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103220100 = 223252114689
BaseRepresentation
bin1100010011100…
…00001110000100
321012020010100200
412021300032010
5202411020400
614124210500
72362233144
oct611601604
9235203320
10103220100
11532a0875
122a699a30
13185003a9
14d9cc924
1590ddb00
hex6270384

103220100 has 54 divisors (see below), whose sum is σ = 323540490. Its totient is φ = 27525120.

The previous prime is 103220099. The next prime is 103220119. The reversal of 103220100 is 1022301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 102941316 = 528^2 + 10146^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56445 + ... + 58244.

Almost surely, 2103220100 is an apocalyptic number.

103220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220100 is an abundant number, since it is smaller than the sum of its proper divisors (220320390).

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

103220100 is a wasteful number, since it uses less digits than its factorization.

103220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114709 (or 114699 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103220100 is about 10159.7293271032. The cubic root of 103220100 is about 469.0884702087.

Adding to 103220100 its reverse (1022301), we get a palindrome (104242401).

The spelling of 103220100 in words is "one hundred three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 114689 229378 344067 458756 573445 688134 1032201 1146890 1376268 1720335 2064402 2293780 2867225 3440670 4128804 5161005 5734450 6881340 8601675 10322010 11468900 17203350 20644020 25805025 34406700 51610050 103220100