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10320240312 = 23321091131381
BaseRepresentation
bin10011001110010001…
…00101111010111000
3222122020100112020200
421213020211322320
5132113440142222
64424022322200
7513513411114
oct114710457270
928566315220
1010320240312
114416563328
122000289360
13c86153b95
146dc8c4744
15406068eac
hex267225eb8

10320240312 has 48 divisors (see below), whose sum is σ = 27976483080. Its totient is φ = 3436900800.

The previous prime is 10320240299. The next prime is 10320240331. The reversal of 10320240312 is 21304202301.

10320240312 is a `hidden beast` number, since 10 + 320 + 24 + 0 + 312 = 666.

10320240312 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 (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12862 + ... + 144242.

Almost surely, 210320240312 is an apocalyptic number.

10320240312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10320240312 is an abundant number, since it is smaller than the sum of its proper divisors (17656242768).

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

10320240312 is a wasteful number, since it uses less digits than its factorization.

10320240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132484 (or 132477 counting only the distinct ones).

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

Adding to 10320240312 its reverse (21304202301), we get a palindrome (31624442613).

The spelling of 10320240312 in words is "ten billion, three hundred twenty million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1091 2182 3273 4364 6546 8728 9819 13092 19638 26184 39276 78552 131381 262762 394143 525524 788286 1051048 1182429 1576572 2364858 3153144 4729716 9459432 143336671 286673342 430010013 573346684 860020026 1146693368 1290030039 1720040052 2580060078 3440080104 5160120156 10320240312