Search a number
-
+
10112503120 = 245731731593
BaseRepresentation
bin10010110101100000…
…01000110101010000
3222002202110101101121
421122300020311100
5131202300044440
64351242012024
7505411600246
oct113260106520
928082411347
1010112503120
11431a2762a5
121b627a7014
13c520bac75
146bd08a796
153e2bd234a
hex25ac08d50

10112503120 has 40 divisors (see below), whose sum is σ = 23833659816. Its totient is φ = 3989587968.

The previous prime is 10112503111. The next prime is 10112503147. The reversal of 10112503120 is 2130521101.

It can be written as a sum of positive squares in 4 ways, for example, as 894967056 + 9217536064 = 29916^2 + 96008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 10112503094 and 10112503103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859957 + ... + 871636.

Almost surely, 210112503120 is an apocalyptic number.

10112503120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112503120 is an abundant number, since it is smaller than the sum of its proper divisors (13721156696).

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

10112503120 is a wasteful number, since it uses less digits than its factorization.

10112503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731679 (or 1731673 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 10112503120 in words is "ten billion, one hundred twelve million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 1731593 3463186 6926372 8657965 13852744 17315930 27705488 34631860 69263720 126406289 138527440 252812578 505625156 632031445 1011250312 1264062890 2022500624 2528125780 5056251560 10112503120