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101331020322 = 23271816944263
BaseRepresentation
bin101111001011111001…
…1001010101000100010
3100200112221012011212200
41132113303022220202
53130011220122242
6114314551234030
710215035314140
oct1362763125042
9320487164780
10101331020322
1139a797a03a4
121777b678916
13972b4b8c2c
144c93b38590
15298100604c
hex1797ccaa22

101331020322 has 48 divisors (see below), whose sum is σ = 250934386560. Its totient is φ = 28949472576.

The previous prime is 101331020311. The next prime is 101331020333. The reversal of 101331020322 is 223020133101.

101331020322 is a `hidden beast` number, since 1 + 0 + 13 + 310 + 20 + 322 = 666.

101331020322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101331020311) and next prime (101331020333).

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 = 101331020295 and 101331020304.

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 23 ways as a sum of consecutive naturals, for example, 2267163 + ... + 2311425.

It is an arithmetic number, because the mean of its divisors is an integer number (5227799720).

Almost surely, 2101331020322 is an apocalyptic number.

101331020322 is an abundant number, since it is smaller than the sum of its proper divisors (149603366238).

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

101331020322 is a wasteful number, since it uses less digits than its factorization.

101331020322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62447 (or 62444 counting only the distinct ones).

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

Adding to 101331020322 its reverse (223020133101), we get a palindrome (324351153423).

The spelling of 101331020322 in words is "one hundred one billion, three hundred thirty-one million, twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 18169 36338 44263 54507 88526 109014 127183 132789 163521 254366 265578 309841 327042 381549 398367 619682 763098 796734 929523 1144647 1859046 2289294 2788569 5577138 804214447 1608428894 2412643341 4825286682 5629501129 7237930023 11259002258 14475860046 16888503387 33777006774 50665510161 101331020322