Search a number
-
+
16106223100 = 22521117981799
BaseRepresentation
bin11110000000000000…
…10111010111111100
31112120110200220111111
433000000113113330
5230441143114400
611222112131404
71110061431442
oct170000272774
945513626444
1016106223100
1169155a7890
123155b36b64
131698a98436
14acb102b92
15643ec93ba
hex3c00175fc

16106223100 has 72 divisors (see below), whose sum is σ = 38341296000. Its totient is φ = 5824017600.

The previous prime is 16106223097. The next prime is 16106223103. The reversal of 16106223100 is 132260161.

It is an interprime number because it is at equal distance from previous prime (16106223097) and next prime (16106223103).

It is a super-2 number, since 2×161062231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16106223103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156001 + ... + 237799.

It is an arithmetic number, because the mean of its divisors is an integer number (532518000).

Almost surely, 216106223100 is an apocalyptic number.

16106223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16106223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170648000).

16106223100 is an abundant number, since it is smaller than the sum of its proper divisors (22235072900).

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

16106223100 is a wasteful number, since it uses less digits than its factorization.

16106223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82003 (or 81996 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 16106223100 its reverse (132260161), we get a palindrome (16238483261).

The spelling of 16106223100 in words is "sixteen billion, one hundred six million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 179 220 275 358 550 716 895 1100 1790 1969 3580 3938 4475 7876 8950 9845 17900 19690 39380 49225 81799 98450 163598 196900 327196 408995 817990 899789 1635980 1799578 2044975 3599156 4089950 4498945 8179900 8997890 14642021 17995780 22494725 29284042 44989450 58568084 73210105 89978900 146420210 161062231 292840420 322124462 366050525 644248924 732101050 805311155 1464202100 1610622310 3221244620 4026555775 8053111550 16106223100