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10312002320 = 245678119009
BaseRepresentation
bin10011001101010010…
…01010101100010000
3222121122211222211212
421212221022230100
5132104333033240
64423125555252
7513353400464
oct114651125420
928548758755
1010312002320
114411946a74
121bb9575b28
13c8452b329
146db77c4a4
1540548d165
hex266a4ab10

10312002320 has 40 divisors (see below), whose sum is σ = 23980202520. Its totient is φ = 4123975680.

The previous prime is 10312002319. The next prime is 10312002329. The reversal of 10312002320 is 2320021301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2173797376 + 8138204944 = 46624^2 + 90212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10312002295 and 10312002304.

It is not an unprimeable number, because it can be changed into a prime (10312002329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532976 + ... + 551984.

It is an arithmetic number, because the mean of its divisors is an integer number (599505063).

Almost surely, 210312002320 is an apocalyptic number.

10312002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312002320 is an abundant number, since it is smaller than the sum of its proper divisors (13668200200).

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

10312002320 is a wasteful number, since it uses less digits than its factorization.

10312002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25803 (or 25797 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10312002320 its reverse (2320021301), we get a palindrome (12632023621).

The spelling of 10312002320 in words is "ten billion, three hundred twelve million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6781 13562 19009 27124 33905 38018 54248 67810 76036 95045 108496 135620 152072 190090 271240 304144 380180 542480 760360 1520720 128900029 257800058 515600116 644500145 1031200232 1289000290 2062400464 2578000580 5156001160 10312002320