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21002231101311 = 323724313954961
BaseRepresentation
bin1001100011001111101101…
…00001100011011101111111
32202100210102121002121202200
410301213312201203131333
510223100032130220221
6112400143004522543
74265234602563315
oct461476641433577
982323377077680
1021002231101311
116767aa5a25409
122432458850453
13b9466a880265
14528728b1a0b5
152664b240e426
hex1319f686377f

21002231101311 has 36 divisors (see below), whose sum is σ = 31250970694944. Its totient is φ = 13591457337600.

The previous prime is 21002231101277. The next prime is 21002231101333. The reversal of 21002231101311 is 11310113220012.

21002231101311 is a `hidden beast` number, since 21 + 0 + 0 + 2 + 231 + 101 + 311 = 666.

It is not a de Polignac number, because 21002231101311 - 210 = 21002231100287 is a prime.

It is a super-2 number, since 2×210022311013112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002231101711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3332871 + ... + 7287831.

It is an arithmetic number, because the mean of its divisors is an integer number (868082519304).

Almost surely, 221002231101311 is an apocalyptic number.

21002231101311 is a deficient number, since it is larger than the sum of its proper divisors (10248739593633).

21002231101311 is a wasteful number, since it uses less digits than its factorization.

21002231101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955472 (or 3955432 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21002231101311 its reverse (11310113220012), we get a palindrome (32312344321323).

The spelling of 21002231101311 in words is "twenty-one trillion, two billion, two hundred thirty-one million, one hundred one thousand, three hundred eleven".

Divisors: 1 3 9 37 111 333 431 1293 1369 3879 4107 12321 15947 47841 143523 590039 1770117 3954961 5310351 11864883 35594649 146333557 439000671 1317002013 1704588191 5113764573 5414341609 15341293719 16243024827 48729074481 63069763067 189209289201 567627867603 2333581233479 7000743700437 21002231101311