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10120340232 = 233489175481
BaseRepresentation
bin10010110110011100…
…00010001100001000
3222010022012112220000
421123032002030020
5131211301341412
64352122003000
7505535321052
oct113316021410
928108175800
1010120340232
114323739452
121b65346460
13c53903202
146c012a8d2
153e372e4dc
hex25b382308

10120340232 has 80 divisors (see below), whose sum is σ = 28664984700. Its totient is φ = 3335523840.

The previous prime is 10120340231. The next prime is 10120340249. The reversal of 10120340232 is 23204302101.

It can be written as a sum of positive squares in 2 ways, for example, as 7884374436 + 2235965796 = 88794^2 + 47286^2 .

It is a super-2 number, since 2×101203402322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10120340231) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 30069 + ... + 145412.

Almost surely, 210120340232 is an apocalyptic number.

10120340232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120340232 is an abundant number, since it is smaller than the sum of its proper divisors (18544644468).

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

10120340232 is a wasteful number, since it uses less digits than its factorization.

10120340232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175588 (or 175575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10120340232 its reverse (23204302101), we get a palindrome (33324642333).

The spelling of 10120340232 in words is "ten billion, one hundred twenty million, three hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 1068 1602 2136 2403 3204 4806 6408 7209 9612 14418 19224 28836 57672 175481 350962 526443 701924 1052886 1403848 1579329 2105772 3158658 4211544 4737987 6317316 9475974 12634632 14213961 15617809 18951948 28427922 31235618 37903896 46853427 56855844 62471236 93706854 113711688 124942472 140560281 187413708 281120562 374827416 421680843 562241124 843361686 1124482248 1265042529 1686723372 2530085058 3373446744 5060170116 10120340232