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13223211012 = 22331118316079
BaseRepresentation
bin11000101000010101…
…00011000000000100
31021010112210201102000
430110022203000010
5204040120223022
610024043145300
7645453303414
oct142412430004
937115721360
1013223211012
115676181170
122690515230
1313296c4b1b
148d6270644
15525d436ac
hex3142a3004

13223211012 has 96 divisors (see below), whose sum is σ = 37425561600. Its totient is φ = 4004186400.

The previous prime is 13223210993. The next prime is 13223211019. The reversal of 13223211012 is 21011232231.

13223211012 is a `hidden beast` number, since 1 + 322 + 321 + 10 + 12 = 666.

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 (13223211019) 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, 2172189 + ... + 2178267.

It is an arithmetic number, because the mean of its divisors is an integer number (389849600).

Almost surely, 213223211012 is an apocalyptic number.

13223211012 is a gapful number since it is divisible by the number (12) 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 13223211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712780800).

13223211012 is an abundant number, since it is smaller than the sum of its proper divisors (24202350588).

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

13223211012 is a wasteful number, since it uses less digits than its factorization.

13223211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7926 counting only the distinct ones).

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

Adding to 13223211012 its reverse (21011232231), we get a palindrome (34234443243).

The spelling of 13223211012 in words is "thirteen billion, two hundred twenty-three million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1831 3662 5493 6079 7324 10986 12158 16479 18237 20141 21972 24316 32958 36474 40282 49437 54711 60423 65916 66869 72948 80564 98874 109422 120846 133738 164133 181269 197748 200607 218844 241692 267476 328266 362538 401214 543807 601821 656532 725076 802428 1087614 1203642 1805463 2175228 2407284 3610926 7221852 11130649 22261298 33391947 44522596 66783894 100175841 122437139 133567788 200351682 244874278 300527523 367311417 400703364 489748556 601055046 734622834 1101934251 1202110092 1469245668 2203868502 3305802753 4407737004 6611605506 13223211012