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10110223312 = 247215798167
BaseRepresentation
bin10010110101001110…
…11100001111010000
3222002121011120002021
421122213130033100
5131201204121222
64351121101224
7505353323500
oct113247341720
928077146067
1010110223312
114318a59462
121b61a87814
13c517a0377
146bca55a00
153e28d1ac7
hex25a9dc3d0

10110223312 has 60 divisors (see below), whose sum is σ = 22803912480. Its totient is φ = 4329678528.

The previous prime is 10110223309. The next prime is 10110223313. The reversal of 10110223312 is 21332201101.

10110223312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110223313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233853 + ... + 1242019.

It is an arithmetic number, because the mean of its divisors is an integer number (380065208).

Almost surely, 210110223312 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 10110223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401956240).

10110223312 is an abundant number, since it is smaller than the sum of its proper divisors (12693689168).

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

10110223312 is a wasteful number, since it uses less digits than its factorization.

10110223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10110223312 its reverse (21332201101), we get a palindrome (31442424413).

The spelling of 10110223312 in words is "ten billion, one hundred ten million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1579 3158 6316 8167 11053 12632 16334 22106 25264 32668 44212 57169 65336 77371 88424 114338 130672 154742 176848 228676 309484 400183 457352 618968 800366 914704 1237936 1600732 3201464 6402928 12895693 25791386 51582772 90269851 103165544 180539702 206331088 361079404 631888957 722158808 1263777914 1444317616 2527555828 5055111656 10110223312