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202120221212221 = 13241199857171043
BaseRepresentation
bin101101111101001111000111…
…111111001011111000111101
3222111122111121201220021011011
4231331033013333023320331
5202443014203112242341
61553512425304155221
760400463334260554
oct5575170777137075
9874574551807134
10202120221212221
115944678267a274
121a804305168b11
1388a1b167b0a00
1437ca956d60d9b
15185792666bb81
hexb7d3c7fcbe3d

202120221212221 has 48 divisors (see below), whose sum is σ = 225592941974400. Its totient is φ = 180894894935040.

The previous prime is 202120221212123. The next prime is 202120221212233. The reversal of 202120221212221 is 122212122021202.

It is not a de Polignac number, because 202120221212221 - 221 = 202120219115069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202120221212192 and 202120221212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120221212291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1181606926 + ... + 1181777968.

It is an arithmetic number, because the mean of its divisors is an integer number (4699852957800).

Almost surely, 2202120221212221 is an apocalyptic number.

It is an amenable number.

202120221212221 is a deficient number, since it is larger than the sum of its proper divisors (23472720762179).

202120221212221 is a wasteful number, since it uses less digits than its factorization.

202120221212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172166 (or 172153 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202120221212221 its reverse (122212122021202), we get a palindrome (324332343233423).

The spelling of 202120221212221 in words is "two hundred two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 13 41 169 199 533 857 2587 6929 8159 11141 33631 35137 106067 144833 170543 171043 456781 1378871 2217059 2223559 5938153 6992263 7012763 28821767 28906267 34037557 90899419 91165919 146583851 442488241 1181692447 1185156947 1395539837 1905590063 5752347133 6009937891 18142017881 24772670819 29170186349 78129192583 235846232453 379212422537 1015679503579 1195977640309 4929761492981 15547709324017 202120221212221