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131000041199979 = 37721222437233
BaseRepresentation
bin11101110010010011010010…
…111010111101100101101011
3122011211111000002221220000000
4131302103102322331211223
5114132301041021344404
61142340331011314043
736410304066514200
oct3562232272754553
9564744002856000
10131000041199979
1138816895103296
12128388288ab923
1358133352477c3
14244c615c8bca7
15102292974c339
hex7724d2ebd96b

131000041199979 has 48 divisors (see below), whose sum is σ = 228546865268640. Its totient is φ = 74857166338752.

The previous prime is 131000041199957. The next prime is 131000041199999. The reversal of 131000041199979 is 979991140000131.

131000041199979 is a `hidden beast` number, since 131 + 0 + 0 + 0 + 0 + 411 + 9 + 9 + 97 + 9 = 666.

It is not a de Polignac number, because 131000041199979 - 212 = 131000041195883 is a prime.

It is a super-2 number, since 2×1310000411999792 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000041199999) 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, 611111454 + ... + 611325779.

It is an arithmetic number, because the mean of its divisors is an integer number (4761393026430).

Almost surely, 2131000041199979 is an apocalyptic number.

131000041199979 is a deficient number, since it is larger than the sum of its proper divisors (97546824068661).

131000041199979 is an frugal number, since it uses more digits than its factorization.

131000041199979 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222437268 (or 1222437243 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 131000041199979 in words is "one hundred thirty-one trillion, forty-one million, one hundred ninety-nine thousand, nine hundred seventy-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 11907 15309 35721 107163 1222437233 3667311699 8557060631 11001935097 25671181893 33005805291 59899424417 77013545679 99017415873 179698273251 231040637037 297052247619 539094819753 693121911111 891156742857 1617284459259 2079365733333 2673470228571 4851853377777 6238097199999 14555560133331 18714291599997 43666680399993 131000041199979