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3131311302 = 2327193142193
BaseRepresentation
bin1011101010100100…
…0000010011000110
322002020010002120200
42322221000103012
522403103430202
61234414511330
7140411464320
oct27251002306
98066102520
103131311302
1113675a8589
12734805546
133ab96bb32
14219c28610
15134d80e1c
hexbaa404c6

3131311302 has 96 divisors (see below), whose sum is σ = 8425297920. Its totient is φ = 820212480.

The previous prime is 3131311219. The next prime is 3131311303. The reversal of 3131311302 is 2031131313.

It is a happy number.

It is a super-2 number, since 2×31313113022 = 19610220940065870408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131311303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53118 + ... + 95310.

It is an arithmetic number, because the mean of its divisors is an integer number (87763520).

Almost surely, 23131311302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212648960).

3131311302 is an abundant number, since it is smaller than the sum of its proper divisors (5293986618).

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

3131311302 is a wasteful number, since it uses less digits than its factorization.

3131311302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42258 (or 42255 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3131311302 is about 55958.1209655935. The cubic root of 3131311302 is about 1462.9924397381.

Adding to 3131311302 its reverse (2031131313), we get a palindrome (5162442615).

The spelling of 3131311302 in words is "three billion, one hundred thirty-one million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 37107 42193 74214 84386 126579 253158 295351 379737 590702 759474 801667 886053 1307983 1603334 1772106 2405001 2615966 2658159 3923949 4810002 5316318 5611669 7215003 7847898 9155881 11223338 11771847 14430006 16835007 18311762 23543694 24851677 27467643 33670014 49703354 50505021 54935286 74555031 82402929 101010042 149110062 164805858 173961739 223665093 347923478 447330186 521885217 1043770434 1565655651 3131311302