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1331021322 = 237304303
BaseRepresentation
bin100111101010101…
…1100011000001010
310102202112220000000
41033111130120022
510211220140242
6340024223430
744661331431
oct11725343012
93382486000
101331021322
11623366024
1231190ab76
131829a9aa7
14c8ab8118
157bcbba4c
hex4f55c60a

1331021322 has 32 divisors (see below), whose sum is σ = 2994351360. Its totient is φ = 443672316.

The previous prime is 1331021303. The next prime is 1331021333. The reversal of 1331021322 is 2231201331.

1331021322 is a `hidden beast` number, since 13 + 310 + 21 + 322 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 1331021295 and 1331021304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147778 + ... + 156525.

It is an arithmetic number, because the mean of its divisors is an integer number (93573480).

Almost surely, 21331021322 is an apocalyptic number.

1331021322 is an abundant number, since it is smaller than the sum of its proper divisors (1663330038).

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

1331021322 is an frugal number, since it uses more digits than its factorization.

1331021322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304326 (or 304308 counting only the distinct ones).

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

The square root of 1331021322 is about 36483.1649120522. The cubic root of 1331021322 is about 1100.0058737978.

Adding to 1331021322 its reverse (2231201331), we get a palindrome (3562222653).

Subtracting 1331021322 from its reverse (2231201331), we obtain a square (900180009 = 300032).

The spelling of 1331021322 in words is "one billion, three hundred thirty-one million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 304303 608606 912909 1825818 2738727 5477454 8216181 16432362 24648543 49297086 73945629 147891258 221836887 443673774 665510661 1331021322