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1006275106212 = 223671251585953
BaseRepresentation
bin11101010010010101010…
…10111001010110100100
310120012101001010211221020
432221022222321112210
5112441322411344322
62050135411451140
7132462302163225
oct16511252712644
93505331124836
101006275106212
11358839078092
121430335b6ab0
1373b7835763c
14369bd9c924c
151b2975e205c
hexea4aab95a4

1006275106212 has 24 divisors (see below), whose sum is σ = 2383019656416. Its totient is φ = 330418691328.

The previous prime is 1006275106171. The next prime is 1006275106229. The reversal of 1006275106212 is 2126015726001.

1006275106212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625792173 + ... + 625793780.

It is an arithmetic number, because the mean of its divisors is an integer number (99292485684).

Almost surely, 21006275106212 is an apocalyptic number.

1006275106212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006275106212 is an abundant number, since it is smaller than the sum of its proper divisors (1376744550204).

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

1006275106212 is a wasteful number, since it uses less digits than its factorization.

1006275106212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251586027 (or 1251586025 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1006275106212 in words is "one trillion, six billion, two hundred seventy-five million, one hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 1251585953 2503171906 3754757859 5006343812 7509515718 15019031436 83856258851 167712517702 251568776553 335425035404 503137553106 1006275106212