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127142363106 = 232114314933329
BaseRepresentation
bin111011001101001000…
…1100111111111100010
3110011011202210020202100
41312122101213333202
54040341421104411
6134224114031230
712120464153313
oct1663221477742
9404152706670
10127142363106
1149a14605250
1220783878516
13bcb2b47125
146221b6060a
153492041456
hex1d9a467fe2

127142363106 has 48 divisors (see below), whose sum is σ = 307507131360. Its totient is φ = 37631986560.

The previous prime is 127142363087. The next prime is 127142363107. The reversal of 127142363106 is 601363241721.

127142363106 is a `hidden beast` number, since 1 + 2 + 7 + 14 + 2 + 3 + 631 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (127142363107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7458151 + ... + 7475178.

It is an arithmetic number, because the mean of its divisors is an integer number (6406398570).

Almost surely, 2127142363106 is an apocalyptic number.

127142363106 is an abundant number, since it is smaller than the sum of its proper divisors (180364768254).

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

127142363106 is a wasteful number, since it uses less digits than its factorization.

127142363106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14933391 (or 14933388 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 127142363106 in words is "one hundred twenty-seven billion, one hundred forty-two million, three hundred sixty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 14933329 29866658 44799987 89599974 134399961 164266619 268799922 328533238 492799857 642133147 985599714 1284266294 1478399571 1926399441 2956799142 3852798882 5779198323 7063464617 11558396646 14126929234 21190393851 42380787702 63571181553 127142363106