is an abundant number, since it is smaller than the sum of its proper divisors (3050133354888).

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

2002102001112 is a wasteful number, since it uses less digits than its factorization.

2002102001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392820 (or 392816 counting only the distinct ones).

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

Adding to 2002102001112 its reverse (2111002012002), we get a palindrome (4113104013114).

The spelling of 2002102001112 in words is "two trillion, two billion, one hundred two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1356 1889 2712 3778 5667 7556 11334 15112 22668 45336 213457 390809 426914 640371 781618 853828 1172427 1280742 1563236 1707656 2344854 2561484 3126472 4689708 5122968 9379416 44161417 88322834 132484251 176645668 264968502 353291336 529937004 738238201 1059874008 1476476402 2214714603 2952952804 4429429206 5905905608 8858858412 17717716824 83420916713 166841833426 250262750139 333683666852 500525500278 667367333704 1001051000556 2002102001112