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21000002002218 = 235223571733893
BaseRepresentation
bin1001100011001011100011…
…01010001101110100101010
32202100120200020122122200000
410301211301222031310222
510223031001003032333
6112355133455323430
74265125424550201
oct461456152156452
982316606578600
1021000002002218
116767061730258
122431b36220576
13b943a3b00a05
14528596a66238
152663d1895713
hex131971a8dd2a

21000002002218 has 96 divisors (see below), whose sum is σ = 47406471630336. Its totient is φ = 6967186031808.

The previous prime is 21000002002211. The next prime is 21000002002219. The reversal of 21000002002218 is 81220020000012.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21000002002218.

It is not an unprimeable number, because it can be changed into a prime (21000002002211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619580080 + ... + 619613972.

It is an arithmetic number, because the mean of its divisors is an integer number (493817412816).

Almost surely, 221000002002218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000002002218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703235815168).

21000002002218 is an abundant number, since it is smaller than the sum of its proper divisors (26406469628118).

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

21000002002218 is a wasteful number, since it uses less digits than its factorization.

21000002002218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39850 (or 39838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 21000002002218 in words is "twenty-one trillion, two million, two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 446 486 669 1338 2007 4014 5717 6021 11434 12042 17151 18063 33893 34302 36126 51453 54189 67786 101679 102906 108378 154359 203358 305037 308718 463077 610074 915111 926154 1274891 1389231 1830222 2549782 2745333 2778462 3824673 5490666 7558139 7649346 8235999 11474019 15116278 16471998 22674417 22948038 34422057 45348834 68023251 68844114 103266171 136046502 193766281 204069753 206532342 309798513 387532562 408139506 581298843 612209259 619597026 1162597686 1224418518 1743896529 1836627777 3487793058 3673255554 5231689587 10463379174 15695068761 31390137522 43209880663 47085206283 86419761326 94170412566 129629641989 259259283978 388888925967 777777851934 1166666777901 2333333555802 3500000333703 7000000667406 10500001001109 21000002002218