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2113013220 = 2235232815449
BaseRepresentation
bin111110111110010…
…0000010111100100
312110021000012012220
41331330200113210
513311412410340
6545401112340
7103235213253
oct17574402744
95407005186
102113013220
1199481711a
124ab7886b0
132789c60a6
141608b679a
15c5787ed0
hex7df205e4

2113013220 has 96 divisors (see below), whose sum is σ = 6196780800. Its totient is φ = 536954880.

The previous prime is 2113013219. The next prime is 2113013257. The reversal of 2113013220 is 223103112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113013220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385056 + ... + 390504.

It is an arithmetic number, because the mean of its divisors is an integer number (64549800).

Almost surely, 22113013220 is an apocalyptic number.

2113013220 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 2113013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098390400).

2113013220 is an abundant number, since it is smaller than the sum of its proper divisors (4083767580).

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

2113013220 is a wasteful number, since it uses less digits than its factorization.

2113013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2113013220 is about 45967.5235356442. The cubic root of 2113013220 is about 1283.2188720463.

Adding to 2113013220 its reverse (223103112), we get a palindrome (2336116332).

The spelling of 2113013220 in words is "two billion, one hundred thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 281 345 460 562 690 843 1124 1380 1405 1686 2810 3372 4215 5449 5620 6463 8430 10898 12926 16347 16860 19389 21796 25852 27245 32315 32694 38778 54490 64630 65388 77556 81735 96945 108980 125327 129260 163470 193890 250654 326940 375981 387780 501308 626635 751962 1253270 1503924 1531169 1879905 2506540 3062338 3759810 4593507 6124676 7519620 7655845 9187014 15311690 18374028 22967535 30623380 35216887 45935070 70433774 91870140 105650661 140867548 176084435 211301322 352168870 422602644 528253305 704337740 1056506610 2113013220