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20213131233132 = 22331783132642539
BaseRepresentation
bin1001001100010001111001…
…00000011100011101101100
32122120100121212110221122000
410212020330200130131230
510122132443043430012
6110553441224052300
74154231143431255
oct446107440343554
978510555427560
1020213131233132
116493382698022
122325534904090
13b38122c32736
144dc46c2a9b2c
15250bcb030ddc
hex12623c81c76c

20213131233132 has 96 divisors (see below), whose sum is σ = 56155545734400. Its totient is φ = 6264972354816.

The previous prime is 20213131233103. The next prime is 20213131233151. The reversal of 20213131233132 is 23133213131202.

20213131233132 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 31 + 312 + 3 + 313 + 2 = 666.

20213131233132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20213131233096 and 20213131233105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66168882 + ... + 66473657.

It is an arithmetic number, because the mean of its divisors is an integer number (584953601400).

Almost surely, 220213131233132 is an apocalyptic number.

It is an amenable number.

20213131233132 is an abundant number, since it is smaller than the sum of its proper divisors (35942414501268).

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

20213131233132 is a wasteful number, since it uses less digits than its factorization.

20213131233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132642652 (or 132642644 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20213131233132 its reverse (23133213131202), we get a palindrome (43346344364334).

The spelling of 20213131233132 in words is "twenty trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 76194 152388 132642539 265285078 397927617 530570156 795855234 1193782851 1591710468 2254923163 2387565702 3581348553 4509846326 4775131404 6764769489 7162697106 9019692652 11009330737 13529538978 14325394212 20294308467 22018661474 27059077956 33027992211 40588616934 44037322948 60882925401 66055984422 81177233868 99083976633 121765850802 132111968844 187158622529 198167953266 243531701604 297251929899 374317245058 396335906532 561475867587 594503859798 748634490116 1122951735174 1189007719596 1684427602761 2245903470348 3368855205522 5053282808283 6737710411044 10106565616566 20213131233132