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103112262 = 2321131107157
BaseRepresentation
bin1100010010101…
…01111001000110
321012000122102200
412021111321012
5202344043022
614122015330
72361303561
oct611257106
9235018380
10103112262
1153227850
122a647546
1318493296
14d9a14d8
1590bbbac
hex6255e46

103112262 has 96 divisors (see below), whose sum is σ = 255550464. Its totient is φ = 29764800.

The previous prime is 103112239. The next prime is 103112299. The reversal of 103112262 is 262211301.

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 47 ways as a sum of consecutive naturals, for example, 656688 + ... + 656844.

It is an arithmetic number, because the mean of its divisors is an integer number (2661984).

Almost surely, 2103112262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127775232).

103112262 is an abundant number, since it is smaller than the sum of its proper divisors (152438202).

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

103112262 is a wasteful number, since it uses less digits than its factorization.

103112262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103112262 is about 10154.4208106617. The cubic root of 103112262 is about 468.9250550441.

Adding to 103112262 its reverse (262211301), we get a palindrome (365323563).

The spelling of 103112262 in words is "one hundred three million, one hundred twelve thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 107 157 186 198 214 279 314 321 341 471 558 642 682 942 963 1023 1177 1413 1727 1926 2046 2354 2826 3069 3317 3454 3531 4867 5181 6138 6634 7062 9734 9951 10362 10593 14601 15543 16799 19902 21186 29202 29853 31086 33598 36487 43803 50397 53537 59706 72974 87606 100794 107074 109461 151191 160611 184789 218922 302382 321222 328383 369578 481833 520769 554367 656766 963666 1041538 1108734 1562307 1663101 3124614 3326202 4686921 5728459 9373842 11456918 17185377 34370754 51556131 103112262