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211320040140 = 2232511831285871
BaseRepresentation
bin1100010011001110100…
…1111110101011001100
3202012110020221022021100
43010303221332223030
511430240412241030
6241025025503100
721160464463326
oct3046351765314
9665406838240
10211320040140
1181690720980
1234b567a1a90
1316c09640091
14a3296a0616
15576c180360
hex3133a7eacc

211320040140 has 144 divisors (see below), whose sum is σ = 707702800896. Its totient is φ = 50611843200.

The previous prime is 211320040111. The next prime is 211320040171. The reversal of 211320040140 is 41040023112.

211320040140 is a `hidden beast` number, since 21 + 1 + 3 + 200 + 401 + 40 = 666.

It is a super-2 number, since 2×2113200401402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478596 + ... + 807275.

It is an arithmetic number, because the mean of its divisors is an integer number (4914602784).

Almost surely, 2211320040140 is an apocalyptic number.

211320040140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320040140 is an abundant number, since it is smaller than the sum of its proper divisors (496382760756).

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

211320040140 is a wasteful number, since it uses less digits than its factorization.

211320040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285980 (or 1285975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211320040140 its reverse (41040023112), we get a palindrome (252360063252).

The spelling of 211320040140 in words is "two hundred eleven billion, three hundred twenty million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4565 4980 5478 7470 8217 9130 10956 13695 14940 16434 18260 27390 32868 41085 54780 82170 164340 1285871 2571742 3857613 5143484 6429355 7715226 11572839 12858710 14144581 15430452 19288065 23145678 25717420 28289162 38576130 42433743 46291356 56578324 57864195 70722905 77152260 84867486 106727293 115728390 127301229 141445810 169734972 212168715 213454586 231456780 254602458 282891620 320181879 424337430 426909172 509204916 533636465 636506145 640363758 848674860 960545637 1067272930 1174000223 1273012290 1280727516 1600909395 1921091274 2134545860 2348000446 2546024580 3201818790 3522000669 3842182548 4696000892 4802728185 5870001115 6403637580 7044001338 9605456370 10566002007 11740002230 14088002676 17610003345 19210912740 21132004014 23480004460 35220006690 42264008028 52830010035 70440013380 105660020070 211320040140