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320011224012 = 22345717612273
BaseRepresentation
bin1001010100000100010…
…01111100001111001100
31010121000010120112110000
410222002021330033030
520220340333132022
6403002223044300
732056114344324
oct4520211741714
91117003515400
10320011224012
11113796aa2067
125202b140690
132423b93626c
14116bab0a284
1584ce3e56ac
hex4a8227c3cc

320011224012 has 120 divisors (see below), whose sum is σ = 839508061392. Its totient is φ = 106296883200.

The previous prime is 320011223993. The next prime is 320011224023. The reversal of 320011224012 is 210422110023.

It is a happy number.

It is a super-2 number, since 2×3200112240122 (a number of 24 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 140786908 + ... + 140789180.

Almost surely, 2320011224012 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 320011224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419754030696).

320011224012 is an abundant number, since it is smaller than the sum of its proper divisors (519496837380).

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

320011224012 is a wasteful number, since it uses less digits than its factorization.

320011224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3610 counting only the distinct ones).

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

Adding to 320011224012 its reverse (210422110023), we get a palindrome (530433334035).

The spelling of 320011224012 in words is "three hundred twenty billion, eleven million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 571 761 1142 1522 1713 2273 2283 2284 3044 3426 4546 4566 5139 6819 6849 6852 9092 9132 10278 13638 13698 15417 20457 20547 20556 27276 27396 30834 40914 41094 46251 61371 61641 61668 81828 82188 92502 122742 123282 184113 185004 245484 246564 368226 434531 736452 869062 1297883 1303593 1729753 1738124 2595766 2607186 3459506 3893649 3910779 5189259 5191532 5214372 6919012 7787298 7821558 10378518 11680947 11732337 15567777 15574596 15643116 20757036 23361894 23464674 31135554 35042841 35197011 46703331 46723788 46929348 62271108 70085682 70394022 93406662 105128523 140109993 140171364 140788044 186813324 210257046 280219986 420514092 560439972 987688963 1975377926 2963066889 3950755852 5926133778 8889200667 11852267556 17778401334 26667602001 35556802668 53335204002 80002806003 106670408004 160005612006 320011224012