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21223332120132 = 223219726911124809
BaseRepresentation
bin1001101001101011100010…
…01011000000011001000100
32210010221010111200010101200
410310311301023000121010
510240210341010321012
6113045510355022500
74320222645332532
oct464656113003104
983127114603350
1021223332120132
11684284576633a
122469282b9aa30
13bac4756c368c
14535301409152
1526c1030d73dc
hex134d712c0644

21223332120132 has 72 divisors (see below), whose sum is σ = 54120643176600. Its totient is φ = 7012366975488.

The previous prime is 21223332120127. The next prime is 21223332120181. The reversal of 21223332120132 is 23102123332212.

21223332120132 is a `hidden beast` number, since 2 + 122 + 3 + 332 + 1 + 201 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208680857856 + 21014651262276 = 456816^2 + 4584174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21223332120096 and 21223332120105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654657 + ... + 7470152.

It is an arithmetic number, because the mean of its divisors is an integer number (751675599675).

Almost surely, 221223332120132 is an apocalyptic number.

It is an amenable number.

21223332120132 is an abundant number, since it is smaller than the sum of its proper divisors (32897311056468).

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

21223332120132 is a wasteful number, since it uses less digits than its factorization.

21223332120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125285 (or 11125280 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21223332120132 its reverse (23102123332212), we get a palindrome (44325455452344).

The spelling of 21223332120132 in words is "twenty-one trillion, two hundred twenty-three billion, three hundred thirty-two million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 269 394 538 591 788 807 1076 1182 1614 1773 2364 2421 3228 3546 4842 7092 9684 52993 105986 158979 211972 317958 476937 635916 953874 1907748 11124809 22249618 33374427 44499236 66748854 100123281 133497708 200246562 400493124 2191587373 2992573621 4383174746 5985147242 6574762119 8766349492 8977720863 11970294484 13149524238 17955441726 19724286357 26299048476 26933162589 35910883452 39448572714 53866325178 78897145428 107732650356 589537003337 1179074006674 1768611010011 2358148013348 3537222020022 5305833030033 7074444040044 10611666060066 21223332120132