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20213422431202 = 27111354311859071
BaseRepresentation
bin1001001100010010011011…
…10111010001101111100010
32122120101101011102100021201
410212021031313101233202
510122134042120244302
6110553530145311414
74154241310531240
oct446111567215742
978511334370251
1020213422431202
116493511aaa490
1223255b633556a
13b3816b36b0a0
144dc498c2b790
15250be68a1c87
hex12624ddd1be2

20213422431202 has 64 divisors (see below), whose sum is σ = 40717067747328. Its totient is φ = 7268220072000.

The previous prime is 20213422431199. The next prime is 20213422431203.

20213422431202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20213422431203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9943327 + ... + 11802397.

It is an arithmetic number, because the mean of its divisors is an integer number (636204183552).

Almost surely, 220213422431202 is an apocalyptic number.

20213422431202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20213422431202 is an abundant number, since it is smaller than the sum of its proper divisors (20503645316126).

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

20213422431202 is a wasteful number, since it uses less digits than its factorization.

20213422431202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864535.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2021342 and 2431202, that added together give a palindrome (4452544).

The spelling of 20213422431202 in words is "twenty trillion, two hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 5431 10862 38017 59741 70603 76034 119482 141206 418187 494221 776633 836374 988442 1553266 1859071 3718142 5436431 10872862 13013497 20449781 24167923 26026994 40899562 48335846 143148467 169175461 265847153 286296934 338350922 531694306 1860930071 3721860142 10096614601 20193229202 70676302207 111062760611 131255989813 141352604414 222125521222 262511979626 777439324277 918791928691 1443815887943 1554878648554 1837583857382 2887631775886 10106711215601 20213422431202