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122527468401 = 3133141729959
BaseRepresentation
bin111001000011100110…
…1001100101101110001
3102201021011001022100020
41302013031030231301
54001414012442101
6132142140514053
711565226203642
oct1620715145561
9381234038306
10122527468401
1147a6661a588
121b8b624b929
13b728a133c0
145d04ca76c9
1532c1d0a136
hex1c8734cb71

122527468401 has 8 divisors (see below), whose sum is σ = 175936877760. Its totient is φ = 75401518992.

The previous prime is 122527468367. The next prime is 122527468409. The reversal of 122527468401 is 104864725221.

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

It is not a de Polignac number, because 122527468401 - 215 = 122527435633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122527468409) 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 7 ways as a sum of consecutive naturals, for example, 1570864941 + ... + 1570865018.

It is an arithmetic number, because the mean of its divisors is an integer number (21992109720).

Almost surely, 2122527468401 is an apocalyptic number.

It is an amenable number.

122527468401 is a deficient number, since it is larger than the sum of its proper divisors (53409409359).

122527468401 is a wasteful number, since it uses less digits than its factorization.

122527468401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141729975.

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 122527468401 in words is "one hundred twenty-two billion, five hundred twenty-seven million, four hundred sixty-eight thousand, four hundred one".

Divisors: 1 3 13 39 3141729959 9425189877 40842489467 122527468401