Search a number
-
+
100010989110 = 23567118142131
BaseRepresentation
bin101110100100100011…
…1101001011000110110
3100120010221022122110210
41131021013221120312
53114310303122420
6113535554330250
710140236244504
oct1351107513066
9316127278423
10100010989110
113946166140a
1217471589986
13957ab89586
144baa6c1674
1529051aa9e0
hex17491e9636

100010989110 has 64 divisors (see below), whose sum is σ = 243820917504. Its totient is φ = 26248675200.

The previous prime is 100010989049. The next prime is 100010989123. The reversal of 100010989110 is 11989010001.

It is a happy number.

100010989110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2352745 + ... + 2394875.

It is an arithmetic number, because the mean of its divisors is an integer number (3809701836).

Almost surely, 2100010989110 is an apocalyptic number.

100010989110 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 100010989110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121910458752).

100010989110 is an abundant number, since it is smaller than the sum of its proper divisors (143809928394).

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

100010989110 is a wasteful number, since it uses less digits than its factorization.

100010989110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43389.

The product of its (nonzero) digits is 648, while the sum is 30.

Adding to 100010989110 its reverse (11989010001), we get a palindrome (111999999111).

The spelling of 100010989110 in words is "one hundred billion, ten million, nine hundred eighty-nine thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1181 2010 2362 3543 5905 7086 11810 17715 35430 42131 79127 84262 126393 158254 210655 237381 252786 395635 421310 474762 631965 791270 1186905 1263930 2373810 2822777 5645554 8468331 14113885 16936662 28227770 42341655 49756711 84683310 99513422 149270133 248783555 298540266 497567110 746350665 1492701330 3333699637 6667399274 10001098911 16668498185 20002197822 33336996370 50005494555 100010989110