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21413001201111 = 3213253787333739
BaseRepresentation
bin1001101111001100110100…
…10101001000010111010111
32210211001200212111202012200
410313212122111020113113
510301312311301413421
6113312555201415543
74340016063041232
oct467463225102727
983731625452180
1021413001201111
116906225a40133
122499b9693a5b3
13bc43115c0200
14540575426419
152720045d3726
hex13799a5485d7

21413001201111 has 72 divisors (see below), whose sum is σ = 34129402922160. Its totient is φ = 12926579208192.

The previous prime is 21413001201091. The next prime is 21413001201149. The reversal of 21413001201111 is 11110210031412.

21413001201111 is a `hidden beast` number, since 21 + 413 + 0 + 0 + 120 + 1 + 111 = 666.

It is a de Polignac number, because none of the positive numbers 2k-21413001201111 is a prime.

It is a super-2 number, since 2×214130012011112 (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 (21413001201181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634649280 + ... + 634683018.

It is an arithmetic number, because the mean of its divisors is an integer number (474019485030).

Almost surely, 221413001201111 is an apocalyptic number.

21413001201111 is a deficient number, since it is larger than the sum of its proper divisors (12716401721049).

21413001201111 is a wasteful number, since it uses less digits than its factorization.

21413001201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41697 (or 41681 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 21413001201111 its reverse (11110210031412), we get a palindrome (32523211232523).

The spelling of 21413001201111 in words is "twenty-one trillion, four hundred thirteen billion, one million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 9 13 39 53 117 159 169 477 507 689 1521 2067 6201 7873 8957 23619 26871 33739 70857 80613 101217 102349 303651 307047 417269 438607 921141 1251807 1315821 1330537 1788167 3755421 3947463 3991611 5364501 5424497 5701891 11974833 16093503 16273491 17105673 23246171 48820473 51317019 69738513 70518461 209215539 211555383 265627147 302200223 634666149 796881441 906600669 2390644323 2719802007 3453152911 10359458733 14078238791 31078376199 42234716373 44890987843 126704149119 134672963529 183017104283 404018890587 549051312849 1647153938547 2379222355679 7137667067037 21413001201111