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21202002001011 = 31323432234615347
BaseRepresentation
bin1001101001000011110011…
…10011000011110001110011
32210001220001222021210201210
410310201321303003301303
510234333200003013021
6113032022032331203
74315536242322366
oct464417163036163
983056058253653
1021202002001011
11683479a438117
12246510b6a3b03
13baa456596810
1453427a6020dd
1526b7a56cbe76
hex134879cc3c73

21202002001011 has 128 divisors (see below), whose sum is σ = 32729045336064. Its totient is φ = 12106621739520.

The previous prime is 21202002001009. The next prime is 21202002001013. The reversal of 21202002001011 is 11010020020212.

It is an interprime number because it is at equal distance from previous prime (21202002001009) and next prime (21202002001013).

It is not a de Polignac number, because 21202002001011 - 21 = 21202002001009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21202002001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3965211840 + ... + 3965217186.

It is an arithmetic number, because the mean of its divisors is an integer number (255695666688).

Almost surely, 221202002001011 is an apocalyptic number.

21202002001011 is a deficient number, since it is larger than the sum of its proper divisors (11527043335053).

21202002001011 is a wasteful number, since it uses less digits than its factorization.

21202002001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21202002001011 its reverse (11010020020212), we get a palindrome (32212022021223).

The spelling of 21202002001011 in words is "twenty-one trillion, two hundred two billion, two million, one thousand, eleven".

Divisors: 1 3 13 23 39 43 69 129 223 299 461 559 669 897 989 1383 1677 2899 2967 5129 5347 5993 8697 9589 10603 12857 15387 16041 17979 19823 28767 31809 38571 59469 66677 69511 102803 122981 124657 137839 200031 208533 220547 229921 257699 308409 368943 373971 413517 455929 661641 689763 773097 1192381 1336439 1367787 1598753 2364469 2464967 2867111 2988973 3577143 4009317 4420529 4796259 5288183 5927077 7093407 7394901 8601333 8966919 13261587 15500953 15864549 17781231 27424763 30738097 32044571 46502859 51272383 56694241 57466877 68746379 82274289 92214291 96133713 101672167 105993581 153817149 170082723 172400631 206239137 305016501 317980743 356521919 549687641 666540979 737025133 1069565757 1179264809 1321738171 1377916553 1649062923 1999622937 2211075399 2437852363 3537794427 3965214513 4133749659 7145939333 7313557089 12642815743 15330442517 21437817999 23636568563 31692080719 37928447229 45991327551 70909705689 95076242157 164356604659 307275391319 493069813977 543641076949 921826173957 1630923230847 7067334000337 21202002001011