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10115020040 = 2352337297151
BaseRepresentation
bin10010110101110011…
…01111010100001000
3222002221012020221212
421122321233110020
5131203421120130
64351411552252
7505442152226
oct113271572410
928087166855
1010115020040
1143207352a4
121b635bb688
13c5278c778
146bd543b16
153e302ce95
hex25ae6f508

10115020040 has 64 divisors (see below), whose sum is σ = 24390236160. Its totient is φ = 3765484800.

The previous prime is 10115020033. The next prime is 10115020049. The reversal of 10115020040 is 4002051101.

10115020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10115019997 and 10115020024.

It is not an unprimeable number, because it can be changed into a prime (10115020049) 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 15 ways as a sum of consecutive naturals, for example, 114536 + ... + 182615.

It is an arithmetic number, because the mean of its divisors is an integer number (381097440).

Almost surely, 210115020040 is an apocalyptic number.

10115020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10115020040 is an abundant number, since it is smaller than the sum of its proper divisors (14275216120).

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

10115020040 is a wasteful number, since it uses less digits than its factorization.

10115020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297222 (or 297218 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10115020040 its reverse (4002051101), we get a palindrome (14117071141).

The spelling of 10115020040 in words is "ten billion, one hundred fifteen million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 3404 4255 6808 8510 17020 34040 297151 594302 1188604 1485755 2377208 2971510 5943020 6834473 10994587 11886040 13668946 21989174 27337892 34172365 43978348 54675784 54972935 68344730 87956696 109945870 136689460 219891740 252875501 273378920 439783480 505751002 1011502004 1264377505 2023004008 2528755010 5057510020 10115020040