Search a number
-
+
1131131231022 = 2313113191671903
BaseRepresentation
bin10000011101011100101…
…011001101101100101110
311000010122110222011100010
4100131130223031230232
5122013024043343042
62223345015514050
7144502325553012
oct20353453155456
94003573864303
101131131231022
113a678a1006a1
12163279688926
1382885637430
143ca65c60542
151e653a7e59c
hex1075cacdb2e

1131131231022 has 64 divisors (see below), whose sum is σ = 2470714638336. Its totient is φ = 343153789440.

The previous prime is 1131131231017. The next prime is 1131131231059. The reversal of 1131131231022 is 2201321311311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131131231022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347523 + ... + 2019425.

It is an arithmetic number, because the mean of its divisors is an integer number (38604916224).

Almost surely, 21131131231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131131231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235357319168).

1131131231022 is an abundant number, since it is smaller than the sum of its proper divisors (1339583407314).

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

1131131231022 is a wasteful number, since it uses less digits than its factorization.

1131131231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672225.

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

Adding to 1131131231022 its reverse (2201321311311), we get a palindrome (3332452542333).

The spelling of 1131131231022 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 113 191 226 339 382 573 678 1146 1469 2483 2938 4407 4966 7449 8814 14898 21583 43166 64749 129498 280579 561158 671903 841737 1343806 1683474 2015709 4031418 8734739 17469478 26204217 52408434 75925039 128333473 151850078 227775117 256666946 385000419 455550234 770000838 987025507 1668335149 1974051014 2961076521 3336670298 5005005447 5922153042 10010010894 14501682449 29003364898 43505047347 87010094694 188521871837 377043743674 565565615511 1131131231022