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21272120454 = 23133110187103
BaseRepresentation
bin10011110011111010…
…101100110010000110
32000220111020200110010
4103303322230302012
5322031130323304
613434451211050
71352100016614
oct236372546206
960814220403
1021272120454
119026614a42
124157ba6a86
132010100b30
14105b22a6b4
158477a0789
hex4f3eacc86

21272120454 has 64 divisors (see below), whose sum is σ = 47763652608. Its totient is φ = 6271344000.

The previous prime is 21272120449. The next prime is 21272120497. The reversal of 21272120454 is 45402127212.

It is a super-2 number, since 2×212721204542 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200667 + ... + 287769.

It is an arithmetic number, because the mean of its divisors is an integer number (746307072).

Almost surely, 221272120454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21272120454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23881826304).

21272120454 is an abundant number, since it is smaller than the sum of its proper divisors (26491532154).

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

21272120454 is a wasteful number, since it uses less digits than its factorization.

21272120454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87253.

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 21272120454 its reverse (45402127212), we get a palindrome (66674247666).

The spelling of 21272120454 in words is "twenty-one billion, two hundred seventy-two million, one hundred twenty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 101 186 202 303 403 606 806 1209 1313 2418 2626 3131 3939 6262 7878 9393 18786 40703 81406 87103 122109 174206 244218 261309 522618 1132339 2264678 2700193 3397017 5400386 6794034 8100579 8797403 16201158 17594806 26392209 35102509 52784418 70205018 105307527 114366239 210615054 228732478 272719493 343098717 545438986 686197434 818158479 1636316958 3545353409 7090706818 10636060227 21272120454