Search a number
-
+
10021212324 = 22331011317013
BaseRepresentation
bin10010101010100111…
…11001000010100100
3221212101200022222000
421111103321002210
5131010412243244
64334221205300
7503222620314
oct112523710244
927771608860
1010021212324
114282793162
121b38100830
13c39206646
146b0cc5444
153d9b9d169
hex2554f90a4

10021212324 has 96 divisors (see below), whose sum is σ = 26442218880. Its totient is φ = 3281616000.

The previous prime is 10021212323. The next prime is 10021212337. The reversal of 10021212324 is 42321212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10021212297 and 10021212306.

It is not an unprimeable number, because it can be changed into a prime (10021212323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425442 + ... + 1432454.

It is an arithmetic number, because the mean of its divisors is an integer number (275439780).

Almost surely, 210021212324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221109440).

10021212324 is an abundant number, since it is smaller than the sum of its proper divisors (16421006556).

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

10021212324 is a wasteful number, since it uses less digits than its factorization.

10021212324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10021212324 its reverse (42321212001), we get a palindrome (52342424325).

The spelling of 10021212324 in words is "ten billion, twenty-one million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 131 202 262 303 393 404 524 606 786 909 1179 1212 1572 1818 2358 2727 3537 3636 4716 5454 7013 7074 10908 13231 14026 14148 21039 26462 28052 39693 42078 52924 63117 79386 84156 119079 126234 158772 189351 238158 252468 357237 378702 476316 708313 714474 757404 918703 1416626 1428948 1837406 2124939 2756109 2833252 3674812 4249878 5512218 6374817 8268327 8499756 11024436 12749634 16536654 19124451 24804981 25499268 33073308 38248902 49609962 76497804 92789003 99219924 185578006 278367009 371156012 556734018 835101027 1113468036 1670202054 2505303081 3340404108 5010606162 10021212324