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211132213121320 = 235227196971180507
BaseRepresentation
bin110000000000011000001100…
…100100000101000100101000
31000200120001010221121012012221
4300000120030210011010220
5210133142233024340240
62025012444423043424
762320541030504221
oct6000301444050450
91020501127535187
10211132213121320
116130073a113177
121b81aa06ba0574
1390a68b3c315aa
143a1cbd455a248
151962077a1ba4a
hexc0060c905128

211132213121320 has 64 divisors (see below), whose sum is σ = 477164827903680. Its totient is φ = 84076506172416.

The previous prime is 211132213121281. The next prime is 211132213121353. The reversal of 211132213121320 is 23121312231112.

It is a super-2 number, since 2×2111322131213202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178258507 + ... + 179439013.

It is an arithmetic number, because the mean of its divisors is an integer number (7455700435995).

Almost surely, 2211132213121320 is an apocalyptic number.

211132213121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132213121320 is an abundant number, since it is smaller than the sum of its proper divisors (266032614782360).

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

211132213121320 is a wasteful number, since it uses less digits than its factorization.

211132213121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200442 (or 1200438 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 211132213121320 its reverse (23121312231112), we get a palindrome (234253525352432).

The spelling of 211132213121320 in words is "two hundred eleven trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 227 454 908 1135 1816 2270 4540 9080 19697 39394 78788 98485 157576 196970 393940 787880 1180507 2361014 4471219 4722028 5902535 8942438 9444056 11805070 17884876 22356095 23610140 35769752 44712190 47220280 89424380 178848760 267975089 535950178 1071900356 1339875445 2143800712 2679750890 5359501780 10719003560 23252446379 46504892758 93009785516 116262231895 186019571032 232524463790 465048927580 930097855160 5278305328033 10556610656066 21113221312132 26391526640165 42226442624264 52783053280330 105566106560660 211132213121320