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213220442112 = 214312233547
BaseRepresentation
bin1100011010010011101…
…1011100000000000000
3202101100200212201200120
43012210323130000000
511443133413121422
6241541354020240
721255541566006
oct3064473340000
9671320781616
10213220442112
1182476421017
12353a7117680
13171502848a2
14a469c30a76
15582de1c45c
hex31a4edc000

213220442112 has 120 divisors (see below), whose sum is σ = 569195819136. Its totient is φ = 70995345408.

The previous prime is 213220442111. The next prime is 213220442143. The reversal of 213220442112 is 211244022312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220442111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60111123 + ... + 60114669.

Almost surely, 2213220442112 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 213220442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284597909568).

213220442112 is an abundant number, since it is smaller than the sum of its proper divisors (355975377024).

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

213220442112 is an equidigital number, since it uses as much as digits as its factorization.

213220442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213220442112 its reverse (211244022312), we get a palindrome (424464464424).

The spelling of 213220442112 in words is "two hundred thirteen billion, two hundred twenty million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1223 1536 2048 2446 3072 3547 3669 4096 4892 6144 7094 7338 8192 9784 10641 12288 14188 14676 16384 19568 21282 24576 28376 29352 39136 42564 49152 56752 58704 78272 85128 113504 117408 156544 170256 227008 234816 313088 340512 454016 469632 626176 681024 908032 939264 1252352 1362048 1816064 1878528 2504704 2724096 3632128 3757056 4337981 5009408 5448192 7264256 7514112 8675962 10018816 10896384 13013943 14528512 15028224 17351924 20037632 21792768 26027886 29057024 30056448 34703848 43585536 52055772 58114048 60112896 69407696 87171072 104111544 138815392 174342144 208223088 277630784 416446176 555261568 832892352 1110523136 1665784704 2221046272 3331569408 4442092544 6663138816 8884185088 13326277632 17768370176 26652555264 35536740352 53305110528 71073480704 106610221056 213220442112