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1002002001021 = 3372757371127
BaseRepresentation
bin11101001010010111111…
…10010010110001111101
310112210100020112121121000
432211023332102301331
5112404100003013041
62044151404200513
7132251354323500
oct16451376226175
93483306477530
101002002001021
11356a4600999a
12142240539139
1373646c93928
14366d62a3137
151b0e73c1bb6
hexe94bf92c7d

1002002001021 has 24 divisors (see below), whose sum is σ = 1726806171840. Its totient is φ = 572572571256.

The previous prime is 1002002000977. The next prime is 1002002001023. The reversal of 1002002001021 is 1201002002001.

It is not a de Polignac number, because 1002002001021 - 214 = 1002001984637 is a prime.

It is a super-3 number, since 3×10020020010213 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002002000994 and 1002002001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002002001023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378684241 + ... + 378686886.

It is an arithmetic number, because the mean of its divisors is an integer number (71950257160).

Almost surely, 21002002001021 is an apocalyptic number.

It is an amenable number.

1002002001021 is a deficient number, since it is larger than the sum of its proper divisors (724804170819).

1002002001021 is an equidigital number, since it uses as much as digits as its factorization.

1002002001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757371150 (or 757371137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002002001021 its reverse (1201002002001), we get a palindrome (2203004003022).

The spelling of 1002002001021 in words is "one trillion, two billion, two million, one thousand, twenty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 757371127 2272113381 5301597889 6816340143 15904793667 20449020429 37111185223 47714381001 111333555669 143143143003 334000667007 1002002001021