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10223507034 = 2321343690201
BaseRepresentation
bin10011000010101111…
…00101011001011010
3222101111022222010200
421201113211121122
5131414204211114
64410245123030
7511230242646
oct114127453132
928344288120
1010223507034
1143769a3174
121b939b9476
13c6c0b5260
146cdb03c26
153ec80c409
hex2615e565a

10223507034 has 24 divisors (see below), whose sum is σ = 23854850292. Its totient is φ = 3145694400.

The previous prime is 10223507033. The next prime is 10223507093. The reversal of 10223507034 is 43070532201.

10223507034 is a `hidden beast` number, since 102 + 23 + 507 + 0 + 34 = 666.

10223507034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9750575025 + 472932009 = 98745^2 + 21747^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10223506989 and 10223507007.

It is not an unprimeable number, because it can be changed into a prime (10223507033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21844867 + ... + 21845334.

Almost surely, 210223507034 is an apocalyptic number.

10223507034 is an abundant number, since it is smaller than the sum of its proper divisors (13631343258).

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

10223507034 is a wasteful number, since it uses less digits than its factorization.

10223507034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43690222 (or 43690219 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 10223507034 in words is "ten billion, two hundred twenty-three million, five hundred seven thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 43690201 87380402 131070603 262141206 393211809 567972613 786423618 1135945226 1703917839 3407835678 5111753517 10223507034