Search a number
-
+
10112010120 = 2332528088917
BaseRepresentation
bin10010110101011100…
…10000011110001000
3222002201112100010100
421122232100132020
5131202133310440
64351223245400
7505404445032
oct113256203610
928081470110
1010112010120
114319a69963
121b625a9860
13c51c77754
146bcd9cc52
153e2b36230
hex25ab90788

10112010120 has 48 divisors (see below), whose sum is σ = 32864034060. Its totient is φ = 2696535936.

The previous prime is 10112010049. The next prime is 10112010137. The reversal of 10112010120 is 2101021101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8146506564 + 1965503556 = 90258^2 + 44334^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 14044099 + ... + 14044818.

Almost surely, 210112010120 is an apocalyptic number.

10112010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112010120 is an abundant number, since it is smaller than the sum of its proper divisors (22752023940).

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

10112010120 is a wasteful number, since it uses less digits than its factorization.

10112010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28088934 (or 28088927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112010120 its reverse (2101021101), we get a palindrome (12213031221).

The spelling of 10112010120 in words is "ten billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28088917 56177834 84266751 112355668 140444585 168533502 224711336 252800253 280889170 337067004 421333755 505600506 561778340 674134008 842667510 1011201012 1123556680 1264001265 1685335020 2022402024 2528002530 3370670040 5056005060 10112010120