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2100122010 = 232573333527
BaseRepresentation
bin111110100101101…
…0101000110011010
312102100202020210200
41331023111012122
513300112401020
6544220523030
7103020512460
oct17513250632
95370666720
102100122010
11988511828
124a73b0476
1327613155c
1415ccbc830
15c458d590
hex7d2d519a

2100122010 has 48 divisors (see below), whose sum is σ = 6240364416. Its totient is φ = 480027744.

The previous prime is 2100121999. The next prime is 2100122039. The reversal of 2100122010 is 102210012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100121983 and 2100122001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666134 + ... + 1667393.

It is an arithmetic number, because the mean of its divisors is an integer number (130007592).

Almost surely, 22100122010 is an apocalyptic number.

2100122010 is an abundant number, since it is smaller than the sum of its proper divisors (4140242406).

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

2100122010 is a wasteful number, since it uses less digits than its factorization.

2100122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333547 (or 3333544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100122010 is about 45827.0881684621. The cubic root of 2100122010 is about 1280.6039650570.

Adding to 2100122010 its reverse (102210012), we get a palindrome (2202332022).

The spelling of 2100122010 in words is "two billion, one hundred million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3333527 6667054 10000581 16667635 20001162 23334689 30001743 33335270 46669378 50002905 60003486 70004067 100005810 116673445 140008134 150008715 210012201 233346890 300017430 350020335 420024402 700040670 1050061005 2100122010