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10310202112 = 28721734751
BaseRepresentation
bin10011001101000100…
…10011001100000000
3222121112110112102111
421212202103030000
5132103402431422
64423023225104
7513332162200
oct114642231400
928545415374
1010310202112
1144109274a1
121bb8a48194
13c8404ab12
146db430400
15405234a77
hex266893300

10310202112 has 108 divisors (see below), whose sum is σ = 24083601696. Its totient is φ = 4392192000.

The previous prime is 10310202031. The next prime is 10310202121. The reversal of 10310202112 is 21120201301.

It is a junction number, because it is equal to n+sod(n) for n = 10310202092 and 10310202101.

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, 2167737 + ... + 2172487.

It is an arithmetic number, because the mean of its divisors is an integer number (222996312).

Almost surely, 210310202112 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 10310202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041800848).

10310202112 is an abundant number, since it is smaller than the sum of its proper divisors (13773399584).

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

10310202112 is an equidigital number, since it uses as much as digits as its factorization.

10310202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10310202112 its reverse (21120201301), we get a palindrome (31430403413).

The spelling of 10310202112 in words is "ten billion, three hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 173 196 224 256 346 392 448 692 784 896 1211 1384 1568 1792 2422 2768 3136 4751 4844 5536 6272 8477 9502 9688 11072 12544 16954 19004 19376 22144 33257 33908 38008 38752 44288 66514 67816 76016 77504 133028 135632 152032 155008 232799 266056 271264 304064 310016 465598 532112 542528 608128 821923 931196 1064224 1085056 1216256 1643846 1862392 2128448 2170112 3287692 3724784 4256896 5753461 6575384 7449568 8513792 11506922 13150768 14899136 23013844 26301536 29798272 40274227 46027688 52603072 59596544 80548454 92055376 105206144 161096908 184110752 210412288 322193816 368221504 644387632 736443008 1288775264 1472886016 2577550528 5155101056 10310202112