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2102142120 = 2335131347527
BaseRepresentation
bin111110101001100…
…0010010010101000
312102111112212212120
41331103002102220
513301122021440
6544332111240
7103043625141
oct17523022250
95374485776
102102142120
11989671541
124a8005520
1327668aba0
1415d286ac8
15c483bdd0
hex7d4c24a8

2102142120 has 64 divisors (see below), whose sum is σ = 6791541120. Its totient is φ = 517449984.

The previous prime is 2102142103. The next prime is 2102142131. The reversal of 2102142120 is 212412012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102142120.

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, 672204 + ... + 675323.

It is an arithmetic number, because the mean of its divisors is an integer number (106117830).

Almost surely, 22102142120 is an apocalyptic number.

2102142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102142120 is an abundant number, since it is smaller than the sum of its proper divisors (4689399000).

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

2102142120 is a wasteful number, since it uses less digits than its factorization.

2102142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347554 (or 1347550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2102142120 is about 45849.1234376405. The cubic root of 2102142120 is about 1281.0144383279.

Adding to 2102142120 its reverse (212412012), we get a palindrome (2314554132).

The spelling of 2102142120 in words is "two billion, one hundred two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1347527 2695054 4042581 5390108 6737635 8085162 10780216 13475270 16170324 17517851 20212905 26950540 32340648 35035702 40425810 52553553 53901080 70071404 80851620 87589255 105107106 140142808 161703240 175178510 210214212 262767765 350357020 420428424 525535530 700714040 1051071060 2102142120