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100113204 = 2231719231123
BaseRepresentation
bin1011111011110…
…01101100110100
320222101021111110
411331321230310
5201112110304
613533435020
72323643142
oct575715464
9228337443
10100113204
1151569594
122963ba70
13179831a9
14d420592
158bc8289
hex5f79b34

100113204 has 96 divisors (see below), whose sum is σ = 271918080. Its totient is φ = 28435968.

The previous prime is 100113203. The next prime is 100113239. The reversal of 100113204 is 402311001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100113204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88587 + ... + 89709.

It is an arithmetic number, because the mean of its divisors is an integer number (2832480).

Almost surely, 2100113204 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 100113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135959040).

100113204 is an abundant number, since it is smaller than the sum of its proper divisors (171804876).

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

100113204 is a wasteful number, since it uses less digits than its factorization.

100113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100113204 is about 10005.6585990129. The cubic root of 100113204 is about 464.3339661184. Note that the first 3 decimals are identical.

Adding to 100113204 its reverse (402311001), we get a palindrome (502424205).

The spelling of 100113204 in words is "one hundred million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 19 23 34 38 46 51 57 68 69 76 92 102 114 138 204 228 276 323 391 437 646 782 874 969 1123 1173 1292 1311 1564 1748 1938 2246 2346 2622 3369 3876 4492 4692 5244 6738 7429 13476 14858 19091 21337 22287 25829 29716 38182 42674 44574 51658 57273 64011 76364 77487 85348 89148 103316 114546 128022 154974 229092 256044 309948 362729 439093 490751 725458 878186 981502 1088187 1317279 1450916 1472253 1756372 1963004 2176374 2634558 2944506 4352748 5269116 5889012 8342767 16685534 25028301 33371068 50056602 100113204