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1002002200122 = 237113835662757
BaseRepresentation
bin11101001010010111111…
…11000011011000111010
310112210100020220201201010
432211023333003120322
5112404100030400442
62044151412334350
7132251356113120
oct16451377033072
93483306821633
101002002200122
11356a46135540
121422406143b6
1373647033441
14366d6315910
151b0e7410b9c
hexe94bfc363a

1002002200122 has 64 divisors (see below), whose sum is σ = 2505022930944. Its totient is φ = 259580735040.

The previous prime is 1002002200103. The next prime is 1002002200139. The reversal of 1002002200122 is 2210022002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002002200098 and 1002002200107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2654433 + ... + 3008324.

It is an arithmetic number, because the mean of its divisors is an integer number (39140983296).

Almost surely, 21002002200122 is an apocalyptic number.

1002002200122 is an abundant number, since it is smaller than the sum of its proper divisors (1503020730822).

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

1002002200122 is a wasteful number, since it uses less digits than its factorization.

1002002200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663163.

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

Adding to 1002002200122 its reverse (2210022002001), we get a palindrome (3212024202123).

The spelling of 1002002200122 in words is "one trillion, two billion, two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 383 462 766 1149 2298 2681 4213 5362 8043 8426 12639 16086 25278 29491 58982 88473 176946 5662757 11325514 16988271 33976542 39639299 62290327 79278598 118917897 124580654 186870981 237835794 373741962 436032289 872064578 1308096867 2168835931 2616193734 4337671862 6506507793 13013015586 15181851517 23857195241 30363703034 45545554551 47714390482 71571585723 91091109102 143143171446 167000366687 334000733374 501001100061 1002002200122