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131000030309977 = 1714098849618041
BaseRepresentation
bin11101110010010011010010…
…010001011010111001011001
3122011211110222100110121201121
4131302103102101122321121
5114132301030224404402
61142340325542045241
736410303605120003
oct3562232221327131
9564743870417647
10131000030309977
1138816889a45494
1212838825119821
135813332c03b0a
14244c614655373
1510229287ea837
hex7724d245ae59

131000030309977 has 16 divisors (see below), whose sum is σ = 138820267746000. Its totient is φ = 123192518901760.

The previous prime is 131000030309947. The next prime is 131000030309999. The reversal of 131000030309977 is 779903030000131.

It can be written as a sum of positive squares in 8 ways, for example, as 37308103777296 + 93691926532681 = 6108036^2 + 9679459^2 .

It is a cyclic number.

It is not a de Polignac number, because 131000030309977 - 215 = 131000030277209 is a prime.

It is a super-2 number, since 2×1310000303099772 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131000030309917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211651077 + ... + 212269117.

It is an arithmetic number, because the mean of its divisors is an integer number (8676266734125).

Almost surely, 2131000030309977 is an apocalyptic number.

131000030309977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131000030309977 is a deficient number, since it is larger than the sum of its proper divisors (7820237436023).

131000030309977 is a wasteful number, since it uses less digits than its factorization.

131000030309977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628316.

The product of its (nonzero) digits is 107163, while the sum is 43.

The spelling of 131000030309977 in words is "one hundred thirty-one trillion, thirty million, three hundred nine thousand, nine hundred seventy-seven".

Divisors: 1 17 1409 8849 23953 150433 618041 10506697 12468241 211960097 870819769 5469044809 14803936073 92973761753 7705884135881 131000030309977