Search a number
-
+
131222113311 = 3293779836217
BaseRepresentation
bin111101000110101110…
…0101000110000011111
3110112201002120000220210
41322031130220300133
54122220330111221
6140141013143503
712323543362632
oct1721534506037
9415632500823
10131222113311
1150718509a33
122152202ab93
13c4b313c2c3
1464cb913c19
1536302bb276
hex1e8d728c1f

131222113311 has 64 divisors (see below), whose sum is σ = 190539417600. Its totient is φ = 80151192576.

The previous prime is 131222113277. The next prime is 131222113327. The reversal of 131222113311 is 113311222131.

It is not a de Polignac number, because 131222113311 - 223 = 131213724703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131222113811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21103875 + ... + 21110091.

It is an arithmetic number, because the mean of its divisors is an integer number (2977178400).

Almost surely, 2131222113311 is an apocalyptic number.

131222113311 is a deficient number, since it is larger than the sum of its proper divisors (59317304289).

131222113311 is a wasteful number, since it uses less digits than its factorization.

131222113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448.

The product of its digits is 216, while the sum is 21.

Adding to 131222113311 its reverse (113311222131), we get a palindrome (244533335442).

The spelling of 131222113311 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 29 37 79 83 87 111 237 249 1073 2291 2407 2923 3071 3219 6217 6557 6873 7221 8769 9213 18651 19671 84767 89059 180293 190153 230029 242609 254301 267177 491143 516011 540879 570459 690087 727827 1473429 1548033 6670841 7035661 14243147 14964319 18172291 19092407 20012523 21106983 40764869 42729441 44892957 54516873 57277221 122294607 526996439 553679803 1182181201 1508300153 1580989317 1661039409 3546543603 4524900459 43740704437 131222113311