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4213220112 = 243273487823
BaseRepresentation
bin1111101100100000…
…1010001100010000
3101212121220202110100
43323020022030100
532112041020422
61534023532400
7206256531363
oct37310121420
911777822410
104213220112
1118722866a2
12996bba100
13521b5716a
142bd7b80da
15199d417ac
hexfb20a310

4213220112 has 120 divisors (see below), whose sum is σ = 11991784064. Its totient is φ = 1380644352.

The previous prime is 4213220101. The next prime is 4213220117. The reversal of 4213220112 is 2110223124.

It is a happy number.

4213220112 is a `hidden beast` number, since 421 + 32 + 201 + 12 = 666.

It is a super-2 number, since 2×42132201122 = 35502447424322585088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4213220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5118933 + ... + 5119755.

Almost surely, 24213220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995892032).

4213220112 is an abundant number, since it is smaller than the sum of its proper divisors (7778563952).

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

4213220112 is a wasteful number, since it uses less digits than its factorization.

4213220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4213220112 is about 64909.3222272425. The cubic root of 4213220112 is about 1615.1197068978.

Adding to 4213220112 its reverse (2110223124), we get a palindrome (6323443236).

The spelling of 4213220112 in words is "four billion, two hundred thirteen million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 487 584 657 823 876 974 1168 1314 1461 1646 1752 1948 2469 2628 2922 3292 3504 3896 4383 4938 5256 5844 6584 7407 7792 8766 9876 10512 11688 13168 14814 17532 19752 23376 29628 35064 35551 39504 59256 60079 70128 71102 106653 118512 120158 142204 180237 213306 240316 284408 319959 360474 400801 426612 480632 540711 568816 639918 720948 801602 853224 961264 1081422 1202403 1279836 1441896 1603204 1706448 2162844 2404806 2559672 2883792 3206408 3607209 4325688 4809612 5119344 6412816 7214418 8651376 9619224 14428836 19238448 28857672 29258473 57715344 58516946 87775419 117033892 175550838 234067784 263326257 351101676 468135568 526652514 702203352 1053305028 1404406704 2106610056 4213220112