Search a number
-
+
31111110200 = 2352316182261
BaseRepresentation
bin11100111110010111…
…011101111000111000
32222022012001011000202
4130332113131320320
51002203421011300
622143043021332
72150651034122
oct347627357070
988265034022
1031111110200
1112215457625
12604306a848
132c1a635a61
141711c3a212
15c21456ad5
hex73e5dde38

31111110200 has 96 divisors (see below), whose sum is σ = 75891630720. Its totient is φ = 11845440000.

The previous prime is 31111110179. The next prime is 31111110203. The reversal of 31111110200 is 201111113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31111110203) 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, 337070 + ... + 419330.

It is an arithmetic number, because the mean of its divisors is an integer number (790537820).

Almost surely, 231111110200 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 31111110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37945815360).

31111110200 is an abundant number, since it is smaller than the sum of its proper divisors (44780520520).

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

31111110200 is a wasteful number, since it uses less digits than its factorization.

31111110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82369 (or 82360 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 31111110200 its reverse (201111113), we get a palindrome (31312221313).

The spelling of 31111110200 in words is "thirty-one billion, one hundred eleven million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 155 200 244 248 305 310 488 610 620 775 1220 1240 1525 1550 1891 2440 3050 3100 3782 6100 6200 7564 9455 12200 15128 18910 37820 47275 75640 82261 94550 164522 189100 329044 378200 411305 658088 822610 1645220 2056525 2550091 3290440 4113050 5017921 5100182 8226100 10035842 10200364 12750455 16452200 20071684 20400728 25089605 25500910 40143368 50179210 51001820 63752275 100358420 102003640 125448025 127504550 155555551 200716840 250896050 255009100 311111102 501792100 510018200 622222204 777777755 1003584200 1244444408 1555555510 3111111020 3888888775 6222222040 7777777550 15555555100 31111110200