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212422440021 = 31189181409977
BaseRepresentation
bin1100010111010101011…
…1010011010001010101
3202022022002022000121120
43011311113103101111
511440020121040041
6241330250034153
721230011643211
oct3056527232125
9668262260546
10212422440021
11820a6a25260
1235203a18959
1317053b511bc
14a3d1c65941
1557d3d3c366
hex31755d3455

212422440021 has 64 divisors (see below), whose sum is σ = 315266515200. Its totient is φ = 126152294400.

The previous prime is 212422439989. The next prime is 212422440023. The reversal of 212422440021 is 120044224212.

It is a happy number.

It is not a de Polignac number, because 212422440021 - 25 = 212422439989 is a prime.

It is a super-4 number, since 4×2124224400214 (a number of 46 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212422439973 and 212422440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212422440023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217422685 + ... + 217423661.

It is an arithmetic number, because the mean of its divisors is an integer number (4926039300).

Almost surely, 2212422440021 is an apocalyptic number.

It is an amenable number.

212422440021 is a deficient number, since it is larger than the sum of its proper divisors (102844075179).

212422440021 is a wasteful number, since it uses less digits than its factorization.

212422440021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212422440021 its reverse (120044224212), we get a palindrome (332466664233).

The spelling of 212422440021 in words is "two hundred twelve billion, four hundred twenty-two million, four hundred forty thousand, twenty-one".

Divisors: 1 3 11 33 89 181 267 409 543 977 979 1227 1991 2931 2937 4499 5973 10747 13497 16109 32241 36401 48327 74029 86953 109203 176837 177199 222087 260859 399593 400411 530511 531597 814319 956483 1198779 1201233 1945207 2442957 2869449 4395523 5835621 6588581 13186569 15738493 19765743 35563777 47215479 72326333 72474391 106691331 173123423 216978999 217423173 391201547 519370269 795589663 1173604641 2386768989 6437043637 19311130911 70807480007 212422440021