Search a number
-
+
31122310100 = 22527211210713
BaseRepresentation
bin11100111111000010…
…001100001111010100
32222022222010011101212
4130333002030033110
51002214302410400
622144123040552
72151145161650
oct347702141724
988288104355
1031122310100
1112220807242
126046970158
132c1ca5780b
141713513a60
15c2241a335
hex73f08c3d4

31122310100 has 72 divisors (see below), whose sum is σ = 77549494848. Its totient is φ = 10619884800.

The previous prime is 31122310081. The next prime is 31122310133. The reversal of 31122310100 is 101322113.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42344 + ... + 253056.

Almost surely, 231122310100 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 31122310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38774747424).

31122310100 is an abundant number, since it is smaller than the sum of its proper divisors (46427184748).

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

31122310100 is a wasteful number, since it uses less digits than its factorization.

31122310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210945 (or 210938 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31122310100 its reverse (101322113), we get a palindrome (31223632213).

The spelling of 31122310100 in words is "thirty-one billion, one hundred twenty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 211 350 422 700 844 1055 1477 2110 2954 4220 5275 5908 7385 10550 14770 21100 29540 36925 73850 147700 210713 421426 842852 1053565 1474991 2107130 2949982 4214260 5267825 5899964 7374955 10535650 14749910 21071300 29499820 36874775 44460443 73749550 88920886 147499100 177841772 222302215 311223101 444604430 622446202 889208860 1111511075 1244892404 1556115505 2223022150 3112231010 4446044300 6224462020 7780577525 15561155050 31122310100