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30000026106 = 23317127257321
BaseRepresentation
bin11011111100001001…
…000001000111111010
32212102202100020012000
4123330021001013322
5442420001313411
621440512401430
72111300004651
oct337411010772
985382306160
1030000026106
11117a5261706
125992b46276
132aa13a3c4b
141648454198
15ba8b31956
hex6fc2411fa

30000026106 has 64 divisors (see below), whose sum is σ = 71144386560. Its totient is φ = 9337628160.

The previous prime is 30000026101. The next prime is 30000026153. The reversal of 30000026106 is 60162000003.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30000026101) 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, 12075 + ... + 245246.

It is an arithmetic number, because the mean of its divisors is an integer number (1111631040).

Almost surely, 230000026106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000026106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35572193280).

30000026106 is an abundant number, since it is smaller than the sum of its proper divisors (41144360454).

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

30000026106 is a wasteful number, since it uses less digits than its factorization.

30000026106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257476 (or 257470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30000026106 its reverse (60162000003), we get a palindrome (90162026109).

The spelling of 30000026106 in words is "thirty billion, twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 127 153 254 306 381 459 762 918 1143 2159 2286 3429 4318 6477 6858 12954 19431 38862 58293 116586 257321 514642 771963 1543926 2315889 4374457 4631778 6947667 8748914 13123371 13895334 26246742 32679767 39370113 65359534 78740226 98039301 118110339 196078602 236220678 294117903 555556039 588235806 882353709 1111112078 1666668117 1764707418 3333336234 5000004351 10000008702 15000013053 30000026106