Search a number
-
+
110021102200 = 235210717412953
BaseRepresentation
bin110011001110111000…
…1001100101001111000
3101111222120010002011001
41212131301030221320
53300310400232300
6122313142014344
710643265636622
oct1463561145170
9344876102131
10110021102200
1142729053549
12193a5a173b4
13a4b49a7c09
145479d17c12
152cdddb516a
hex199dc4ca78

110021102200 has 96 divisors (see below), whose sum is σ = 258425490960. Its totient is φ = 43557350400.

The previous prime is 110021102131. The next prime is 110021102237. The reversal of 110021102200 is 2201120011.

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

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 23 ways as a sum of consecutive naturals, for example, 37255924 + ... + 37258876.

Almost surely, 2110021102200 is an apocalyptic number.

110021102200 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 110021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129212745480).

110021102200 is an abundant number, since it is smaller than the sum of its proper divisors (148404388760).

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

110021102200 is a wasteful number, since it uses less digits than its factorization.

110021102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110021102200 its reverse (2201120011), we get a palindrome (112222222211).

The spelling of 110021102200 in words is "one hundred ten billion, twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 1741 2140 2675 2953 3482 4280 5350 5906 6964 8705 10700 11812 13928 14765 17410 21400 23624 29530 34820 43525 59060 69640 73825 87050 118120 147650 174100 186287 295300 315971 348200 372574 590600 631942 745148 931435 1263884 1490296 1579855 1862870 2527768 3159710 3725740 4657175 5141173 6319420 7451480 7899275 9314350 10282346 12638840 15798550 18628700 20564692 25705865 31597100 37257400 41129384 51411730 63194200 102823460 128529325 205646920 257058650 514117300 550105511 1028234600 1100211022 2200422044 2750527555 4400844088 5501055110 11002110220 13752637775 22004220440 27505275550 55010551100 110021102200