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10322113320 = 2332528672537
BaseRepresentation
bin10011001110011111…
…01111001100101000
3222122100212200112100
421213033233030220
5132114430111240
64424130413400
7513535341561
oct114717571450
928570780470
1010322113320
114417622572
122000a31260
13c8665b57c
146dcc51168
154062d8e30
hex2673ef328

10322113320 has 48 divisors (see below), whose sum is σ = 33546869460. Its totient is φ = 2752563456.

The previous prime is 10322113297. The next prime is 10322113357. The reversal of 10322113320 is 2331122301.

10322113320 is a `hidden beast` number, since 1 + 0 + 322 + 11 + 332 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9226370916 + 1095742404 = 96054^2 + 33102^2 .

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 = 10322113293 and 10322113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14335909 + ... + 14336628.

Almost surely, 210322113320 is an apocalyptic number.

10322113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322113320 is an abundant number, since it is smaller than the sum of its proper divisors (23224756140).

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

10322113320 is a wasteful number, since it uses less digits than its factorization.

10322113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672554 (or 28672547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10322113320 its reverse (2331122301), we get a palindrome (12653235621).

The spelling of 10322113320 in words is "ten billion, three hundred twenty-two 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 28672537 57345074 86017611 114690148 143362685 172035222 229380296 258052833 286725370 344070444 430088055 516105666 573450740 688140888 860176110 1032211332 1146901480 1290264165 1720352220 2064422664 2580528330 3440704440 5161056660 10322113320