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10031103120 = 2435115136313
BaseRepresentation
bin10010101011110011…
…00111110010010000
3221220002021211120210
421111321213302100
5131020430244440
64335213204120
7503402653413
oct112571476220
927802254523
1010031103120
114288329275
121b3b490640
13c3b28a59c
146b233bb7a
153da9a3a80
hex255e67c90

10031103120 has 80 divisors (see below), whose sum is σ = 31124293632. Its totient is φ = 2672563200.

The previous prime is 10031103097. The next prime is 10031103133. The reversal of 10031103120 is 2130113001.

10031103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10031103096 and 10031103105.

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, 258084 + ... + 294396.

Almost surely, 210031103120 is an apocalyptic number.

10031103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031103120 is an abundant number, since it is smaller than the sum of its proper divisors (21093190512).

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

10031103120 is a wasteful number, since it uses less digits than its factorization.

10031103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37480 (or 37474 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10031103120 its reverse (2130113001), we get a palindrome (12161216121).

The spelling of 10031103120 in words is "ten billion, thirty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1151 2302 3453 4604 5755 6906 9208 11510 13812 17265 18416 23020 27624 34530 36313 46040 55248 69060 72626 92080 108939 138120 145252 181565 217878 276240 290504 363130 435756 544695 581008 726260 871512 1089390 1452520 1743024 2178780 2905040 4357560 8715120 41796263 83592526 125388789 167185052 208981315 250777578 334370104 417962630 501555156 626943945 668740208 835925260 1003110312 1253887890 1671850520 2006220624 2507775780 3343701040 5015551560 10031103120