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31300322112 = 2632191284507
BaseRepresentation
bin11101001001101001…
…010000001101000000
32222210101002002222100
4131021221100031000
51003100340301422
622213522310400
72155436230263
oct351151201500
988711062870
1031300322112
1112302241304
1260964b8400
132c4a8b3877
14172d010cda
15c32d7e7ac
hex749a50340

31300322112 has 84 divisors (see below), whose sum is σ = 90186759936. Its totient is φ = 10378778880.

The previous prime is 31300322099. The next prime is 31300322143. The reversal of 31300322112 is 21122300313.

31300322112 is a `hidden beast` number, since 31 + 300 + 322 + 1 + 12 = 666.

It is a super-2 number, since 2×313003221122 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32238 + ... + 252269.

It is an arithmetic number, because the mean of its divisors is an integer number (1073651904).

Almost surely, 231300322112 is an apocalyptic number.

31300322112 is a gapful number since it is divisible by the number (32) 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 31300322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45093379968).

31300322112 is an abundant number, since it is smaller than the sum of its proper divisors (58886437824).

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

31300322112 is a wasteful number, since it uses less digits than its factorization.

31300322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284716 (or 284703 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31300322112 its reverse (21122300313), we get a palindrome (52422622425).

The spelling of 31300322112 in words is "thirty-one billion, three hundred million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 55008 110016 284507 569014 853521 1138028 1707042 2276056 2560563 3414084 4552112 5121126 6828168 9104224 10242252 13656336 18208448 20484504 27312672 40969008 54340837 54625344 81938016 108681674 163022511 163876032 217363348 326045022 434726696 489067533 652090044 869453392 978135066 1304180088 1738906784 1956270132 2608360176 3477813568 3912540264 5216720352 7825080528 10433440704 15650161056 31300322112