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34010023122 = 2332921717767
BaseRepresentation
bin11111101011001001…
…111100010011010010
310020210012212011222000
4133223021330103102
51024123031214442
623342440454430
72312541266235
oct375311742322
9106705764860
1034010023122
1113472853829
126711a7a416
1332900b5a4a
141908c4b41c
15d40bcdd4c
hex7eb27c4d2

34010023122 has 32 divisors (see below), whose sum is σ = 78183964800. Its totient is φ = 10945754064.

The previous prime is 34010023121. The next prime is 34010023129. The reversal of 34010023122 is 22132001043.

34010023122 is a `hidden beast` number, since 340 + 10 + 0 + 2 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34010023095 and 34010023104.

It is not an unprimeable number, because it can be changed into a prime (34010023121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10857318 + ... + 10860449.

It is an arithmetic number, because the mean of its divisors is an integer number (2443248900).

Almost surely, 234010023122 is an apocalyptic number.

34010023122 is an abundant number, since it is smaller than the sum of its proper divisors (44173941678).

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

34010023122 is a wasteful number, since it uses less digits than its factorization.

34010023122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21717807 (or 21717801 counting only the distinct ones).

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

Adding to 34010023122 its reverse (22132001043), we get a palindrome (56142024165).

The spelling of 34010023122 in words is "thirty-four billion, ten million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 21717767 43435534 65153301 130306602 195459903 390919806 586379709 629815243 1172759418 1259630486 1889445729 3778891458 5668337187 11336674374 17005011561 34010023122