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31300122 = 237367227
BaseRepresentation
bin111011101100…
…1101000011010
32011220012200210
41313121220122
531003100442
63034511550
7530022000
oct167315032
964805623
1031300122
1116739277
12a5955b6
13663b9a9
14422aa70
152b3419c
hex1dd9a1a

31300122 has 64 divisors (see below), whose sum is σ = 74419200. Its totient is φ = 8770608.

The previous prime is 31300099. The next prime is 31300123. The reversal of 31300122 is 22100313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31300098 and 31300107.

It is not an unprimeable number, because it can be changed into a prime (31300123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137773 + ... + 137999.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 231300122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209600).

31300122 is an abundant number, since it is smaller than the sum of its proper divisors (43119078).

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

31300122 is a wasteful number, since it uses less digits than its factorization.

31300122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31300122 is about 5594.6511955617. The cubic root of 31300122 is about 315.1485718894.

Adding to 31300122 its reverse (22100313), we get a palindrome (53400435).

The spelling of 31300122 in words is "thirty-one million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 227 294 343 402 454 469 681 686 938 1029 1362 1407 1589 2058 2814 3178 3283 4767 6566 9534 9849 11123 15209 19698 22246 22981 30418 33369 45627 45962 66738 68943 77861 91254 106463 137886 155722 212926 233583 319389 467166 638778 745241 1490482 2235723 4471446 5216687 10433374 15650061 31300122