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121352202401 = 739726963709
BaseRepresentation
bin111000100000100100…
…1111010100010100001
3102121020020120121110212
41301001021322202201
53442012130434101
6131425354503505
711524135462313
oct1610111724241
9377206517425
10121352202401
1147513177871
121b628734b95
13b59c39c031
145c32b757b3
153253a581bb
hex1c4127a8a1

121352202401 has 16 divisors (see below), whose sum is σ = 124746728400. Its totient is φ = 118013718528.

The previous prime is 121352202397. The next prime is 121352202473. The reversal of 121352202401 is 104202253121.

It can be written as a sum of positive squares in 8 ways, for example, as 27715590400 + 93636612001 = 166480^2 + 306001^2 .

It is a cyclic number.

It is not a de Polignac number, because 121352202401 - 22 = 121352202397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121352202001) 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, 1872935 + ... + 1936643.

It is an arithmetic number, because the mean of its divisors is an integer number (7796670525).

Almost surely, 2121352202401 is an apocalyptic number.

It is an amenable number.

121352202401 is a deficient number, since it is larger than the sum of its proper divisors (3394525999).

121352202401 is an equidigital number, since it uses as much as digits as its factorization.

121352202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64148.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 121352202401 its reverse (104202253121), we get a palindrome (225554455522).

The spelling of 121352202401 in words is "one hundred twenty-one billion, three hundred fifty-two million, two hundred two thousand, four hundred one".

Divisors: 1 73 97 269 7081 19637 26093 63709 1904789 4650757 6179773 17137721 451123429 1251053633 1662358937 121352202401