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1210221122201 = 72132732001977
BaseRepresentation
bin10001100111000110110…
…011001101001010011001
311021200210101112220201222
4101213012303031022121
5124312013101402301
62323545022421425
7153302256544100
oct21470663151231
94250711486658
101210221122201
11427285300523
12176670731875
138a17b046600
1442809bab037
15217321c631b
hex119c6ccd299

1210221122201 has 36 divisors (see below), whose sum is σ = 1545314806332. Its totient is φ = 944420166144.

The previous prime is 1210221122171. The next prime is 1210221122237. The reversal of 1210221122201 is 1022211220121.

It can be written as a sum of positive squares in 6 ways, for example, as 122956123801 + 1087264998400 = 350651^2 + 1042720^2 .

It is not a de Polignac number, because 1210221122201 - 222 = 1210216927897 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 1210221122201.

It is not an unprimeable number, because it can be changed into a prime (1210221121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396476 + ... + 1605501.

It is an arithmetic number, because the mean of its divisors is an integer number (42925411287).

Almost surely, 21210221122201 is an apocalyptic number.

It is an amenable number.

1210221122201 is a deficient number, since it is larger than the sum of its proper divisors (335093684131).

1210221122201 is a wasteful number, since it uses less digits than its factorization.

1210221122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002090 (or 2002070 counting only the distinct ones).

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

Adding to 1210221122201 its reverse (1022211220121), we get a palindrome (2232432342322).

The spelling of 1210221122201 in words is "one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 7 13 49 73 91 169 511 637 949 1183 3577 6643 8281 12337 46501 86359 604513 2001977 14013839 26025701 98096873 146144321 182179907 338334113 1023010247 1275259349 1899876173 2368338791 7161071729 13299133211 16578371537 24698390249 93093932477 172888731743 1210221122201