Search a number
-
+
212120402442 = 231371109351401
BaseRepresentation
bin1100010110001101011…
…1000111101000001010
3202021112000221220221120
43011203113013220022
511433410310334232
6241240300220110
721216353446164
oct3054327075012
9667460856846
10212120402442
1181a61489a23
123513a83a636
13170063bbb40
14a3a3ac1934
1557b757992c
hex31635c7a0a

212120402442 has 64 divisors (see below), whose sum is σ = 467561445120. Its totient is φ = 63758016000.

The previous prime is 212120402419. The next prime is 212120402447. The reversal of 212120402442 is 244204021212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212120402447) 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, 427942 + ... + 779342.

It is an arithmetic number, because the mean of its divisors is an integer number (7305647580).

Almost surely, 2212120402442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120402442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233780722560).

212120402442 is an abundant number, since it is smaller than the sum of its proper divisors (255441042678).

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

212120402442 is a wasteful number, since it uses less digits than its factorization.

212120402442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351599.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212120402442 its reverse (244204021212), we get a palindrome (456324423654).

The spelling of 212120402442 in words is "two hundred twelve billion, one hundred twenty million, four hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 71 78 109 142 213 218 327 426 654 923 1417 1846 2769 2834 4251 5538 7739 8502 15478 23217 46434 100607 201214 301821 351401 603642 702802 1054203 2108406 4568213 9136426 13704639 24949471 27409278 38302709 49898942 74848413 76605418 114908127 149696826 229816254 324343123 497935217 648686246 973029369 995870434 1493805651 1946058738 2719492339 2987611302 5438984678 8158477017 16316954034 35353400407 70706800814 106060201221 212120402442