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202202110000121 = 71117691223546559
BaseRepresentation
bin101101111110011011011000…
…111100000111101111111001
3222111221022222201002201001112
4231332123120330013233321
5203000334410130000441
61554014211133130105
760406422532423460
oct5576333074075771
9874838881081045
10202202110000121
1159478484773690
121a818159629935
1388a9767021baa
1437d08c48c59d7
151859b1a8814eb
hexb7e6d8f07bf9

202202110000121 has 32 divisors (see below), whose sum is σ = 267311611330560. Its totient is φ = 148077240019200.

The previous prime is 202202110000097. The next prime is 202202110000127. The reversal of 202202110000121 is 121000011202202.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202202110000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202202110000096 and 202202110000105.

It is not an unprimeable number, because it can be changed into a prime (202202110000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110868761 + ... + 112677798.

It is an arithmetic number, because the mean of its divisors is an integer number (8353487854080).

Almost surely, 2202202110000121 is an apocalyptic number.

It is an amenable number.

202202110000121 is a deficient number, since it is larger than the sum of its proper divisors (65109501330439).

202202110000121 is a wasteful number, since it uses less digits than its factorization.

202202110000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223547285.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202202110000121 its reverse (121000011202202), we get a palindrome (323202121202323).

The spelling of 202202110000121 in words is "two hundred two trillion, two hundred two billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 17 77 119 187 691 1309 4837 7601 11747 53207 82229 129217 904519 223546559 1564825913 2459012149 3800291503 17213085043 26602040521 41803206533 154470672269 292622445731 1081294705883 1699177394959 2626001428573 11894241764713 18382010000011 28886015714303 202202110000121