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2002021100019 = 3223431050121419
BaseRepresentation
bin11101001000100001110…
…000011010100111110011
321002101120021220100222100
4131020201300122213303
5230300114400200034
64131414340111443
7264432643366653
oct35104160324763
97071507810870
102002021100019
1170206379a186
12284008995583
13116a361b8745
146cc8107c363
153712565c099
hex1d221c1a9f3

2002021100019 has 48 divisors (see below), whose sum is σ = 3088152587520. Its totient is φ = 1246784616000.

The previous prime is 2002021099993. The next prime is 2002021100041. The reversal of 2002021100019 is 9100011202002.

It is not a de Polignac number, because 2002021100019 - 25 = 2002021099987 is a prime.

It is a super-2 number, since 2×20020211000192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002021099974 and 2002021100010.

It is not an unprimeable number, because it can be changed into a prime (2002021100069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93458692 + ... + 93480110.

It is an arithmetic number, because the mean of its divisors is an integer number (64336512240).

Almost surely, 22002021100019 is an apocalyptic number.

2002021100019 is a deficient number, since it is larger than the sum of its proper divisors (1086131487501).

2002021100019 is a wasteful number, since it uses less digits than its factorization.

2002021100019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31992 (or 31989 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2002021100019 in words is "two trillion, two billion, twenty-one million, one hundred thousand, nineteen".

Divisors: 1 3 9 23 43 69 129 207 387 989 2967 8901 10501 21419 31503 64257 94509 192771 241523 451543 492637 724569 921017 1354629 1477911 2173707 2763051 4063887 4433733 8289153 10385489 21183391 31156467 63550173 93469401 190650519 224920919 674762757 2024288271 5173181137 9671599517 15519543411 29014798551 46558630233 87044395653 222446788891 667340366673 2002021100019