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31213113300 = 2232527925557
BaseRepresentation
bin11101000100011100…
…100100111111010100
32222120021222102222100
4131010130210333110
51002411024111200
622201125202100
72153330041215
oct350434447724
988507872870
1031213113300
1112267a97006
126071260330
132c357cb215
1417215cd40c
15c2a3a4d00
hex744724fd4

31213113300 has 162 divisors, whose sum is σ = 99107704878. Its totient is φ = 8216657280.

The previous prime is 31213113293. The next prime is 31213113301. The reversal of 31213113300 is 331131213.

It is a happy number.

31213113300 is a `hidden beast` number, since 3 + 1 + 21 + 311 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7772890896 + 23440222404 = 88164^2 + 153102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213113301) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5614122 + ... + 5619678.

Almost surely, 231213113300 is an apocalyptic number.

31213113300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49553852439).

31213113300 is an abundant number, since it is smaller than the sum of its proper divisors (67894591578).

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

31213113300 is a wasteful number, since it uses less digits than its factorization.

31213113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31213113300 its reverse (331131213), we get a palindrome (31544244513).

The spelling of 31213113300 in words is "thirty-one billion, two hundred thirteen million, one hundred thirteen thousand, three hundred".