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2210211202121 = 131491834162213
BaseRepresentation
bin100000001010011010110…
…110101000010001001001
321211021221102022100102122
4200022122312220101021
5242203003031431441
64411205040341025
7315453044145446
oct40123266502111
97737842270378
102210211202121
117823886702aa
122b842b314775
1313056424aa80
1478d90b909cd
153c75cb2d34b
hex2029ada8449

2210211202121 has 16 divisors (see below), whose sum is σ = 2396371294800. Its totient is φ = 2026359310080.

The previous prime is 2210211202103. The next prime is 2210211202139. The reversal of 2210211202121 is 1212021120122.

It is an interprime number because it is at equal distance from previous prime (2210211202103) and next prime (2210211202139).

It can be written as a sum of positive squares in 8 ways, for example, as 1434578712121 + 775632490000 = 1197739^2 + 880700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210211202121 - 210 = 2210211201097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2210211202121.

It is not an unprimeable number, because it can be changed into a prime (2210211202141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35495411 + ... + 35557623.

It is an arithmetic number, because the mean of its divisors is an integer number (149773205925).

Almost surely, 22210211202121 is an apocalyptic number.

It is an amenable number.

2210211202121 is a deficient number, since it is larger than the sum of its proper divisors (186160092679).

2210211202121 is a wasteful number, since it uses less digits than its factorization.

2210211202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80716.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2210211202121 its reverse (1212021120122), we get a palindrome (3422232322243).

The spelling of 2210211202121 in words is "two trillion, two hundred ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 13 149 1937 18341 62213 238433 808769 2732809 9269737 35526517 120506581 1141048633 14833632229 170016246317 2210211202121