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2412101244 = 2237235311621
BaseRepresentation
bin1000111111000101…
…1011111001111100
320020002210102212010
42033301123321330
514414444214434
61035203411220
7113526344100
oct21761337174
96202712763
102412101244
111028628403
12573983b10
132c5964a57
1418c4cd900
15e1b669e9
hex8fc5be7c

2412101244 has 72 divisors (see below), whose sum is σ = 6566244048. Its totient is φ = 687160320.

The previous prime is 2412101203. The next prime is 2412101273. The reversal of 2412101244 is 4421012142.

It is a super-2 number, since 2×24121012442 = 11636464822612695072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2412101244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201754 + ... + 213374.

It is an arithmetic number, because the mean of its divisors is an integer number (91197834).

Almost surely, 22412101244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412101244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283122024).

2412101244 is an abundant number, since it is smaller than the sum of its proper divisors (4154142804).

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

2412101244 is a wasteful number, since it uses less digits than its factorization.

2412101244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2412101244 is about 49113.1473640206. The cubic root of 2412101244 is about 1341.1123984839.

Adding to 2412101244 its reverse (4421012142), we get a palindrome (6833113386).

The spelling of 2412101244 in words is "two billion, four hundred twelve million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 353 588 706 1059 1412 2118 2471 4236 4942 7413 9884 11621 14826 17297 23242 29652 34594 34863 46484 51891 69188 69726 81347 103782 139452 162694 207564 244041 325388 488082 569429 976164 1138858 1708287 2277716 3416574 4102213 6833148 8204426 12306639 16408852 24613278 28715491 49226556 57430982 86146473 114861964 172292946 201008437 344585892 402016874 603025311 804033748 1206050622 2412101244