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211002002001 = 3372325693709
BaseRepresentation
bin1100010010000010110…
…0110000101001010001
3202011122002111021222000
43010200230300221101
511424113003031001
6240533305104213
721146553265410
oct3044054605121
9664562437860
10211002002001
118153814713a
1234a88188069
1316b88797b2b
14a2d9353477
15574e2aba86
hex3120b30a51

211002002001 has 96 divisors (see below), whose sum is σ = 374217312000. Its totient is φ = 115096557312.

The previous prime is 211002001981. The next prime is 211002002009. The reversal of 211002002001 is 100200200112.

It is not a de Polignac number, because 211002002001 - 210 = 211002000977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (211002002009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56887335 + ... + 56891043.

It is an arithmetic number, because the mean of its divisors is an integer number (3898097000).

Almost surely, 2211002002001 is an apocalyptic number.

211002002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211002002001 is a deficient number, since it is larger than the sum of its proper divisors (163215309999).

211002002001 is a wasteful number, since it uses less digits than its factorization.

211002002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211002002001 its reverse (100200200112), we get a palindrome (311202202113).

The spelling of 211002002001 in words is "two hundred eleven billion, two million, two thousand, one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 529 569 621 1449 1587 1707 3703 3709 3983 4347 4761 5121 11109 11127 11949 13087 14283 15363 25963 33327 33381 35847 39261 77889 85307 91609 99981 100143 107541 117783 233667 255921 274827 301001 353349 597149 701001 767763 824481 903003 1791447 1962061 2107007 2110421 2303289 2473443 2709009 5374341 5886183 6321021 6331263 8127027 13734427 14772947 16123023 17658549 18963063 18993789 41203281 44318841 48539683 52975647 56889189 56981367 123609843 132956523 145619049 339777781 370829529 398869569 436857147 1019333343 1116412709 1310571441 3058000029 3349238127 7814888963 9174000087 10047714381 23444666889 30143143143 70334000667 211002002001