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31120200 = 23345217113
BaseRepresentation
bin111011010110…
…1101101001000
32011120001220000
41312231231020
530431321300
63031003000
7525342306
oct166555510
964501800
1031120200
1116626081
12a509460
1365a7b27
1441c1276
152aeac00
hex1dadb48

31120200 has 240 divisors, whose sum is σ = 115455780. Its totient is φ = 7741440.

The previous prime is 31120181. The next prime is 31120211. The reversal of 31120200 is 202113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6260004 + 24860196 = 2502^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275344 + ... + 275456.

Almost surely, 231120200 is an apocalyptic number.

31120200 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 31120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727890).

31120200 is an abundant number, since it is smaller than the sum of its proper divisors (84335580).

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

31120200 is a wasteful number, since it uses less digits than its factorization.

31120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31120200 is about 5578.5481982322. The cubic root of 31120200 is about 314.5435566079.

Adding to 31120200 its reverse (202113), we get a palindrome (31322313).

The spelling of 31120200 in words is "thirty-one million, one hundred twenty thousand, two hundred".