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10311044224 = 271321094373
BaseRepresentation
bin10011001101001011…
…00000110010000000
3222121121001022120211
421212211200302000
5132104111403344
64423053243504
7513342300265
oct114645406200
928547038524
1010311044224
114411352158
121bb9193594
13c84284200
146db5ad26c
1540534e334
hex266960c80

10311044224 has 96 divisors (see below), whose sum is σ = 22452398100. Its totient is φ = 4714205184.

The previous prime is 10311044209. The next prime is 10311044239. The reversal of 10311044224 is 42244011301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10311044209) and next prime (10311044239).

It can be written as a sum of positive squares in 6 ways, for example, as 2666689600 + 7644354624 = 51640^2 + 87432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10311044195 and 10311044204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355702 + ... + 2360074.

Almost surely, 210311044224 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 10311044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226199050).

10311044224 is an abundant number, since it is smaller than the sum of its proper divisors (12141353876).

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

10311044224 is a wasteful number, since it uses less digits than its factorization.

10311044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10311044224 its reverse (42244011301), we get a palindrome (52555055525).

The spelling of 10311044224 in words is "ten billion, three hundred eleven million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 169 208 218 338 416 436 676 832 872 1352 1417 1664 1744 2704 2834 3488 4373 5408 5668 6976 8746 10816 11336 13952 17492 18421 21632 22672 34984 36842 45344 56849 69968 73684 90688 113698 139936 147368 181376 227396 279872 294736 454792 476657 559744 589472 739037 909584 953314 1178944 1478074 1819168 1906628 2357888 2956148 3638336 3813256 5912296 6196541 7276672 7626512 11824592 12393082 15253024 23649184 24786164 30506048 47298368 49572328 61012096 80555033 94596736 99144656 161110066 198289312 322220132 396578624 644440264 793157248 1288880528 2577761056 5155522112 10311044224