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211135114120 = 23572671607791
BaseRepresentation
bin1100010010100010100…
…0100010101110001000
3202011222100222002110111
43010220220202232020
511424401042122440
6240554422124104
721153060600400
oct3045050425610
9664870862414
10211135114120
11815a62a4257
1234b04880634
1316baa232cb8
14a30ccc3800
15575ad024ea
hex3128a22b88

211135114120 has 96 divisors (see below), whose sum is σ = 560862161280. Its totient is φ = 71308702080.

The previous prime is 211135114111. The next prime is 211135114219. The reversal of 211135114120 is 21411531112.

It is a junction number, because it is equal to n+sod(n) for n = 211135114091 and 211135114100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672576 + ... + 935215.

It is an arithmetic number, because the mean of its divisors is an integer number (5842314180).

Almost surely, 2211135114120 is an apocalyptic number.

211135114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211135114120 is an abundant number, since it is smaller than the sum of its proper divisors (349727047160).

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

211135114120 is a wasteful number, since it uses less digits than its factorization.

211135114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607883 (or 1607872 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 211135114120 its reverse (21411531112), we get a palindrome (232546645232).

The spelling of 211135114120 in words is "two hundred eleven billion, one hundred thirty-five million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 134 140 196 245 268 280 335 392 469 490 536 670 938 980 1340 1876 1960 2345 2680 3283 3752 4690 6566 9380 13132 16415 18760 26264 32830 65660 131320 1607791 3215582 6431164 8038955 11254537 12862328 16077910 22509074 32155820 45018148 56272685 64311640 78781759 90036296 107721997 112545370 157563518 215443994 225090740 315127036 393908795 430887988 450181480 538609985 630254072 754053979 787817590 861775976 1077219970 1508107958 1575635180 2154439940 3016215916 3151270360 3770269895 4308879880 5278377853 6032431832 7540539790 10556755706 15081079580 21113511412 26391889265 30162159160 42227022824 52783778530 105567557060 211135114120