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21202120121202 = 23237127293855527
BaseRepresentation
bin1001101001000100000001…
…10101101001101101110010
32210001220101012112221011200
410310202000311221231302
510234333420222334302
6113032041452152030
74315542205324206
oct464420065515562
983056335487150
1021202120121202
116834850085609
122465143168616
13baa474bb2c17
1453428c18cb06
1526b7b0c6081c
hex134880d69b72

21202120121202 has 96 divisors (see below), whose sum is σ = 47713330409472. Its totient is φ = 6798926719872.

The previous prime is 21202120121179. The next prime is 21202120121257. The reversal of 21202120121202 is 20212102120212.

It is a happy number.

21202120121202 is a `hidden beast` number, since 21 + 202 + 120 + 121 + 202 = 666.

It is a super-2 number, since 2×212021201212022 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24354763 + ... + 25210289.

It is an arithmetic number, because the mean of its divisors is an integer number (497013858432).

Almost surely, 221202120121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202120121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23856665204736).

21202120121202 is an abundant number, since it is smaller than the sum of its proper divisors (26511210288270).

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

21202120121202 is a wasteful number, since it uses less digits than its factorization.

21202120121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855992 (or 855989 counting only the distinct ones).

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

Adding to 21202120121202 its reverse (20212102120212), we get a palindrome (41414222241414).

The spelling of 21202120121202 in words is "twenty-one trillion, two hundred two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 293 333 381 586 666 762 879 1143 1758 2286 2637 4699 5274 9398 10841 14097 21682 28194 32523 37211 42291 65046 74422 84582 97569 111633 195138 223266 334899 669798 855527 1376807 1711054 2566581 2753614 4130421 5133162 7699743 8260842 12391263 15399486 24782526 31654499 63308998 94963497 108651929 189926994 217303858 250669411 284890491 325955787 501338822 569780982 651911574 752008233 977867361 1504016466 1955734722 2256024699 4020121373 4512049398 8040242746 9274768207 12060364119 18549536414 24120728238 27824304621 31835015197 36181092357 55648609242 63670030394 72362184714 83472913863 95505045591 166945827726 191010091182 286515136773 573030273546 1177895562289 2355791124578 3533686686867 7067373373734 10601060060601 21202120121202