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311222310132 = 22341265323627
BaseRepresentation
bin1001000011101100100…
…10111001010011110100
31002202022121200110011010
410201312102321103310
520044340402411012
6354550142112220
731325243662566
oct4416622712364
91082277613133
10311222310132
1110aa96975a78
125039787b670
132346ab222c6
14110c5761336
158167a12c3c
hex48764b94f4

311222310132 has 72 divisors (see below), whose sum is σ = 745500637728. Its totient is φ = 101051237120.

The previous prime is 311222310097. The next prime is 311222310151. The reversal of 311222310132 is 231013222113.

It is a junction number, because it is equal to n+sod(n) for n = 311222310099 and 311222310108.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13160503 + ... + 13184129.

It is an arithmetic number, because the mean of its divisors is an integer number (10354175524).

Almost surely, 2311222310132 is an apocalyptic number.

It is an amenable number.

311222310132 is an abundant number, since it is smaller than the sum of its proper divisors (434278327596).

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

311222310132 is a wasteful number, since it uses less digits than its factorization.

311222310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24369 (or 24326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311222310132 its reverse (231013222113), we get a palindrome (542235532245).

The spelling of 311222310132 in words is "three hundred eleven billion, two hundred twenty-two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 653 1306 1681 1959 2612 3362 3918 5043 6724 7836 10086 20172 23627 26773 47254 53546 70881 80319 94508 107092 141762 160638 283524 321276 968707 1097693 1937414 2195386 2906121 3293079 3874828 4390772 5812242 6586158 11624484 13172316 15428431 30856862 39716987 46285293 61713724 79433974 92570586 119150961 158867948 185141172 238301922 476603844 632565671 1265131342 1897697013 2530262684 3795394026 7590788052 25935192511 51870385022 77805577533 103740770044 155611155066 311222310132