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2100342120 = 233574323557
BaseRepresentation
bin111110100110000…
…1010110101101000
312102101011102201220
41331030022311220
513300141421440
6544225342040
7103022420262
oct17514126550
95371142656
102100342120
11988652138
124a7497920
132761aa7b6
1415cd38b32
15c45d38d0
hex7d30ad68

2100342120 has 64 divisors (see below), whose sum is σ = 6309774720. Its totient is φ = 559313664.

The previous prime is 2100342119. The next prime is 2100342143. The reversal of 2100342120 is 212430012.

2100342120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21003421202 = 8822874042092188800, which contains 22 as substring.

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 2100342120.

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, 77382 + ... + 100938.

It is an arithmetic number, because the mean of its divisors is an integer number (98590230).

Almost surely, 22100342120 is an apocalyptic number.

2100342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100342120 is an abundant number, since it is smaller than the sum of its proper divisors (4209432600).

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

2100342120 is a wasteful number, since it uses less digits than its factorization.

2100342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24314 (or 24310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2100342120 is about 45829.4896327681. The cubic root of 2100342120 is about 1280.6487027581.

Adding to 2100342120 its reverse (212430012), we get a palindrome (2312772132).

The spelling of 2100342120 in words is "two billion, one hundred million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 14860 17832 22290 23557 29720 44580 47114 70671 89160 94228 117785 141342 188456 235570 282684 353355 471140 565368 706710 942280 1413420 2826840 17502851 35005702 52508553 70011404 87514255 105017106 140022808 175028510 210034212 262542765 350057020 420068424 525085530 700114040 1050171060 2100342120