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1031368512 = 263173110193
BaseRepresentation
bin111101011110010…
…110111101000000
32122212200221121210
4331132112331000
54103012243022
6250201450120
734362326166
oct7536267500
92585627553
101031368512
1148a1a9479
122494a0940
131358a1035
149ad95236
156082aa0c
hex3d796f40

1031368512 has 112 divisors (see below), whose sum is σ = 2982845952. Its totient is φ = 313098240.

The previous prime is 1031368501. The next prime is 1031368519. The reversal of 1031368512 is 2158631301.

It is a self number, because there is not a number n which added to its sum of digits gives 1031368512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031368519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96088 + ... + 106280.

Almost surely, 21031368512 is an apocalyptic number.

1031368512 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 1031368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491422976).

1031368512 is an abundant number, since it is smaller than the sum of its proper divisors (1951477440).

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

1031368512 is a wasteful number, since it uses less digits than its factorization.

1031368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1031368512 is about 32114.9266229895. The cubic root of 1031368512 is about 1010.3487055266.

Adding to 1031368512 its reverse (2158631301), we get a palindrome (3189999813).

The spelling of 1031368512 in words is "one billion, thirty-one million, three hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 186 192 204 248 272 372 408 496 527 544 744 816 992 1054 1088 1488 1581 1632 1984 2108 2976 3162 3264 4216 5952 6324 8432 10193 12648 16864 20386 25296 30579 33728 40772 50592 61158 81544 101184 122316 163088 173281 244632 315983 326176 346562 489264 519843 631966 652352 693124 947949 978528 1039686 1263932 1386248 1895898 1957056 2079372 2527864 2772496 3791796 4158744 5055728 5371711 5544992 7583592 8317488 10111456 10743422 11089984 15167184 16115133 16634976 20222912 21486844 30334368 32230266 33269952 42973688 60668736 64460532 85947376 128921064 171894752 257842128 343789504 515684256 1031368512