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1002002022219 = 3111031237238313
BaseRepresentation
bin11101001010010111111…
…10010111111101001011
310112210100020120200200010
432211023332113331023
5112404100004202334
62044151404443003
7132251354442342
oct16451376277513
93483306520603
101002002022219
11356a46023910
12142240549463
1373646ca0483
14366d62aab59
151b0e73c80e9
hexe94bf97f4b

1002002022219 has 32 divisors (see below), whose sum is σ = 1472803398144. Its totient is φ = 600889409280.

The previous prime is 1002002022209. The next prime is 1002002022239. The reversal of 1002002022219 is 9122202002001.

It is a happy number.

It is not a de Polignac number, because 1002002022219 - 29 = 1002002021707 is a prime.

It is a super-2 number, since 2×10020020222192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002002022195 and 1002002022204.

It is not an unprimeable number, because it can be changed into a prime (1002002022209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085407 + ... + 4323719.

It is an arithmetic number, because the mean of its divisors is an integer number (46025106192).

Almost surely, 21002002022219 is an apocalyptic number.

1002002022219 is a deficient number, since it is larger than the sum of its proper divisors (470801375925).

1002002022219 is a wasteful number, since it uses less digits than its factorization.

1002002022219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239667.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 1002002022219 in words is "one trillion, two billion, two million, twenty-two thousand, two hundred nineteen".

Divisors: 1 3 11 33 103 309 1133 1237 3399 3711 13607 40821 127411 238313 382233 714939 1401521 2621443 4204563 7864329 24546239 73638717 270008629 294793181 810025887 884379543 3242724991 9728174973 30363697643 91091092929 334000674073 1002002022219