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20122333434 = 2327222814437
BaseRepresentation
bin10010101111011000…
…100111000011111010
31220221100201110011200
4102233120213003322
5312202304132214
613124415235030
71311436004100
oct225730470372
956840643150
1020122333434
118596594a35
123a96b18a76
131b88b3a998
14d8c64bc70
157cb882d09
hex4af6270fa

20122333434 has 36 divisors (see below), whose sum is σ = 50716495674. Its totient is φ = 5749237872.

The previous prime is 20122333423. The next prime is 20122333481. The reversal of 20122333434 is 43433322102.

20122333434 is a `hidden beast` number, since 2 + 0 + 1 + 223 + 3 + 3 + 434 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17464415409 + 2657918025 = 132153^2 + 51555^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20122333398 and 20122333407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11406337 + ... + 11408100.

Almost surely, 220122333434 is an apocalyptic number.

20122333434 is an abundant number, since it is smaller than the sum of its proper divisors (30594162240).

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

20122333434 is a wasteful number, since it uses less digits than its factorization.

20122333434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814459 (or 22814449 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20122333434 its reverse (43433322102), we get a palindrome (63555655536).

The spelling of 20122333434 in words is "twenty billion, one hundred twenty-two million, three hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 22814437 45628874 68443311 136886622 159701059 205329933 319402118 410659866 479103177 958206354 1117907413 1437309531 2235814826 2874619062 3353722239 6707444478 10061166717 20122333434