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20312220111012 = 22334316972577409
BaseRepresentation
bin1001001111001010011101…
…01010100001000010100100
32122220211101112200111022000
410213211032222201002210
510130243411322023022
6111111145522405300
74164336515126124
oct447451652410244
978824345614260
1020312220111012
116521400794635
122340789500830
13b44584a5325b
1450318c316c84
1525357a2936ac
hex12794eaa10a4

20312220111012 has 96 divisors (see below), whose sum is σ = 53917767657600. Its totient is φ = 6609381359616.

The previous prime is 20312220110933. The next prime is 20312220111019. The reversal of 20312220111012 is 21011102221302.

20312220111012 is a `hidden beast` number, since 20 + 312 + 220 + 1 + 110 + 1 + 2 = 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 (20312220111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6592164 + ... + 9169572.

It is an arithmetic number, because the mean of its divisors is an integer number (561643413100).

Almost surely, 220312220111012 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 20312220111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958883828800).

20312220111012 is an abundant number, since it is smaller than the sum of its proper divisors (33605547546588).

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

20312220111012 is a wasteful number, since it uses less digits than its factorization.

20312220111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579162 (or 2579154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20312220111012 its reverse (21011102221302), we get a palindrome (41323322332314).

The spelling of 20312220111012 in words is "twenty trillion, three hundred twelve billion, two hundred twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 1697 2322 3394 4644 5091 6788 10182 15273 20364 30546 45819 61092 72971 91638 145942 183276 218913 291884 437826 656739 875652 1313478 1970217 2577409 2626956 3940434 5154818 7732227 7880868 10309636 15464454 23196681 30928908 46393362 69590043 92786724 110828587 139180086 221657174 278360172 332485761 443314348 664971522 997457283 1329943044 1994914566 2992371849 3989829132 4373863073 5984743698 8747726146 11969487396 13121589219 17495452292 26243178438 39364767657 52486356876 78729535314 118094302971 157459070628 188076112139 236188605942 376152224278 472377211884 564228336417 752304448556 1128456672834 1692685009251 2256913345668 3385370018502 5078055027753 6770740037004 10156110055506 20312220111012