Search a number
-
+
22130001100 = 22521973159553
BaseRepresentation
bin10100100111000011…
…010000010011001100
32010010021111112110101
4110213003100103030
5330310240013400
614055534420444
71412254622434
oct244703202314
963107445411
1022130001100
119426899409
124357361724
132118a6b10c
1410dd1412c4
15897c5c56a
hex5270d04cc

22130001100 has 72 divisors (see below), whose sum is σ = 51242362640. Its totient is φ = 8271175680.

The previous prime is 22130001071. The next prime is 22130001109. The reversal of 22130001100 is 110003122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22130001109) 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, 58924 + ... + 218476.

Almost surely, 222130001100 is an apocalyptic number.

22130001100 is a gapful number since it is divisible by the number (20) 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 22130001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25621181320).

22130001100 is an abundant number, since it is smaller than the sum of its proper divisors (29112361540).

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

22130001100 is a wasteful number, since it uses less digits than its factorization.

22130001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159659 (or 159652 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 22130001100 its reverse (110003122), we get a palindrome (22240004222).

The spelling of 22130001100 in words is "twenty-two billion, one hundred thirty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 146 190 292 365 380 475 730 950 1387 1460 1825 1900 2774 3650 5548 6935 7300 13870 27740 34675 69350 138700 159553 319106 638212 797765 1595530 3031507 3191060 3988825 6063014 7977650 11647369 12126028 15157535 15955300 23294738 30315070 46589476 58236845 60630140 75787675 116473690 151575350 221300011 232947380 291184225 303150700 442600022 582368450 885200044 1106500055 1164736900 2213000110 4426000220 5532500275 11065000550 22130001100