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131011113101211 = 3372195211883403
BaseRepresentation
bin11101110010011101100110…
…110110111010011110011011
3122011212112120201200202012000
4131302131212312322132123
5114132441224423214321
61142345401404452043
736411145341232500
oct3562354666723633
9564775521622160
10131011113101211
1138820556990592
121283a9b884a023
1358143ab028155
14244cd865174a7
151022d76790826
hex772766dba79b

131011113101211 has 48 divisors (see below), whose sum is σ = 237661883222400. Its totient is φ = 70923309334416.

The previous prime is 131011113101159. The next prime is 131011113101237. The reversal of 131011113101211 is 112101311110131.

It is a happy number.

131011113101211 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 111 + 310 + 1 + 211 = 666.

It is not a de Polignac number, because 131011113101211 - 210 = 131011113100187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131011113101291) 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, 2605916565 + ... + 2605966838.

It is an arithmetic number, because the mean of its divisors is an integer number (4951289233800).

Almost surely, 2131011113101211 is an apocalyptic number.

131011113101211 is a deficient number, since it is larger than the sum of its proper divisors (106650770121189).

131011113101211 is a wasteful number, since it uses less digits than its factorization.

131011113101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211883445 (or 5211883432 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 131011113101211 its reverse (112101311110131), we get a palindrome (243112424211342).

The spelling of 131011113101211 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 25137 5211883403 15635650209 36483183821 46906950627 99025784657 109449551463 140720851881 255382286747 297077353971 328348654389 693180492599 766146860241 891232061913 985045963167 2079541477797 2298440580723 2673696185739 4852263448193 6238624433391 6895321742169 14556790344579 18715873300173 43670371033737 131011113101211