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220100111140 = 225713443272989
BaseRepresentation
bin1100110011111011111…
…1010010101100100100
3210001010011012010102011
43030332333102230210
512101231112024030
6245040153124004
721621200035060
oct3147677225444
9701104163364
10220100111140
11853868581a8
12367a70b9604
13179a8679070
14a91d7c6aa0
155ad2db7b2a
hex333efd2b24

220100111140 has 96 divisors (see below), whose sum is σ = 570160362240. Its totient is φ = 69500560896.

The previous prime is 220100111093. The next prime is 220100111141. The reversal of 220100111140 is 41111001022.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 220100111140.

It is not an unprimeable number, because it can be changed into a prime (220100111141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669766 + ... + 942754.

It is an arithmetic number, because the mean of its divisors is an integer number (5939170440).

Almost surely, 2220100111140 is an apocalyptic number.

220100111140 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 220100111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285080181120).

220100111140 is an abundant number, since it is smaller than the sum of its proper divisors (350060251100).

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

220100111140 is a wasteful number, since it uses less digits than its factorization.

220100111140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273461 (or 273459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220100111140 its reverse (41111001022), we get a palindrome (261211112162).

The spelling of 220100111140 in words is "two hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 443 455 886 910 1772 1820 2215 3101 4430 5759 6202 8860 11518 12404 15505 23036 28795 31010 40313 57590 62020 80626 115180 161252 201565 272989 403130 545978 806260 1091956 1364945 1910923 2729890 3548857 3821846 5459780 7097714 7643692 9554615 14195428 17744285 19109230 24841999 35488570 38218460 49683998 70977140 99367996 120934127 124209995 241868254 248419990 483736508 496839980 604670635 846538889 1209341270 1572143651 1693077778 2418682540 3144287302 3386155556 4232694445 6288574604 7860718255 8465388890 11005005557 15721436510 16930777780 22010011114 31442873020 44020022228 55025027785 110050055570 220100111140