Search a number
-
+
21212001111201 = 3417115127159357
BaseRepresentation
bin1001101001010110011011…
…10010101000110010100001
32210002211212211101020021020
410310223031302220302201
510240014134241024301
6113040354144120053
74316342106340215
oct464531562506241
983084784336236
1021212001111201
116838a606a464a
122467040306029
13bab38b031c74
145349485b2945
1526bb8d461436
hex134acdca8ca1

21212001111201 has 64 divisors (see below), whose sum is σ = 29684759150592. Its totient is φ = 13461940800000.

The previous prime is 21212001111187. The next prime is 21212001111211. The reversal of 21212001111201 is 10211110021212.

It is a happy number.

It is not a de Polignac number, because 21212001111201 - 211 = 21212001109153 is a prime.

It is a super-2 number, since 2×212120011112012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21212001111211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357333415 + ... + 357392771.

It is an arithmetic number, because the mean of its divisors is an integer number (463824361728).

Almost surely, 221212001111201 is an apocalyptic number.

It is an amenable number.

21212001111201 is a deficient number, since it is larger than the sum of its proper divisors (8472758039391).

21212001111201 is a wasteful number, since it uses less digits than its factorization.

21212001111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59894.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21212001111201 its reverse (10211110021212), we get a palindrome (31423111132413).

It can be divided in two parts, 212120011 and 11201, that added together give a palindrome (212131212).

The spelling of 21212001111201 in words is "twenty-one trillion, two hundred twelve billion, one million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 41 71 123 151 213 271 453 813 2911 6191 8733 10721 11111 18573 19241 32163 33333 40921 57723 59357 122763 178071 439561 788881 1318683 1677761 2366643 2433637 2905391 4214347 5033283 7300911 8716173 8962907 12643041 16085747 26888721 48257241 119121031 172788227 357363093 367479187 518364681 636366397 659515627 1102437561 1142088037 1909099191 1978546881 2428947797 3426264111 7286843391 26091022277 46825609517 78273066831 99586859677 140476828551 172455293587 298760579031 517365880761 7070667037067 21212001111201