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103021100 = 225271311321
BaseRepresentation
bin1100010001111…
…11101000101100
321011212000101022
412020333220230
5202333133400
614120033312
72360444030
oct610775054
9234760338
10103021100
1153175306
122a602838
1318460940
14d97a1c0
15909eb85
hex623fa2c

103021100 has 72 divisors (see below), whose sum is σ = 275169888. Its totient is φ = 32601600.

The previous prime is 103021099. The next prime is 103021157. The reversal of 103021100 is 1120301.

It is a super-2 number, since 2×1030211002 = 21226694090420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3440 + ... + 14760.

It is an arithmetic number, because the mean of its divisors is an integer number (3821804).

Almost surely, 2103021100 is an apocalyptic number.

103021100 is a gapful number since it is divisible by the number (10) 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 103021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137584944).

103021100 is an abundant number, since it is smaller than the sum of its proper divisors (172148788).

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

103021100 is a wasteful number, since it uses less digits than its factorization.

103021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11355 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 103021100 is about 10149.9310342485. The cubic root of 103021100 is about 468.7868214038.

Adding to 103021100 its reverse (1120301), we get a palindrome (104141401).

The spelling of 103021100 in words is "one hundred three million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11321 22642 45284 56605 79247 113210 147173 158494 226420 283025 294346 316988 396235 566050 588692 735865 792470 1030211 1132100 1471730 1584940 1981175 2060422 2943460 3679325 3962350 4120844 5151055 7358650 7924700 10302110 14717300 20604220 25755275 51510550 103021100