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131011113033243 = 32174758481311533
BaseRepresentation
bin11101110010011101100110…
…110110101001111000011011
3122011212112120201120021221200
4131302131212312221320123
5114132441224414030433
61142345401403205243
736411145340530362
oct3562354666517033
9564775521507850
10131011113033243
1138820556944513
121283a9b8816823
1358143ab003231
14244cd864da7d9
151022d7677a613
hex772766da9e1b

131011113033243 has 48 divisors (see below), whose sum is σ = 204637283750016. Its totient is φ = 80452416245760.

The previous prime is 131011113033223. The next prime is 131011113033299. The reversal of 131011113033243 is 342330311110131.

131011113033243 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 111 + 303 + 3 + 243 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131011113033243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131011113033223) 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, 420381105 + ... + 420692637.

It is an arithmetic number, because the mean of its divisors is an integer number (4263276744792).

Almost surely, 2131011113033243 is an apocalyptic number.

131011113033243 is a deficient number, since it is larger than the sum of its proper divisors (73626170716773).

131011113033243 is a wasteful number, since it uses less digits than its factorization.

131011113033243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370084 (or 370081 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131011113033243 its reverse (342330311110131), we get a palindrome (473341424143374).

The spelling of 131011113033243 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, thirty-three thousand, two hundred forty-three".

Divisors: 1 3 9 17 47 51 141 153 423 799 2397 7191 58481 175443 311533 526329 934599 994177 2748607 2803797 2982531 5296061 8245821 8947593 14642051 15888183 24737463 43926153 46726319 47664549 131778459 140178957 248914867 420536871 746744601 2240233803 18218761373 54656284119 163968852357 309718943341 856281784531 929156830023 2568845353593 2787470490069 7706536060779 14556790337027 43670371011081 131011113033243