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2002102120 = 235220722679
BaseRepresentation
bin111011101010101…
…1010011101101000
312011112022022210101
41313111122131220
513100014231440
6530355555144
7100420405264
oct16725323550
95145268711
102002102120
11938152a57
1247a5bbab4
1325ba32115
1414dc850a4
15bab7a69a
hex7755a768

2002102120 has 32 divisors (see below), whose sum is σ = 4506969600. Its totient is φ = 800442688.

The previous prime is 2002102117. The next prime is 2002102133. The reversal of 2002102120 is 212012002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002102097 and 2002102106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76941 + ... + 99619.

It is an arithmetic number, because the mean of its divisors is an integer number (140842800).

Almost surely, 22002102120 is an apocalyptic number.

2002102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002102120 is an abundant number, since it is smaller than the sum of its proper divisors (2504867480).

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

2002102120 is a wasteful number, since it uses less digits than its factorization.

2002102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24897 (or 24893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2002102120 is about 44744.8557937111. The cubic root of 2002102120 is about 1260.3623128726.

Adding to 2002102120 its reverse (212012002), we get a palindrome (2214114122).

The spelling of 2002102120 in words is "two billion, two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2207 4414 8828 11035 17656 22070 22679 44140 45358 88280 90716 113395 181432 226790 453580 907160 50052553 100105106 200210212 250262765 400420424 500525530 1001051060 2002102120