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2124122460 = 22351719110903
BaseRepresentation
bin111111010011011…
…1000100101011100
312111000220121020020
41332212320211130
513322233404320
6550435152140
7103431512565
oct17646704534
95430817206
102124122460
119a0014709
124b3445650
1327b0b57c5
1416216916c
15c672e940
hex7e9b895c

2124122460 has 96 divisors (see below), whose sum is σ = 6330949632. Its totient is φ = 530273280.

The previous prime is 2124122459. The next prime is 2124122479. The reversal of 2124122460 is 642214212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2124122460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189369 + ... + 200271.

It is an arithmetic number, because the mean of its divisors is an integer number (65947392).

Almost surely, 22124122460 is an apocalyptic number.

2124122460 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 2124122460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165474816).

2124122460 is an abundant number, since it is smaller than the sum of its proper divisors (4206827172).

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

2124122460 is a wasteful number, since it uses less digits than its factorization.

2124122460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2124122460 is about 46088.2030458988. The cubic root of 2124122460 is about 1285.4637982217.

Adding to 2124122460 its reverse (642214212), we get a palindrome (2766336672).

The spelling of 2124122460 in words is "two billion, one hundred twenty-four million, one hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 191 204 255 340 382 510 573 764 955 1020 1146 1910 2292 2865 3247 3820 5730 6494 9741 10903 11460 12988 16235 19482 21806 32470 32709 38964 43612 48705 54515 64940 65418 97410 109030 130836 163545 185351 194820 218060 327090 370702 556053 654180 741404 926755 1112106 1853510 2082473 2224212 2780265 3707020 4164946 5560530 6247419 8329892 10412365 11121060 12494838 20824730 24989676 31237095 35402041 41649460 62474190 70804082 106206123 124948380 141608164 177010205 212412246 354020410 424824492 531030615 708040820 1062061230 2124122460