Search a number
-
+
212120104635 = 325231230116661
BaseRepresentation
bin1100010110001101010…
…1111110111010111011
3202021112000101210102200
43011203111332322323
511433410221322020
6241240250001243
721216351066015
oct3054325767273
9667460353380
10212120104635
1181a612a61aa
123513a716223
131700631641a
14a3a3a451b5
1557b751b590
hex316357eebb

212120104635 has 48 divisors (see below), whose sum is σ = 383714929728. Its totient is φ = 108196704000.

The previous prime is 212120104619. The next prime is 212120104667. The reversal of 212120104635 is 536401021212.

212120104635 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 20 + 1 + 0 + 4 + 635 = 666.

It is not a de Polignac number, because 212120104635 - 24 = 212120104619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212120104599 and 212120104608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12723205 + ... + 12739865.

It is an arithmetic number, because the mean of its divisors is an integer number (7994061036).

Almost surely, 2212120104635 is an apocalyptic number.

212120104635 is a deficient number, since it is larger than the sum of its proper divisors (171594825093).

212120104635 is a wasteful number, since it uses less digits than its factorization.

212120104635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28996 (or 28993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 212120104635 its reverse (536401021212), we get a palindrome (748521125847).

The spelling of 212120104635 in words is "two hundred twelve billion, one hundred twenty million, one hundred four thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 12301 16661 36903 49983 61505 83305 110709 149949 184515 249915 282923 383203 553545 749745 848769 1149609 1414615 1916015 2546307 3448827 4243845 5748045 12731535 17244135 204946961 614840883 1024734805 1844522649 3074204415 4713780103 9222613245 14141340309 23568900515 42424020927 70706701545 212120104635