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311203122132 = 223741137659569
BaseRepresentation
bin1001000011101010010…
…01101100101111010100
31002202021021120121011110
410201311021230233110
520044320444402012
6354544214535020
731324621615110
oct4416511545724
91082237517143
10311203122132
1110aa8705a821
1250391367470
1323466b64666
14110c2da8740
158165ec273c
hex487526cbd4

311203122132 has 96 divisors (see below), whose sum is σ = 856322369280. Its totient is φ = 86113198080.

The previous prime is 311203122107. The next prime is 311203122143. The reversal of 311203122132 is 231221302113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 311203122099 and 311203122108.

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 31 ways as a sum of consecutive naturals, for example, 142044 + ... + 801612.

It is an arithmetic number, because the mean of its divisors is an integer number (8920024680).

Almost surely, 2311203122132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311203122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428161184640).

311203122132 is an abundant number, since it is smaller than the sum of its proper divisors (545119247148).

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

311203122132 is a wasteful number, since it uses less digits than its factorization.

311203122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659761 (or 659759 counting only the distinct ones).

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

Adding to 311203122132 its reverse (231221302113), we get a palindrome (542424424245).

The spelling of 311203122132 in words is "three hundred eleven billion, two hundred three million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 137 164 246 274 287 411 492 548 574 822 861 959 1148 1644 1722 1918 2877 3444 3836 5617 5754 11234 11508 16851 22468 33702 39319 67404 78638 117957 157276 235914 471828 659569 1319138 1978707 2638276 3957414 4616983 7914828 9233966 13850949 18467932 27042329 27701898 54084658 55403796 81126987 90360953 108169316 162253974 180721906 189296303 271082859 324507948 361443812 378592606 542165718 567888909 632526671 757185212 1084331436 1135777818 1265053342 1897580013 2271555636 2530106684 3704799073 3795160026 7409598146 7590320052 11114397219 14819196292 22228794438 25933593511 44457588876 51867187022 77800780533 103734374044 155601561066 311203122132