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211144230202241 = 71312831283634157
BaseRepresentation
bin110000000000100011011000…
…110101100110101110000001
31000200121012011102212011012002
4300000203120311212232001
5210133341340412432431
62025022153102513345
762321444600141450
oct6000433065465601
91020535142764162
10211144230202241
1161305846480a06
121b8211bb595855
1390a7a7a79696b
143a1d614542b97
15196252ca133cb
hexc008d8d66b81

211144230202241 has 32 divisors (see below), whose sum is σ = 244199492748288. Its totient is φ = 178824838720320.

The previous prime is 211144230202231. The next prime is 211144230202303. The reversal of 211144230202241 is 142202032441112.

It is a cyclic number.

It is not a de Polignac number, because 211144230202241 - 210 = 211144230201217 is a prime.

It is a super-2 number, since 2×2111442302022412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211144230202231) 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 31 ways as a sum of consecutive naturals, for example, 332635535 + ... + 333269691.

It is an arithmetic number, because the mean of its divisors is an integer number (7631234148384).

Almost surely, 2211144230202241 is an apocalyptic number.

It is an amenable number.

211144230202241 is a deficient number, since it is larger than the sum of its proper divisors (33055262546047).

211144230202241 is a wasteful number, since it uses less digits than its factorization.

211144230202241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635861.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 211144230202241 its reverse (142202032441112), we get a palindrome (353346262643353).

The spelling of 211144230202241 in words is "two hundred eleven trillion, one hundred forty-four billion, two hundred thirty million, two hundred two thousand, two hundred forty-one".

Divisors: 1 7 131 283 917 1283 1981 8981 37073 168073 259511 363089 634157 1176511 2541623 4439099 47564659 83074567 179466431 332952613 581521969 813623431 1256265017 5695364017 23510102461 106584669461 164570717227 230255430973 746092686227 1611788016811 30163461457463 211144230202241