Search a number
-
+
10212214131 = 337891016011
BaseRepresentation
bin10011000001011001…
…00000010101110011
3222100201002020012000
421200230200111303
5131403311323011
64405203105043
7511032250020
oct114054402563
928321066160
1010212214131
11437058a699
121b90072183
13c69960072
146cc404547
153eb82b356
hex260b20573

10212214131 has 64 divisors (see below), whose sum is σ = 17660851200. Its totient is φ = 5711904000.

The previous prime is 10212214127. The next prime is 10212214151. The reversal of 10212214131 is 13141221201.

10212214131 is a `hidden beast` number, since 10 + 21 + 221 + 413 + 1 = 666.

It is not a de Polignac number, because 10212214131 - 22 = 10212214127 is a prime.

It is a super-2 number, since 2×102122141312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212214151) 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, 1695916 + ... + 1701926.

It is an arithmetic number, because the mean of its divisors is an integer number (275950800).

Almost surely, 210212214131 is an apocalyptic number.

10212214131 is a deficient number, since it is larger than the sum of its proper divisors (7448637069).

10212214131 is a wasteful number, since it uses less digits than its factorization.

10212214131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212214131 its reverse (13141221201), we get a palindrome (23353435332).

The spelling of 10212214131 in words is "ten billion, two hundred twelve million, two hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 89 101 189 267 303 623 707 801 909 1869 2121 2403 2727 5607 6011 6363 8989 16821 18033 19089 26967 42077 54099 62923 80901 126231 162297 188769 242703 378693 534979 566307 607111 1136079 1604937 1698921 1821333 3744853 4249777 4814811 5463999 11234559 12749331 14444433 16391997 33703677 38247993 54032879 101111031 114743979 162098637 378230153 486295911 1134690459 1458887733 3404071377 10212214131