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211320301014 = 2321719104934649
BaseRepresentation
bin1100010011001110101…
…0111110010111010110
3202012110021102120010100
43010303222332113112
511430240444113024
6241025035234530
721160466631024
oct3046352762726
9665407376110
10211320301014
1181690889979
1234b568a8a46
1316c09701a44
14a32972b714
15576c1d27c9
hex3133abe5d6

211320301014 has 96 divisors (see below), whose sum is σ = 510810300000. Its totient is φ = 62745587712.

The previous prime is 211320301007. The next prime is 211320301043. The reversal of 211320301014 is 410103023112.

211320301014 is a `hidden beast` number, since 211 + 320 + 30 + 101 + 4 = 666.

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

It is a congruent number.

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, 6081562 + ... + 6116210.

It is an arithmetic number, because the mean of its divisors is an integer number (5320940625).

Almost surely, 2211320301014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211320301014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255405150000).

211320301014 is an abundant number, since it is smaller than the sum of its proper divisors (299489998986).

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

211320301014 is a wasteful number, since it uses less digits than its factorization.

211320301014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35742 (or 35739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211320301014 its reverse (410103023112), we get a palindrome (621423324126).

The spelling of 211320301014 in words is "two hundred eleven billion, three hundred twenty million, three hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1049 1938 2098 2907 3147 5814 6294 9441 17833 18882 19931 34649 35666 39862 53499 59793 69298 103947 106998 119586 160497 179379 207894 311841 320994 338827 358758 589033 623682 658331 677654 1016481 1178066 1316662 1767099 1974993 2032962 3049443 3534198 3949986 5301297 5924979 6098886 10602594 11191627 11849958 22383254 33574881 36346801 67149762 72693602 100724643 109040403 201449286 218080806 327121209 617895617 654242418 690589219 1235791234 1381178438 1853686851 2071767657 3707373702 4143535314 5561060553 6215302971 11122121106 11740016723 12430605942 23480033446 35220050169 70440100338 105660150507 211320301014