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2002210202120 = 235674339172181
BaseRepresentation
bin11101001000101101000…
…001110010001000001000
321002102001110201202021212
4131020231001302020020
5230301011302431440
64131445213152252
7264440430625022
oct35105501621010
97072043652255
102002210202120
11702150509407
1228406018b688
13116a6642858b
146cc9c225012
1537137062465
hex1d22d072208

2002210202120 has 64 divisors (see below), whose sum is σ = 4573291665600. Its totient is φ = 788744183040.

The previous prime is 2002210202009. The next prime is 2002210202131. The reversal of 2002210202120 is 212020122002.

It is a super-2 number, since 2×20022102021202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002210202095 and 2002210202104.

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, 11542430 + ... + 11714610.

It is an arithmetic number, because the mean of its divisors is an integer number (71457682275).

Almost surely, 22002210202120 is an apocalyptic number.

2002210202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286645832800).

2002210202120 is an abundant number, since it is smaller than the sum of its proper divisors (2571081463480).

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

2002210202120 is a wasteful number, since it uses less digits than its factorization.

2002210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176598 (or 176594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002210202120 its reverse (212020122002), we get a palindrome (2214230324122).

The spelling of 2002210202120 in words is "two trillion, two billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 4339 8678 17356 21695 34712 43390 86780 172181 173560 290713 344362 581426 688724 860905 1162852 1377448 1453565 1721810 2325704 2907130 3443620 5814260 6887240 11536127 11628520 23072254 46144508 57680635 92289016 115361270 230722540 461445080 747093359 1494186718 2988373436 3735466795 5976746872 7470933590 14941867180 29883734360 50055255053 100110510106 200221020212 250276275265 400442040424 500552550530 1001105101060 2002210202120