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10241113320 = 2332528447537
BaseRepresentation
bin10011000100110101…
…01111110011101000
3222102201110110102100
421202122233303220
5131433211111240
64412114333400
7511533012144
oct114232576350
928381413370
1010241113320
114385929019
121b9988a260
13c7293ac89
146d21a8224
153ee138e30
hex2626afce8

10241113320 has 48 divisors (see below), whose sum is σ = 33283619460. Its totient is φ = 2730963456.

The previous prime is 10241113313. The next prime is 10241113367. The reversal of 10241113320 is 2331114201.

10241113320 is a `hidden beast` number, since 102 + 411 + 133 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9272534436 + 968578884 = 96294^2 + 31122^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10241113293 and 10241113302.

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, 14223409 + ... + 14224128.

Almost surely, 210241113320 is an apocalyptic number.

10241113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241113320 is an abundant number, since it is smaller than the sum of its proper divisors (23042506140).

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

10241113320 is a wasteful number, since it uses less digits than its factorization.

10241113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28447554 (or 28447547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10241113320 its reverse (2331114201), we get a palindrome (12572227521).

The spelling of 10241113320 in words is "ten billion, two hundred forty-one million, one hundred thirteen thousand, three 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 28447537 56895074 85342611 113790148 142237685 170685222 227580296 256027833 284475370 341370444 426713055 512055666 568950740 682740888 853426110 1024111332 1137901480 1280139165 1706852220 2048222664 2560278330 3413704440 5120556660 10241113320