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10941369201 = 32721722932
BaseRepresentation
bin10100011000010100…
…00000101101110001
31001020112010010220100
422030022000231301
5134401442303301
65005411303013
7535065050400
oct121412005561
931215103810
1010941369201
114705132694
1221542aaa69
131054a39979
1475b1ab637
1544085c286
hex28c280b71

10941369201 has 81 divisors (see below), whose sum is σ = 19596412641. Its totient is φ = 5864350464.

The previous prime is 10941369199. The next prime is 10941369223. The reversal of 10941369201 is 10296314901.

It is a happy number.

The square root of 10941369201 is 104601.

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

10941369201 is a `hidden beast` number, since 1 + 0 + 94 + 1 + 369 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6138879201 + 4802490000 = 78351^2 + 69300^2 .

It is not a de Polignac number, because 10941369201 - 21 = 10941369199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10941369001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37342411 + ... + 37342703.

Almost surely, 210941369201 is an apocalyptic number.

10941369201 is the 104601-st square number.

10941369201 is the 52301-st centered octagonal number.

It is an amenable number.

10941369201 is a deficient number, since it is larger than the sum of its proper divisors (8655043440).

10941369201 is an equidigital number, since it uses as much as digits as its factorization.

10941369201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 10941369201 by its sum of digits (36), we get a square (393889291236 = 6276062).

Multiplying 10941369201 by its product of nonzero digits (11664), we get a square (127620130360464 = 112969082).

The spelling of 10941369201 in words is "ten billion, nine hundred forty-one million, three hundred sixty-nine thousand, two hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 293 357 441 833 867 879 1071 2023 2051 2499 2601 2637 4981 6069 6153 7497 14161 14357 14943 18207 18459 34867 42483 43071 44829 84677 85849 104601 127449 129213 244069 254031 257547 313803 592739 600943 732207 762093 772641 1459433 1778217 1802829 2196621 4149173 4206601 4378299 5334651 5408487 10216031 12447519 12619803 13134897 24810361 30648093 37342557 37859409 71512217 74431083 91944279 173672527 214536651 223293249 521017581 643609953 1215707689 1563052743 3647123067 10941369201