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211210132130120 = 23541334738478239
BaseRepresentation
bin110000000001100000110000…
…111001100000100101001000
31000200211111021020221221221202
4300001200300321200211020
5210140431322311130440
62025112332321523332
762326266653242124
oct6001406071404510
91020744236857852
10211210132130120
1161330794394812
121b831b31aa3548
1390b1050ba2766
143a228a6b96584
1519640d847a615
hexc01830e60948

211210132130120 has 64 divisors (see below), whose sum is σ = 486959057625600. Its totient is φ = 82398837982720.

The previous prime is 211210132130077. The next prime is 211210132130141. The reversal of 211210132130120 is 21031231012112.

It is a super-2 number, since 2×2112101321301202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211210132130092 and 211210132130101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13750040 + ... + 24728199.

It is an arithmetic number, because the mean of its divisors is an integer number (7608735275400).

Almost surely, 2211210132130120 is an apocalyptic number.

211210132130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210132130120 is an abundant number, since it is smaller than the sum of its proper divisors (275748925495480).

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

211210132130120 is a wasteful number, since it uses less digits than its factorization.

211210132130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38481638 (or 38481634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211210132130120 its reverse (21031231012112), we get a palindrome (232241363142232).

The spelling of 211210132130120 in words is "two hundred eleven trillion, two hundred ten billion, one hundred thirty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 3347 6694 13388 16735 26776 33470 66940 133880 137227 274454 548908 686135 1097816 1372270 2744540 5489080 38478239 76956478 153912956 192391195 307825912 384782390 769564780 1539129560 1577607799 3155215598 6310431196 7888038995 12620862392 15776077990 31552155980 63104311960 128786665933 257573331866 515146663732 643933329665 1030293327464 1287866659330 2575733318660 5151466637320 5280253303253 10560506606506 21121013213012 26401266516265 42242026426024 52802533032530 105605066065060 211210132130120