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21232342242 = 236113128873
BaseRepresentation
bin10011110001100010…
…111101010011100010
32000210201101202000000
4103301202331103202
5321440434422432
613430510440430
71351104634266
oct236142752342
960721352000
1021232342242
119006115a91
124146803116
132004ab4227
141055c340a6
1584404457c
hex4f18bd4e2

21232342242 has 56 divisors (see below), whose sum is σ = 48173874444. Its totient is φ = 7014760704.

The previous prime is 21232342211. The next prime is 21232342249. The reversal of 21232342242 is 24224323212.

21232342242 is a `hidden beast` number, since 2 + 1 + 232 + 3 + 422 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20454434361 + 777907881 = 143019^2 + 27891^2 .

It is a super-3 number, since 3×212323422423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21232342249) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 100318 + ... + 229190.

Almost surely, 221232342242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232342242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086937222).

21232342242 is an abundant number, since it is smaller than the sum of its proper divisors (26941532202).

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

21232342242 is a wasteful number, since it uses less digits than its factorization.

21232342242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129006 (or 128991 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

Adding to 21232342242 its reverse (24224323212), we get a palindrome (45456665454).

The spelling of 21232342242 in words is "twenty-one billion, two hundred thirty-two million, three hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 243 339 486 678 729 1017 1458 2034 3051 6102 9153 18306 27459 54918 82377 128873 164754 257746 386619 773238 1159857 2319714 3479571 6959142 10438713 14562649 20877426 29125298 31316139 43687947 62632278 87375894 93948417 131063841 187896834 262127682 393191523 786383046 1179574569 2359149138 3538723707 7077447414 10616171121 21232342242