Search a number
-
+
21112377642 = 232101109106541
BaseRepresentation
bin10011101010011001…
…010101000100101010
32000111100122220111200
4103222121111010222
5321214232041032
613410543305030
71345120151256
oct235231250452
960440586450
1021112377642
118a54428894
1241125ab176
131cb5ca0465
141043d27266
1583874947c
hex4ea65512a

21112377642 has 48 divisors (see below), whose sum is σ = 46620648360. Its totient is φ = 6903792000.

The previous prime is 21112377623. The next prime is 21112377653. The reversal of 21112377642 is 24677321112.

21112377642 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 3 + 7 + 7 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19446023601 + 1666354041 = 139449^2 + 40821^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21112377597 and 21112377606.

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, 144892 + ... + 251432.

Almost surely, 221112377642 is an apocalyptic number.

21112377642 is an abundant number, since it is smaller than the sum of its proper divisors (25508270718).

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

21112377642 is a wasteful number, since it uses less digits than its factorization.

21112377642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106759 (or 106756 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

Adding to 21112377642 its reverse (24677321112), we get a palindrome (45789698754).

The spelling of 21112377642 in words is "twenty-one billion, one hundred twelve million, three hundred seventy-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 101 109 202 218 303 327 606 654 909 981 1818 1962 11009 22018 33027 66054 99081 106541 198162 213082 319623 639246 958869 1917738 10760641 11612969 21521282 23225938 32281923 34838907 64563846 69677814 96845769 104516721 193691538 209033442 1172909869 2345819738 3518729607 7037459214 10556188821 21112377642