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127013713113 = 37172127916363
BaseRepresentation
bin111011001001010011…
…0110111010011011001
3110010211210201011010210
41312102212313103121
54040111002304423
6134203240401333
712114342514410
oct1662246672331
9403753634123
10127013713113
1149958a25641
1220748776249
13bc922b1c81
14620ca32477
153485accb93
hex1d929b74d9

127013713113 has 48 divisors (see below), whose sum is σ = 205772718080. Its totient is φ = 68252315904.

The previous prime is 127013713103. The next prime is 127013713139. The reversal of 127013713113 is 311317310721.

It is not a de Polignac number, because 127013713113 - 24 = 127013713097 is a prime.

It is a super-2 number, since 2×1270137131132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127013713103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7754070 + ... + 7770432.

Almost surely, 2127013713113 is an apocalyptic number.

It is an amenable number.

127013713113 is a deficient number, since it is larger than the sum of its proper divisors (78759004967).

127013713113 is a wasteful number, since it uses less digits than its factorization.

127013713113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17686 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 127013713113 in words is "one hundred twenty-seven billion, thirteen million, seven hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 17 21 51 119 289 357 867 1279 2023 3837 6069 8953 16363 21743 26859 49089 65229 114541 152201 278171 343623 369631 456603 834513 1108893 1947197 2587417 4728907 5841591 7762251 14186721 20928277 33102349 62784831 99307047 146497939 355780709 439493817 1067342127 2490464963 6048272053 7471394889 18144816159 42337904371 127013713113