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3272441202121 = 7213210321932
BaseRepresentation
bin101111100111101100101…
…100100000010111001001
3102120211202001110022120111
4233213230230200113021
5412103424421431441
610543201055554321
7455266100160100
oct57475454402711
912524661408514
103272441202121
11105191a823263
1244a279b2b9a1
131a9788c7a100
14b455bcd7037
155a1cc78d081
hex2f9ecb205c9

3272441202121 has 81 divisors (see below), whose sum is σ = 4184154266229. Its totient is φ = 2550761321472.

The previous prime is 3272441202097. The next prime is 3272441202131. The reversal of 3272441202121 is 1212021442723.

The square root of 3272441202121 is 1808989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1234456545721 + 2037984656400 = 1111061^2 + 1427580^2 .

It is not a de Polignac number, because 3272441202121 - 215 = 3272441169353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3272441202131) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16955653801 + ... + 16955653993.

It is an arithmetic number, because the mean of its divisors is an integer number (51656225509).

Almost surely, 23272441202121 is an apocalyptic number.

3272441202121 is the 1808989-th square number.

3272441202121 is the 904495-th centered octagonal number.

It is an amenable number.

3272441202121 is a deficient number, since it is larger than the sum of its proper divisors (911713064108).

3272441202121 is an equidigital number, since it uses as much as digits as its factorization.

3272441202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 3272441202121 its reverse (1212021442723), we get a palindrome (4484462644844).

The spelling of 3272441202121 in words is "three trillion, two hundred seventy-two billion, four hundred forty-one million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 103 169 193 637 721 1183 1339 1351 2509 5047 8281 9373 9457 10609 17407 17563 19879 32617 37249 65611 74263 121849 122941 137917 139153 228319 258427 260743 484237 519841 852943 965419 974071 1598233 1792921 1808989 1825201 2047537 3359551 3389659 3836647 6295081 6757933 12550447 12662923 14332759 23516857 23727613 26617981 26856529 44065567 49876411 87853129 100329313 164617999 186325867 187995703 308458969 346033753 349134877 395174641 648393343 1304281069 2422236271 2443944139 2766222487 4538753401 5137270333 16955653897 19363557409 31771273807 35960892331 66784514329 251726246317 467491600303 3272441202121