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2002011210120 = 2335103161975017
BaseRepresentation
bin11101001000100001001…
…010101100000110001000
321002101112121021220120210
4131020201022230012020
5230300104332210440
64131413344121120
7264432463336305
oct35104112540610
97071477256523
102002011210120
11702059154809
122840056061a0
13116a3413502c
146cc7da260ac
1537124856a80
hex1d2212ac188

2002011210120 has 64 divisors (see below), whose sum is σ = 6064344673920. Its totient is φ = 528686452224.

The previous prime is 2002011210107. The next prime is 2002011210167. The reversal of 2002011210120 is 210121102002.

It is a super-2 number, since 2×20020112101202 (a number of 25 digits) contains 22 as substring.

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 = 2002011210096 and 2002011210105.

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, 80975149 + ... + 80999868.

It is an arithmetic number, because the mean of its divisors is an integer number (94755385530).

Almost surely, 22002011210120 is an apocalyptic number.

2002011210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011210120 is an abundant number, since it is smaller than the sum of its proper divisors (4062333463800).

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

2002011210120 is a wasteful number, since it uses less digits than its factorization.

2002011210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161975134 (or 161975130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002011210120 its reverse (210121102002), we get a palindrome (2212132312122).

The spelling of 2002011210120 in words is "two trillion, two billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 161975017 323950034 485925051 647900068 809875085 971850102 1295800136 1619750170 1943700204 2429625255 3239500340 3887400408 4859250510 6479000680 9718501020 16683426751 19437002040 33366853502 50050280253 66733707004 83417133755 100100560506 133467414008 166834267510 200201121012 250251401265 333668535020 400402242024 500502802530 667337070040 1001005605060 2002011210120