Search a number
-
+
31022100 = 22325234469
BaseRepresentation
bin111011001010…
…1110000010100
32011101002022200
41312111300110
530420201400
63024524500
7524453304
oct166256024
964332280
1031022100
11165693aa
12a480730
136572295
144197604
152acbb00
hex1d95c14

31022100 has 54 divisors (see below), whose sum is σ = 97239870. Its totient is φ = 8272320.

The previous prime is 31022081. The next prime is 31022111. The reversal of 31022100 is 122013.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2762244 + 28259856 = 1662^2 + 5316^2 .

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 17 ways as a sum of consecutive naturals, for example, 16335 + ... + 18134.

Almost surely, 231022100 is an apocalyptic number.

31022100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31022100 is an abundant number, since it is smaller than the sum of its proper divisors (66217770).

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

31022100 is a wasteful number, since it uses less digits than its factorization.

31022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34489 (or 34479 counting only the distinct ones).

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

The square root of 31022100 is about 5569.7486478296. The cubic root of 31022100 is about 314.2126975201.

Adding to 31022100 its reverse (122013), we get a palindrome (31144113).

The spelling of 31022100 in words is "thirty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 34469 68938 103407 137876 172345 206814 310221 344690 413628 517035 620442 689380 861725 1034070 1240884 1551105 1723450 2068140 2585175 3102210 3446900 5170350 6204420 7755525 10340700 15511050 31022100