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201138962427 = 3413434442213
BaseRepresentation
bin1011101101010011010…
…0001111111111111011
3201020011201102222020000
42323110310033333323
511243413033244202
6232222454004043
720350260654114
oct2732464177773
9636151388200
10201138962427
1178336778567
1232b95046623
1315c76292340
149a4148320b
15537345491c
hex2ed4d0fffb

201138962427 has 40 divisors (see below), whose sum is σ = 331104862704. Its totient is φ = 120899241792.

The previous prime is 201138962413. The next prime is 201138962461. The reversal of 201138962427 is 724269831102.

201138962427 is a `hidden beast` number, since 2 + 0 + 1 + 13 + 8 + 9 + 624 + 2 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-201138962427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201138962467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2175828 + ... + 2266385.

Almost surely, 2201138962427 is an apocalyptic number.

201138962427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

201138962427 is a deficient number, since it is larger than the sum of its proper divisors (129965900277).

201138962427 is a wasteful number, since it uses less digits than its factorization.

201138962427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442281 (or 4442272 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 201138962427 in words is "two hundred one billion, one hundred thirty-eight million, nine hundred sixty-two thousand, four hundred twenty-seven".

Divisors: 1 3 9 13 27 39 43 81 117 129 351 387 559 1053 1161 1677 3483 5031 15093 45279 4442213 13326639 39979917 57748769 119939751 173246307 191015159 359819253 519738921 573045477 1559216763 1719136431 2483197067 4677650289 5157409293 7449591201 15472227879 22348773603 67046320809 201138962427