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1303311222 = 234174710069
BaseRepresentation
bin100110110101110…
…1111001101110110
310100211102001220000
41031223233031312
510132121424342
6333154252130
744203651113
oct11553571566
93324361800
101303311222
1160975a014
12304587046
1317a027195
14c514390a
157964644c
hex4daef376

1303311222 has 80 divisors (see below), whose sum is σ = 3158274240. Its totient is φ = 400142592.

The previous prime is 1303311167. The next prime is 1303311227. The reversal of 1303311222 is 2221133031.

1303311222 is a `hidden beast` number, since 130 + 3 + 311 + 222 = 666.

It is a super-2 number, since 2×13033112222 = 3397240282782266568, which contains 22 as substring.

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 = 1303311195 and 1303311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303311227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124404 + ... + 134472.

It is an arithmetic number, because the mean of its divisors is an integer number (39478428).

Almost surely, 21303311222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579137120).

1303311222 is an abundant number, since it is smaller than the sum of its proper divisors (1854963018).

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

1303311222 is a wasteful number, since it uses less digits than its factorization.

1303311222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10138 counting only the distinct ones).

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

The square root of 1303311222 is about 36101.4019395369. The cubic root of 1303311222 is about 1092.3187241362.

Adding to 1303311222 its reverse (2221133031), we get a palindrome (3524444253).

The spelling of 1303311222 in words is "one billion, three hundred three million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 282 306 423 459 799 846 918 1269 1377 1598 2397 2538 2754 3807 4794 7191 7614 10069 14382 20138 21573 30207 43146 60414 64719 90621 129438 171173 181242 271863 342346 473243 513519 543726 815589 946486 1027038 1419729 1540557 1631178 2839458 3081114 4259187 4621671 8045131 8518374 9243342 12777561 13865013 16090262 24135393 25555122 27730026 38332683 48270786 72406179 76665366 144812358 217218537 434437074 651655611 1303311222