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100113030 = 2335438623
BaseRepresentation
bin1011111011110…
…01101010000110
320222101021021000
411331321222012
5201112104110
613533434130
72323642503
oct575715206
9228337230
10100113030
1151569446
122963b946
13179830a4
14d4204aa
158bc81c0
hex5f79a86

100113030 has 64 divisors (see below), whose sum is σ = 273208320. Its totient is φ = 26072928.

The previous prime is 100113019. The next prime is 100113047. The reversal of 100113030 is 30311001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7299 + ... + 15921.

It is an arithmetic number, because the mean of its divisors is an integer number (4268880).

Almost surely, 2100113030 is an apocalyptic number.

100113030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136604160).

100113030 is an abundant number, since it is smaller than the sum of its proper divisors (173095290).

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

100113030 is a wasteful number, since it uses less digits than its factorization.

100113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8676 counting only the distinct ones).

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

The square root of 100113030 is about 10005.6499039293. The cubic root of 100113030 is about 464.3336971091. Note that the first 3 decimals are identical.

Adding to 100113030 its reverse (30311001), we get a palindrome (130424031).

It can be divided in two parts, 10011 and 3030, that added together give a triangular number (13041 = T161).

The spelling of 100113030 in words is "one hundred million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 8623 11610 17246 25869 43115 51738 77607 86230 129345 155214 232821 258690 370789 388035 465642 741578 776070 1112367 1164105 1853945 2224734 2328210 3337101 3707890 5561835 6674202 10011303 11123670 16685505 20022606 33371010 50056515 100113030