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10131434034 = 2371109121799
BaseRepresentation
bin10010110111110000…
…10110101000110010
3222011002002011201120
421123320112220302
5131222121342114
64353155443110
7506031524361
oct113370265062
928132064646
1010131434034
114329a26387
121b68bb6496
13c55cb88a7
146c17b77d8
153e46c15a9
hex25be16a32

10131434034 has 32 divisors (see below), whose sum is σ = 20568038400. Its totient is φ = 3326374800.

The previous prime is 10131433999. The next prime is 10131434041. The reversal of 10131434034 is 43043413101.

10131434034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10131433995 and 10131434013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453867 + ... + 475665.

It is an arithmetic number, because the mean of its divisors is an integer number (642751200).

Almost surely, 210131434034 is an apocalyptic number.

10131434034 is an abundant number, since it is smaller than the sum of its proper divisors (10436604366).

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

10131434034 is a wasteful number, since it uses less digits than its factorization.

10131434034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22966.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10131434034 its reverse (43043413101), we get a palindrome (53174847135).

The spelling of 10131434034 in words is "ten billion, one hundred thirty-one million, four hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 71 142 213 426 1091 2182 3273 6546 21799 43598 65397 77461 130794 154922 232383 464766 1547729 3095458 4643187 9286374 23782709 47565418 71348127 142696254 1688572339 3377144678 5065717017 10131434034