Search a number
-
+
2133322221132 = 223459111598777
BaseRepresentation
bin11111000010110011111…
…010011100011001001100
321112221110220010102020000
4133002303322130121030
5234423020442034012
64312011254524300
7310061466454224
oct37026372343114
97487426112200
102133322221132
11752811861913
122a5551366690
1312622c7cb60b
147537927b084
153a75c832ddc
hex1f0b3e9c64c

2133322221132 has 60 divisors (see below), whose sum is σ = 5671449897960. Its totient is φ = 699054732864.

The previous prime is 2133322221101. The next prime is 2133322221161. The reversal of 2133322221132 is 2311222233312.

2133322221132 is a `hidden beast` number, since 213 + 332 + 2 + 2 + 2 + 113 + 2 = 666.

It is a super-2 number, since 2×21333222211322 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133322221096 and 2133322221105.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55780273 + ... + 55818504.

It is an arithmetic number, because the mean of its divisors is an integer number (94524164966).

Almost surely, 22133322221132 is an apocalyptic number.

It is an amenable number.

2133322221132 is an abundant number, since it is smaller than the sum of its proper divisors (3538127676828).

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

2133322221132 is a wasteful number, since it uses less digits than its factorization.

2133322221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111598852 (or 111598841 counting only the distinct ones).

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

Adding to 2133322221132 its reverse (2311222233312), we get a palindrome (4444544454444).

The spelling of 2133322221132 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 3186 4779 6372 9558 19116 111598777 223197554 334796331 446395108 669592662 1004388993 1339185324 2008777986 3013166979 4017555972 6026333958 6584327843 9039500937 12052667916 13168655686 18079001874 19752983529 26337311372 36158003748 39505967058 59258950587 79011934116 118517901174 177776851761 237035802348 355553703522 533330555283 711107407044 1066661110566 2133322221132