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10311204416 = 264722715101
BaseRepresentation
bin10011001101001100…
…00111111001000000
3222121121100110022212
421212212013321000
5132104132020131
64423100521252
7513343535312
oct114646077100
928547313285
1010311204416
114411451547
121bb9250228
13c8430c0b6
146db6117b2
15405381a2b
hex266987e40

10311204416 has 56 divisors (see below), whose sum is σ = 20990088576. Its totient is φ = 5023347200.

The previous prime is 10311204403. The next prime is 10311204467. The reversal of 10311204416 is 61440211301.

It is a junction number, because it is equal to n+sod(n) for n = 10311204391 and 10311204400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675266 + ... + 690366.

Almost surely, 210311204416 is an apocalyptic number.

10311204416 is a gapful number since it is divisible by the number (16) 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 10311204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495044288).

10311204416 is an abundant number, since it is smaller than the sum of its proper divisors (10678884160).

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

10311204416 is a wasteful number, since it uses less digits than its factorization.

10311204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10311204416 its reverse (61440211301), we get a palindrome (71751415717).

The spelling of 10311204416 in words is "ten billion, three hundred eleven million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 188 227 376 454 752 908 1504 1816 3008 3632 7264 10669 14528 15101 21338 30202 42676 60404 85352 120808 170704 241616 341408 483232 682816 709747 966464 1419494 2838988 3427927 5677976 6855854 11355952 13711708 22711904 27423416 45423808 54846832 109693664 161112569 219387328 322225138 644450276 1288900552 2577801104 5155602208 10311204416