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10034022123 = 333112139883
BaseRepresentation
bin10010101100001001…
…10000011011101011
3221220021210010201000
421112010300123223
5131022202201443
64335355530043
7503436531546
oct112604603353
927807703630
1010034022123
114289a42374
121b40459923
13c3ba700c8
146b289b85d
153dad7d8d3
hex2561306eb

10034022123 has 32 divisors (see below), whose sum is σ = 15358945280. Its totient is φ = 6467571360.

The previous prime is 10034022109. The next prime is 10034022137. The reversal of 10034022123 is 32122043001.

10034022123 is a `hidden beast` number, since 100 + 340 + 221 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10034022109) and next prime (10034022137).

It is not a de Polignac number, because 10034022123 - 24 = 10034022107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10034022096 and 10034022105.

It is not an unprimeable number, because it can be changed into a prime (10034022143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010340 + ... + 1020222.

It is an arithmetic number, because the mean of its divisors is an integer number (479967040).

Almost surely, 210034022123 is an apocalyptic number.

10034022123 is a deficient number, since it is larger than the sum of its proper divisors (5324923157).

10034022123 is a wasteful number, since it uses less digits than its factorization.

10034022123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10034022123 its reverse (32122043001), we get a palindrome (42156065124).

The spelling of 10034022123 in words is "ten billion, thirty-four million, twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 27 31 93 279 837 1213 3639 9883 10917 29649 32751 37603 88947 112809 266841 306373 338427 919119 1015281 2757357 8272071 11988079 35964237 107892711 323678133 371630449 1114891347 3344674041 10034022123