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2002102002120 = 2335111516743941
BaseRepresentation
bin11101001000100110100…
…101000010000111001000
321002101202221010121210110
4131020212211002013020
5230300301103031440
64131430350114320
7264434645141103
oct35104645020710
97071687117713
102002102002120
117020a5427120
1228402baab9a0
13116a49ba35cc
146cc8badb73a
153712c7dd080
hex1d2269421c8

2002102002120 has 64 divisors (see below), whose sum is σ = 6552333829440. Its totient is φ = 485358060800.

The previous prime is 2002102002097. The next prime is 2002102002157. The reversal of 2002102002120 is 212002012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002102002096 and 2002102002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758370651 + ... + 758373290.

It is an arithmetic number, because the mean of its divisors is an integer number (102380216085).

Almost surely, 22002102002120 is an apocalyptic number.

2002102002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002102002120 is an abundant number, since it is smaller than the sum of its proper divisors (4550231827320).

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

2002102002120 is a wasteful number, since it uses less digits than its factorization.

2002102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516743966 (or 1516743962 counting only the distinct ones).

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

Adding to 2002102002120 its reverse (212002012002), we get a palindrome (2214104014122).

The spelling of 2002102002120 in words is "two trillion, two billion, one hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1516743941 3033487882 4550231823 6066975764 7583719705 9100463646 12133951528 15167439410 16684183351 18200927292 22751159115 30334878820 33368366702 36401854584 45502318230 50052550053 60669757640 66736733404 83420916755 91004636460 100105100106 133473466808 166841833510 182009272920 200210200212 250262750265 333683667020 400420400424 500525500530 667367334040 1001051001060 2002102002120