Search a number
-
+
100214114 = 27211137151
BaseRepresentation
bin1011111100100…
…10010101100010
320222120101220212
411332102111202
5201123322424
613535534122
72324543300
oct576222542
9228511825
10100214114
1151628390
122968a342
13179ba0c0
14d449270
158be810e
hex5f92562

100214114 has 48 divisors (see below), whose sum is σ = 205462656. Its totient is φ = 36036000.

The previous prime is 100214087. The next prime is 100214129. The reversal of 100214114 is 411412001.

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

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, 10439 + ... + 17589.

It is an arithmetic number, because the mean of its divisors is an integer number (4280472).

Almost surely, 2100214114 is an apocalyptic number.

100214114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100214114 is an abundant number, since it is smaller than the sum of its proper divisors (105248542).

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

100214114 is a wasteful number, since it uses less digits than its factorization.

100214114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 100214114 is about 10010.6999755262. The cubic root of 100214114 is about 464.4899235896.

Adding to 100214114 its reverse (411412001), we get a palindrome (511626115).

The spelling of 100214114 in words is "one hundred million, two hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 7151 14014 14302 50057 78661 92963 100114 157322 185926 350399 550627 650741 700798 1022593 1101254 1301482 2045186 3854389 4555187 7158151 7708778 9110374 14316302 50107057 100214114