Search a number
-
+
12212100342 = 23213371410499
BaseRepresentation
bin10110101111110010…
…11101110011110110
31011112002012222022200
423113321131303312
5200002244202332
65335443405330
7611425066041
oct132771356366
934462188280
1012212100342
1151a7459812
122449983846
1311c80976a0
1483bc6dc58
154b71ba17c
hex2d7e5dcf6

12212100342 has 48 divisors (see below), whose sum is σ = 29265054000. Its totient is φ = 3656010816.

The previous prime is 12212100301. The next prime is 12212100347. The reversal of 12212100342 is 24300121221.

It is a happy number.

12212100342 is a `hidden beast` number, since 1 + 221 + 2 + 100 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212100347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696592 + ... + 713907.

It is an arithmetic number, because the mean of its divisors is an integer number (609688625).

Almost surely, 212212100342 is an apocalyptic number.

12212100342 is an abundant number, since it is smaller than the sum of its proper divisors (17052953658).

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

12212100342 is a wasteful number, since it uses less digits than its factorization.

12212100342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410557 (or 1410554 counting only the distinct ones).

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

Adding to 12212100342 its reverse (24300121221), we get a palindrome (36512221563).

The spelling of 12212100342 in words is "twelve billion, two hundred twelve million, one hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 1410499 2820998 4231497 8462994 12694491 18336487 25388982 36672974 52188463 55009461 104376926 110018922 156565389 165028383 313130778 330056766 469696167 678450019 939392334 1356900038 2035350057 4070700114 6106050171 12212100342