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211020659916 = 2231121391045547
BaseRepresentation
bin1100010010000111001…
…1111011110011001100
3202011200101121012210220
43010201303323303030
511424132242104131
6240535213031340
721150201004563
oct3044163736314
9664611535726
10211020659916
1181547730100
1234a92485550
1316b8c5cb411
14a2dba0cbda
155750c44e96
hex3121cfbccc

211020659916 has 72 divisors (see below), whose sum is σ = 545106905280. Its totient is φ = 63485553120.

The previous prime is 211020659909. The next prime is 211020659917. The reversal of 211020659916 is 619956020112.

211020659916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2110206599162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211020659917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320946 + ... + 724601.

It is an arithmetic number, because the mean of its divisors is an integer number (7570929240).

Almost surely, 2211020659916 is an apocalyptic number.

It is an amenable number.

211020659916 is an abundant number, since it is smaller than the sum of its proper divisors (334086245364).

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

211020659916 is a wasteful number, since it uses less digits than its factorization.

211020659916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045715 (or 1045702 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 211020659916 in words is "two hundred eleven billion, twenty million, six hundred fifty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 139 242 278 363 417 484 556 726 834 1452 1529 1668 3058 4587 6116 9174 16819 18348 33638 50457 67276 100914 201828 1045547 2091094 3136641 4182188 6273282 11501017 12546564 23002034 34503051 46004068 69006102 126511187 138012204 145331033 253022374 290662066 379533561 435993099 506044748 581324132 759067122 871986198 1518134244 1598641363 1743972396 3197282726 4795924089 6394565452 9591848178 17585054993 19183696356 35170109986 52755164979 70340219972 105510329958 211020659916