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21003306126 = 231110122913759
BaseRepresentation
bin10011100011111001…
…010000010010001110
32000012202102111111220
4103203321100102032
5321003321244001
613352045424210
71342324104435
oct234371202216
960182374456
1021003306126
1189a8900840
1240a1b6b066
131c995018ba
14103365411c
1582dda1c36
hex4e3e5048e

21003306126 has 64 divisors (see below), whose sum is σ = 46484582400. Its totient is φ = 6273648000.

The previous prime is 21003306089. The next prime is 21003306131. The reversal of 21003306126 is 62160330012.

It is a happy number.

It is a super-2 number, since 2×210033061262 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003306096 and 21003306105.

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, 1519635 + ... + 1533393.

It is an arithmetic number, because the mean of its divisors is an integer number (726321600).

Almost surely, 221003306126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003306126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242291200).

21003306126 is an abundant number, since it is smaller than the sum of its proper divisors (25481276274).

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

21003306126 is a wasteful number, since it uses less digits than its factorization.

21003306126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21003306126 its reverse (62160330012), we get a palindrome (83163636138).

The spelling of 21003306126 in words is "twenty-one billion, three million, three hundred six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 229 303 458 606 687 1111 1374 2222 2519 3333 5038 6666 7557 13759 15114 23129 27518 41277 46258 69387 82554 138774 151349 254419 302698 454047 508838 763257 908094 1389659 1526514 2779318 3150811 4168977 6301622 8337954 9452433 15286249 18904866 30572498 34658921 45858747 69317842 91717494 103976763 207953526 318231911 636463822 954695733 1909391466 3500551021 7001102042 10501653063 21003306126