Search a number
-
+
31122401200 = 2452117073273
BaseRepresentation
bin11100111111000010…
…100010011110110000
32222022222021210100221
4130333002202132300
51002214313314300
622144125022424
72151146021362
oct347702423660
988288253327
1031122401200
1112220869730
1260469b4a14
132c1ca8a117
141713538d32
15c2243731a
hex73f0a27b0

31122401200 has 60 divisors (see below), whose sum is σ = 81568995768. Its totient is φ = 11317235200.

The previous prime is 31122401197. The next prime is 31122401207. The reversal of 31122401200 is 210422113.

It is a super-2 number, since 2×311224012002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31122401207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3532237 + ... + 3541036.

Almost surely, 231122401200 is an apocalyptic number.

It is an amenable number.

31122401200 is an abundant number, since it is smaller than the sum of its proper divisors (50446594568).

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

31122401200 is a wasteful number, since it uses less digits than its factorization.

31122401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073302 (or 7073291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31122401200 its reverse (210422113), we get a palindrome (31332823313).

The spelling of 31122401200 in words is "thirty-one billion, one hundred twenty-two million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7073273 14146546 28293092 35366365 56586184 70732730 77806003 113172368 141465460 155612006 176831825 282930920 311224012 353663650 389030015 565861840 622448024 707327300 778060030 1244896048 1414654600 1556120060 1945150075 2829309200 3112240120 3890300150 6224480240 7780600300 15561200600 31122401200