Search a number
-
+
31113301100 = 2252765967447
BaseRepresentation
bin11100111110011111…
…110100110001101100
32222022100011110101012
4130332133310301230
51002210001113400
622143202004352
72151005460440
oct347637646154
988270143335
1031113301100
1112216713692
1260439466b8
132c1ac2204b
14171224a820
15c2173ad35
hex73e7f4c6c

31113301100 has 72 divisors (see below), whose sum is σ = 77279220480. Its totient is φ = 10651072320.

The previous prime is 31113301013. The next prime is 31113301103. The reversal of 31113301100 is 110331113.

It is a happy number.

It is a super-2 number, since 2×311133011002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (31113301103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427577 + ... + 495023.

Almost surely, 231113301100 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 31113301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38639610240).

31113301100 is an abundant number, since it is smaller than the sum of its proper divisors (46165919380).

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

31113301100 is a wasteful number, since it uses less digits than its factorization.

31113301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68127 (or 68120 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 31113301100 its reverse (110331113), we get a palindrome (31223632213).

The spelling of 31113301100 in words is "thirty-one billion, one hundred thirteen million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 659 700 1318 2636 3295 4613 6590 9226 13180 16475 18452 23065 32950 46130 65900 67447 92260 115325 134894 230650 269788 337235 461300 472129 674470 944258 1348940 1686175 1888516 2360645 3372350 4721290 6744700 9442580 11803225 23606450 44447573 47212900 88895146 177790292 222237865 311133011 444475730 622266022 888951460 1111189325 1244532044 1555665055 2222378650 3111330110 4444757300 6222660220 7778325275 15556650550 31113301100