Search a number
-
+
220113143100 = 223252280387253
BaseRepresentation
bin1100110011111111000…
…1000000010100111100
3210001011001201012220100
43030333301000110330
512101242431034400
6245041340321100
721621415563114
oct3147761002474
9701131635810
10220113143100
1185393149314
12367ab543190
13179ab28c996
14a92141a044
155ad40de100
hex333fc4053c

220113143100 has 108 divisors (see below), whose sum is σ = 690186469336. Its totient is φ = 58675224960.

The previous prime is 220113143059. The next prime is 220113143113. The reversal of 220113143100 is 1341311022.

220113143100 is a `hidden beast` number, since 2 + 201 + 1 + 31 + 431 + 0 + 0 = 666.

220113143100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2201131431002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 2479074 + ... + 2566326.

Almost surely, 2220113143100 is an apocalyptic number.

220113143100 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 220113143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345093234668).

220113143100 is an abundant number, since it is smaller than the sum of its proper divisors (470073326236).

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

220113143100 is a wasteful number, since it uses less digits than its factorization.

220113143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90076 (or 90066 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220113143100 its reverse (1341311022), we get a palindrome (221454454122).

The spelling of 220113143100 in words is "two hundred twenty billion, one hundred thirteen million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2803 5606 8409 11212 14015 16818 25227 28030 33636 42045 50454 56060 70075 84090 87253 100908 126135 140150 168180 174506 210225 252270 261759 280300 349012 420450 436265 504540 523518 630675 785277 840900 872530 1047036 1261350 1308795 1570554 1745060 2181325 2522700 2617590 3141108 3926385 4362650 5235180 6543975 7852770 8725300 13087950 15705540 19631925 26175900 39263850 78527700 244570159 489140318 733710477 978280636 1222850795 1467420954 2201131431 2445701590 2934841908 3668552385 4402262862 4891403180 6114253975 7337104770 8804525724 11005657155 12228507950 14674209540 18342761925 22011314310 24457015900 36685523850 44022628620 55028285775 73371047700 110056571550 220113143100