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211302212211132 = 223713121191715763
BaseRepresentation
bin110000000010110110100001…
…010011001001000110111100
31000201011021221110212201210120
4300002312201103021012330
5210143433412311224012
62025222521325334540
762336036541101610
oct6002664123110674
91021137843781716
10211302212211132
1161366846179519
121b84794b407450
1390b993692a2b3
143a27120037340
1519666c723758c
hexc02da14c91bc

211302212211132 has 48 divisors (see below), whose sum is σ = 563515513166592. Its totient is φ = 60367459138560.

The previous prime is 211302212211121. The next prime is 211302212211133. The reversal of 211302212211132 is 231112212203112.

It is a super-4 number, since 4×2113022122111324 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211302212211133) 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, 94755718 + ... + 96960045.

It is an arithmetic number, because the mean of its divisors is an integer number (11739906524304).

Almost surely, 2211302212211132 is an apocalyptic number.

It is an amenable number.

211302212211132 is an abundant number, since it is smaller than the sum of its proper divisors (352213300955460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211302212211132 is a wasteful number, since it uses less digits than its factorization.

211302212211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191728898 (or 191728896 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211302212211132 its reverse (231112212203112), we get a palindrome (442414424414244).

The spelling of 211302212211132 in words is "two hundred eleven trillion, three hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 13121 26242 39363 52484 78726 91847 157452 183694 275541 367388 551082 1102164 191715763 383431526 575147289 766863052 1150294578 1342010341 2300589156 2684020682 4026031023 5368041364 8052062046 16104124092 2515502526323 5031005052646 7546507578969 10062010105292 15093015157938 17608517684261 30186030315876 35217035368522 52825553052783 70434070737044 105651106105566 211302212211132