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21220002200121 = 31941942111811787
BaseRepresentation
bin1001101001100101010101…
…01100010111101000111001
32210010121112102211122212220
410310302222230113220321
510240132031030400441
6113044200123154253
74320044302434114
oct464625254275071
983117472748786
1021220002200121
11684139704612a
1224686b3975989
13bac0648668ca
145350a708157b
1526beaaac4466
hex134caab17a39

21220002200121 has 64 divisors (see below), whose sum is σ = 29966548147200. Its totient is φ = 13319610796800.

The previous prime is 21220002200099. The next prime is 21220002200141. The reversal of 21220002200121 is 12100220002212.

It is not a de Polignac number, because 21220002200121 - 29 = 21220002199609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21220002200121.

It is not an unprimeable number, because it can be changed into a prime (21220002200141) 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 63 ways as a sum of consecutive naturals, for example, 11874650590 + ... + 11874652376.

It is an arithmetic number, because the mean of its divisors is an integer number (468227314800).

Almost surely, 221220002200121 is an apocalyptic number.

It is an amenable number.

21220002200121 is a deficient number, since it is larger than the sum of its proper divisors (8746545947079).

21220002200121 is a wasteful number, since it uses less digits than its factorization.

21220002200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220002200121 its reverse (12100220002212), we get a palindrome (33320222202333).

The spelling of 21220002200121 in words is "twenty-one trillion, two hundred twenty billion, two million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 19 57 419 421 1181 1257 1263 1787 3543 5361 7961 7999 22439 23883 23997 33953 67317 101859 176399 494839 497201 529197 748753 752327 1484517 1491603 2110447 2246259 2256981 3351581 6331341 9401941 9446819 10054743 14226307 14294213 28205823 28340457 40098493 42678921 42882639 120295479 208327219 315225013 624981657 884277293 888498187 945675039 2652831879 2665494561 3958217161 5989275247 11874651483 16801268567 16881465553 17967825741 50403805701 50644396659 372280740353 1116842221059 7073334066707 21220002200121