Search a number
-
+
100110101014 = 27211457203209
BaseRepresentation
bin101110100111100000…
…1101110101000010110
3100120101211211001110001
41131033001232220112
53120011141213024
6113553454521514
710142551550500
oct1351701565026
9316354731401
10100110101014
11395025a6680
121749a80629a
13959557ba81
144bb9920d70
15290dc37244
hex174f06ea16

100110101014 has 48 divisors (see below), whose sum is σ = 190980009360. Its totient is φ = 38918396160.

The previous prime is 100110101011. The next prime is 100110101027. The reversal of 100110101014 is 410101011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391042 + ... + 594250.

It is an arithmetic number, because the mean of its divisors is an integer number (3978750195).

Almost surely, 2100110101014 is an apocalyptic number.

100110101014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100110101014 is a deficient number, since it is larger than the sum of its proper divisors (90869908346).

100110101014 is a wasteful number, since it uses less digits than its factorization.

100110101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203693 (or 203686 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110101014 its reverse (410101011001), we get a palindrome (510211112015).

The spelling of 100110101014 in words is "one hundred billion, one hundred ten million, one hundred one thousand, fourteen".

Divisors: 1 2 7 11 14 22 49 77 98 154 457 539 914 1078 3199 5027 6398 10054 22393 35189 44786 70378 203209 246323 406418 492646 1422463 2235299 2844926 4470598 9957241 15647093 19914482 31294186 92866513 109529651 185733026 219059302 650065591 1021531643 1300131182 2043063286 4550459137 7150721501 9100918274 14301443002 50055050507 100110101014