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1031114112 = 27371672297
BaseRepresentation
bin111101011101011…
…000110110000000
32122212020000122120
4331131120312000
54102431122422
6250152204240
734360216410
oct7535306600
92585200576
101031114112
1148a045326
12249399680
131358122c2
149ad2a640
15607ca45c
hex3d758d80

1031114112 has 128 divisors (see below), whose sum is σ = 3150282240. Its totient is φ = 292712448.

The previous prime is 1031114101. The next prime is 1031114177. The reversal of 1031114112 is 2114111301.

1031114112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1031114091 and 1031114100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447748 + ... + 450044.

It is an arithmetic number, because the mean of its divisors is an integer number (24611580).

Almost surely, 21031114112 is an apocalyptic number.

1031114112 is a gapful number since it is divisible by the number (12) 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 1031114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575141120).

1031114112 is an abundant number, since it is smaller than the sum of its proper divisors (2119168128).

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

1031114112 is a wasteful number, since it uses less digits than its factorization.

1031114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1031114112 is about 32110.9656036688. The cubic root of 1031114112 is about 1010.2656269619.

Adding to 1031114112 its reverse (2114111301), we get a palindrome (3145225413).

The spelling of 1031114112 in words is "one billion, thirty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 167 168 192 224 334 336 384 448 501 668 672 896 1002 1169 1336 1344 2004 2297 2338 2672 2688 3507 4008 4594 4676 5344 6891 7014 8016 9188 9352 10688 13782 14028 16032 16079 18376 18704 21376 27564 28056 32064 32158 36752 37408 48237 55128 56112 64128 64316 73504 74816 96474 110256 112224 128632 147008 149632 192948 220512 224448 257264 294016 383599 385896 441024 448896 514528 767198 771792 882048 1029056 1150797 1534396 1543584 2058112 2301594 2685193 3068792 3087168 4603188 5370386 6137584 6174336 8055579 9206376 10740772 12275168 16111158 18412752 21481544 24550336 32222316 36825504 42963088 49100672 64444632 73651008 85926176 128889264 147302016 171852352 257778528 343704704 515557056 1031114112