Search a number
-
+
100998942 = 2311312647
BaseRepresentation
bin1100000010100…
…01111100011110
321001001021111120
412001101330132
5201323431232
614004431410
72334322362
oct601217436
9231037446
10100998942
1152014000
12299a8566
1317c033b5
14d5b12a2
158d0092c
hex6051f1e

100998942 has 32 divisors (see below), whose sum is σ = 222200064. Its totient is φ = 30603320.

The previous prime is 100998923. The next prime is 100998971. The reversal of 100998942 is 249899001.

It is a junction number, because it is equal to n+sod(n) for n = 100998894 and 100998903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (6943752).

Almost surely, 2100998942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100998942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111100032).

100998942 is an abundant number, since it is smaller than the sum of its proper divisors (121201122).

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

100998942 is a wasteful number, since it uses less digits than its factorization.

100998942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 100998942 is about 10049.8229835157. The cubic root of 100998942 is about 465.6993246638.

The spelling of 100998942 in words is "one hundred million, nine hundred ninety-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 12647 25294 37941 75882 139117 278234 417351 834702 1530287 3060574 4590861 9181722 16833157 33666314 50499471 100998942