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10241211214201 = 113130032877461
BaseRepresentation
bin1001010100000111011111…
…0000011010100101111001
31100021001100121200112100111
42111001313300122211321
52320243000032323301
633440425242304321
72104621522004662
oct225016760324571
940231317615314
1010241211214201
113299300819430
121194994ab80a1
13593985449836
1427596a5ca369
1512b5e63a2551
hex95077c1a979

10241211214201 has 8 divisors (see below), whose sum is σ = 11532624945408. Its totient is φ = 9009863238000.

The previous prime is 10241211214177. The next prime is 10241211214301.

10241211214201 is nontrivially palindromic in base 10.

10241211214201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10241211214201 - 211 = 10241211212153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10241211214001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15016438390 + ... + 15016439071.

It is an arithmetic number, because the mean of its divisors is an integer number (1441578118176).

Almost surely, 210241211214201 is an apocalyptic number.

10241211214201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241211214201 is a deficient number, since it is larger than the sum of its proper divisors (1291413731207).

10241211214201 is a wasteful number, since it uses less digits than its factorization.

10241211214201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30032877503.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 1024121 and 1214201, that added together give a palindrome (2238322).

The spelling of 10241211214201 in words is "ten trillion, two hundred forty-one billion, two hundred eleven million, two hundred fourteen thousand, two hundred one".

Divisors: 1 11 31 341 30032877461 330361652071 931019201291 10241211214201