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211321111120 = 2457377359127
BaseRepresentation
bin1100010011001110111…
…0000100001001010000
3202012110022221201101021
43010303232010021100
511430241201023440
6241025104445224
721160506543610
oct3046356041120
9665408851337
10211321111120
1181691292589
1234b57019814
1316c099266b2
14a32989ca40
15576c2e284a
hex3133b84250

211321111120 has 40 divisors (see below), whose sum is σ = 561510382464. Its totient is φ = 72452952192.

The previous prime is 211321111109. The next prime is 211321111151. The reversal of 211321111120 is 21111123112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2113211111202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211321111094 and 211321111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188679004 + ... + 188680123.

Almost surely, 2211321111120 is an apocalyptic number.

211321111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211321111120 is an abundant number, since it is smaller than the sum of its proper divisors (350189271344).

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

211321111120 is a wasteful number, since it uses less digits than its factorization.

211321111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377359147 (or 377359141 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 211321111120 its reverse (21111123112), we get a palindrome (232432234232).

The spelling of 211321111120 in words is "two hundred eleven billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 377359127 754718254 1509436508 1886795635 2641513889 3018873016 3773591270 5283027778 6037746032 7547182540 10566055556 13207569445 15094365080 21132111112 26415138890 30188730160 42264222224 52830277780 105660555560 211321111120