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10310120040 = 2335117810697
BaseRepresentation
bin10011001101000011…
…11111001001101000
3222121112022100211210
421212201333021220
5132103342320130
64423021353120
7513331401003
oct114641771150
928545270753
1010310120040
114410880870
121bb8a087a0
13c8401c65c
146db40c53a
1540521a5b0
hex26687f268

10310120040 has 64 divisors (see below), whose sum is σ = 33742215360. Its totient is φ = 2499422720.

The previous prime is 10310120011. The next prime is 10310120077. The reversal of 10310120040 is 4002101301.

It is a happy number.

10310120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10310119998 and 10310120025.

It is an unprimeable number.

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, 3904029 + ... + 3906668.

It is an arithmetic number, because the mean of its divisors is an integer number (527222115).

Almost surely, 210310120040 is an apocalyptic number.

10310120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310120040 is an abundant number, since it is smaller than the sum of its proper divisors (23432095320).

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

10310120040 is a wasteful number, since it uses less digits than its factorization.

10310120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810722 (or 7810718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10310120040 its reverse (4002101301), we get a palindrome (14312221341).

The spelling of 10310120040 in words is "ten billion, three hundred ten million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7810697 15621394 23432091 31242788 39053485 46864182 62485576 78106970 85917667 93728364 117160455 156213940 171835334 187456728 234320910 257753001 312427880 343670668 429588335 468641820 515506002 687341336 859176670 937283640 1031012004 1288765005 1718353340 2062024008 2577530010 3436706680 5155060020 10310120040