Search a number
-
+
10010012022 = 2331923218443
BaseRepresentation
bin10010101001010010…
…01010100101110110
3221211121121022001000
421110221022211312
5131000030341042
64333141144130
7503025461343
oct112451124566
927747538030
1010010012022
11427743320a
121b343bb046
13c36ab464a
146ad60b7ca
153d8bd974c
hex254a4a976

10010012022 has 96 divisors (see below), whose sum is σ = 24478876800. Its totient is φ = 3023455248.

The previous prime is 10010012021. The next prime is 10010012093. The reversal of 10010012022 is 22021001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011995 and 10010012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010012021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533533 + ... + 551975.

It is an arithmetic number, because the mean of its divisors is an integer number (254988300).

Almost surely, 210010012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239438400).

10010012022 is an abundant number, since it is smaller than the sum of its proper divisors (14468864778).

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

10010012022 is a wasteful number, since it uses less digits than its factorization.

10010012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18519 (or 18490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010012022 its reverse (22021001001), we get a palindrome (32031013023).

The spelling of 10010012022 in words is "ten billion, ten million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 529 621 874 1026 1058 1242 1311 1587 2622 3174 3933 4761 7866 9522 10051 11799 14283 18443 20102 23598 28566 30153 36886 55329 60306 90459 110658 165987 180918 271377 331974 350417 424189 497961 542754 700834 848378 995922 1051251 1272567 2102502 2545134 3153753 3817701 6307506 7635402 8059591 9461259 9756347 11453103 16119182 18922518 19512694 22906206 24178773 29269041 48357546 58538082 72536319 87807123 145072638 175614246 185370593 217608957 263421369 370741186 435217914 526842738 556111779 1112223558 1668335337 3336670674 5005006011 10010012022