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103101012 = 223675051
BaseRepresentation
bin1100010010100…
…11001001010100
321012000002000000
412021103021110
5202343213022
614121451300
72361226020
oct611231124
9235002000
10103101012
115321a353
122a640b30
131848b121
14d99b380
1590b86ac
hex6253254

103101012 has 84 divisors (see below), whose sum is σ = 309222816. Its totient is φ = 29451600.

The previous prime is 103101001. The next prime is 103101077. The reversal of 103101012 is 210101301.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103100985 and 103101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17887 + ... + 22937.

It is an arithmetic number, because the mean of its divisors is an integer number (3681224).

Almost surely, 2103101012 is an apocalyptic number.

103101012 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 103101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154611408).

103101012 is an abundant number, since it is smaller than the sum of its proper divisors (206121804).

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

103101012 is an equidigital number, since it uses as much as digits as its factorization.

103101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 103101012 is about 10153.8668496293. The cubic root of 103101012 is about 468.9080004971.

Adding to 103101012 its reverse (210101301), we get a palindrome (313202313).

The spelling of 103101012 in words is "one hundred three million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5051 5103 6804 10102 10206 15153 20204 20412 30306 35357 45459 60612 70714 90918 106071 136377 141428 181836 212142 272754 318213 409131 424284 545508 636426 818262 954639 1227393 1272852 1636524 1909278 2454786 2863917 3682179 3818556 4909572 5727834 7364358 8591751 11455668 14728716 17183502 25775253 34367004 51550506 103101012