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103112021012 = 227111347335441
BaseRepresentation
bin110000000000111110…
…1001001010000010100
3100212011001110101112012
41200001331021100110
53142133134133022
6115211412243352
710310132501030
oct1400175112024
9325131411465
10103112021012
113a8030585a0
1217b98010558
1399534861b0
144dc24a71c0
152a37559de2
hex1801f49414

103112021012 has 96 divisors (see below), whose sum is σ = 242372922624. Its totient is φ = 37068595200.

The previous prime is 103112021009. The next prime is 103112021137. The reversal of 103112021012 is 210120211301.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 18948212 + ... + 18953652.

It is an arithmetic number, because the mean of its divisors is an integer number (2524717944).

Almost surely, 2103112021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121186461312).

103112021012 is an abundant number, since it is smaller than the sum of its proper divisors (139260901612).

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

103112021012 is a wasteful number, since it uses less digits than its factorization.

103112021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 103112021012 its reverse (210120211301), we get a palindrome (313232232313).

The spelling of 103112021012 in words is "one hundred three billion, one hundred twelve million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 4733 5441 9466 10882 18932 21764 33131 38087 52063 59851 61529 66262 70733 76174 104126 119702 123058 132524 141466 152348 208252 239404 246116 282932 364441 418957 430703 495131 676819 728882 778063 837914 861406 990262 1353638 1457764 1556126 1675828 1722812 1980524 2707276 3112252 4737733 5446441 9475466 10892882 18950932 21785764 25752253 51504506 103009012 180265771 283274783 334779289 360531542 566549566 669558578 721063084 1133099132 1339117156 1982923481 2343455023 3682572179 3965846962 4686910046 7365144358 7931693924 9373820092 14730288716 25778005253 51556010506 103112021012