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202202002121 = 7101487587269
BaseRepresentation
bin1011110001010000101…
…1011011001011001001
3201022220210201222112112
42330110023123023021
511303102203031441
6232520150352105
720415516442160
oct2742413331311
9638823658475
10202202002121
1178831838a69
123323105b635
13160b55a1c02
149b027203d7
1553d69394eb
hex2f142db2c9

202202002121 has 16 divisors (see below), whose sum is σ = 233855612160. Its totient is φ = 171247348800.

The previous prime is 202202002097. The next prime is 202202002127. The reversal of 202202002121 is 121200202202.

202202002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202202002121 - 210 = 202202001097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202202002096 and 202202002105.

It is not an unprimeable number, because it can be changed into a prime (202202002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50675 + ... + 637943.

It is an arithmetic number, because the mean of its divisors is an integer number (14615975760).

Almost surely, 2202202002121 is an apocalyptic number.

It is an amenable number.

202202002121 is a deficient number, since it is larger than the sum of its proper divisors (31653610039).

202202002121 is a wasteful number, since it uses less digits than its factorization.

202202002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587864.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202202002121 its reverse (121200202202), we get a palindrome (323402204323).

The spelling of 202202002121 in words is "two hundred two billion, two hundred two million, two thousand, one hundred twenty-one".

Divisors: 1 7 101 487 707 3409 49187 344309 587269 4110883 59314169 286000003 415199183 2002000021 28886000303 202202002121