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1221311322 = 232711280107
BaseRepresentation
bin100100011001011…
…1011101101011010
310011010010001011200
41020302323231122
510000123430242
6321104535030
742156655260
oct11062735532
93133101150
101221311322
11577442300
122a1021476
1316604672a
14b82ba430
157234a04c
hex48cbbb5a

1221311322 has 72 divisors (see below), whose sum is σ = 3324161568. Its totient is φ = 317219760.

The previous prime is 1221311261. The next prime is 1221311341. The reversal of 1221311322 is 2231131221.

1221311322 is a `hidden beast` number, since 12 + 21 + 311 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1221311295 and 1221311304.

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 35 ways as a sum of consecutive naturals, for example, 24808 + ... + 55299.

Almost surely, 21221311322 is an apocalyptic number.

1221311322 is an abundant number, since it is smaller than the sum of its proper divisors (2102850246).

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

1221311322 is a wasteful number, since it uses less digits than its factorization.

1221311322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80144 (or 80130 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1221311322 is about 34947.2648715175. The cubic root of 1221311322 is about 1068.9124309190.

Adding to 1221311322 its reverse (2231131221), we get a palindrome (3452442543).

The spelling of 1221311322 in words is "one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 80107 160214 240321 480642 560749 720963 881177 1121498 1441926 1682247 1762354 2643531 3364494 5046741 5287062 6168239 7930593 9692947 10093482 12336478 15861186 18504717 19385894 29078841 37009434 55514151 58157682 67850629 87236523 111028302 135701258 174473046 203551887 407103774 610655661 1221311322