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34235461132221 = 3472039214155619
BaseRepresentation
bin1111100100011000100000…
…11111111101111110111101
311111012212201011001022100010
413302030100133331332331
513441403211022212341
6200451315334253433
710132300433115426
oct762142037757675
9144185634038303
1034235461132221
11a9aa1a5324368
123a0b08a7b7279
13161450c17450b
1486501023264d
153e58224c5716
hex1f23107fdfbd

34235461132221 has 32 divisors (see below), whose sum is σ = 46663987507200. Its totient is φ = 22316246409920.

The previous prime is 34235461132177. The next prime is 34235461132237. The reversal of 34235461132221 is 12223116453243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34235461132221 - 26 = 34235461132157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34235461132221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235461132261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615507550 + ... + 615563168.

It is an arithmetic number, because the mean of its divisors is an integer number (1458249609600).

Almost surely, 234235461132221 is an apocalyptic number.

It is an amenable number.

34235461132221 is a deficient number, since it is larger than the sum of its proper divisors (12428526374979).

34235461132221 is a wasteful number, since it uses less digits than its factorization.

34235461132221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59849.

The product of its digits is 207360, while the sum is 39.

Adding to 34235461132221 its reverse (12223116453243), we get a palindrome (46458577585464).

The spelling of 34235461132221 in words is "thirty-four trillion, two hundred thirty-five billion, four hundred sixty-one million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 47 141 2039 2141 6117 6423 55619 95833 100627 166857 287499 301881 2614093 4365499 7842279 13096497 113407141 119080279 205178453 340221423 357240837 615535359 5330135627 5596773113 15990406881 16790319339 242804688881 728414066643 11411820377407 34235461132221