Search a number
-
+
10120110112 = 257179383659
BaseRepresentation
bin10010110110011010…
…01010000000100000
3222010021202212020001
421123031022000200
5131211222010422
64352113025344
7505533342130
oct113315120040
928107685201
1010120110112
1143235a1572
121b65255254
13c53852548
146c00aaac0
153e36d6227
hex25b34a020

10120110112 has 96 divisors (see below), whose sum is σ = 22992076800. Its totient is φ = 4295171328.

The previous prime is 10120110109. The next prime is 10120110113. The reversal of 10120110112 is 21101102101.

It is not an unprimeable number, because it can be changed into a prime (10120110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15356439 + ... + 15357097.

It is an arithmetic number, because the mean of its divisors is an integer number (239500800).

Almost surely, 210120110112 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 10120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496038400).

10120110112 is an abundant number, since it is smaller than the sum of its proper divisors (12871966688).

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

10120110112 is a wasteful number, since it uses less digits than its factorization.

10120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120110112 its reverse (21101102101), we get a palindrome (31221212213).

The spelling of 10120110112 in words is "ten billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 383 659 716 766 1253 1318 1432 1532 2506 2636 2681 2864 3064 4613 5012 5272 5362 5728 6128 9226 10024 10544 10724 12256 18452 20048 21088 21448 36904 40096 42896 68557 73808 85792 117961 137114 147616 235922 252397 274228 471844 479899 504794 548456 825727 943688 959798 1009588 1096912 1651454 1766779 1887376 1919596 2019176 2193824 3302908 3533558 3774752 3839192 4038352 6605816 7067116 7678384 8076704 13211632 14134232 15356768 26423264 28268464 45179063 56536928 90358126 180716252 316253441 361432504 632506882 722865008 1265013764 1445730016 2530027528 5060055056 10120110112