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130303011222 = 232233722513779
BaseRepresentation
bin111100101011010101…
…0100010100110010110
3110110100001002210212200
41321112222202212112
54113330032324342
6135505501425330
712262013214666
oct1712652424626
9413301083780
10130303011222
115029671aa2a
122130626b246
13c3978b8107
1464418241a6
1535c976994c
hex1e56aa2996

130303011222 has 96 divisors (see below), whose sum is σ = 302774734080. Its totient is φ = 40394376000.

The previous prime is 130303011203. The next prime is 130303011227. The reversal of 130303011222 is 222110303031.

130303011222 is a `hidden beast` number, since 130 + 303 + 0 + 11 + 222 = 666.

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 = 130303011195 and 130303011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303011227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34478929 + ... + 34482707.

It is an arithmetic number, because the mean of its divisors is an integer number (3153903480).

Almost surely, 2130303011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130303011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151387367040).

130303011222 is an abundant number, since it is smaller than the sum of its proper divisors (172471722858).

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

130303011222 is a wasteful number, since it uses less digits than its factorization.

130303011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6095 counting only the distinct ones).

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

Adding to 130303011222 its reverse (222110303031), we get a palindrome (352413314253).

The spelling of 130303011222 in words is "one hundred thirty billion, three hundred three million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2251 2553 3779 4502 5106 6753 7558 7659 11337 13506 15318 20259 22674 34011 40518 51773 68022 83287 86917 103546 139823 155319 166574 173834 249861 260751 279646 310638 419469 465957 499722 521502 749583 782253 838938 931914 1258407 1499166 1564506 1915601 2516814 3215929 3831202 5746803 6431858 8506529 9647787 11493606 17013058 17240409 19295574 25519587 28943361 34480818 51039174 57886722 76558761 153117522 195650167 314741573 391300334 586950501 629483146 944224719 1173901002 1760851503 1888449438 2832674157 3521703006 5665348314 7239056179 14478112358 21717168537 43434337074 65151505611 130303011222