Search a number
-
+
10112334342321 = 3731371231273797
BaseRepresentation
bin1001001100100111011000…
…0110001010100010110001
31022210201200222010002212110
42103021312012022202301
52311140030042423241
633301313043515533
72062410033451431
oct223116606124261
938721628102773
1010112334342321
113249687121062
121173a08388ba9
13584787162b73
1426d6223602c1
151280a1e42816
hex9327618a8b1

10112334342321 has 32 divisors (see below), whose sum is σ = 13778812067328. Its totient is φ = 6595285662720.

The previous prime is 10112334342277. The next prime is 10112334342337. The reversal of 10112334342321 is 12324343321101.

It is not a de Polignac number, because 10112334342321 - 210 = 10112334341297 is a prime.

It is a super-2 number, since 2×101123343423212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112334342221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36796795 + ... + 37070591.

It is an arithmetic number, because the mean of its divisors is an integer number (430587877104).

Almost surely, 210112334342321 is an apocalyptic number.

It is an amenable number.

10112334342321 is a deficient number, since it is larger than the sum of its proper divisors (3666477725007).

10112334342321 is a wasteful number, since it uses less digits than its factorization.

10112334342321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275241.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10112334342321 its reverse (12324343321101), we get a palindrome (22436677663422).

The spelling of 10112334342321 in words is "ten trillion, one hundred twelve billion, three hundred thirty-four million, three hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 73 137 219 411 1231 3693 10001 30003 89863 168647 269589 273797 505941 821391 12311231 19987181 36933693 37510189 59961543 112530567 337044107 1011132321 2738243797 8214731391 24604219811 46175042659 73812659433 138525127977 3370778114107 10112334342321