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13122420201451 = 113563128313649
BaseRepresentation
bin1011111011110100110100…
…1100011101011111101011
31201110111021000201010000201
42332331031030131133223
53204444204032421301
643524205010213031
72523030543215611
oct276751514353753
951414230633021
1013122420201451
1141aa207115000
12157b267b84177
137425923b2442
143351b29696b1
1517b526d54201
hexbef4d31d7eb

13122420201451 has 32 divisors (see below), whose sum is σ = 14471643513600. Its totient is φ = 11898130414720.

The previous prime is 13122420201437. The next prime is 13122420201461. The reversal of 13122420201451 is 15410202422131.

It is a happy number.

It is not a de Polignac number, because 13122420201451 - 25 = 13122420201419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13122420201461) 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, 961413075 + ... + 961426723.

It is an arithmetic number, because the mean of its divisors is an integer number (452238859800).

Almost surely, 213122420201451 is an apocalyptic number.

13122420201451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122420201451 is a deficient number, since it is larger than the sum of its proper divisors (1349223312149).

13122420201451 is a wasteful number, since it uses less digits than its factorization.

13122420201451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 13122420201451 its reverse (15410202422131), we get a palindrome (28532622623582).

The spelling of 13122420201451 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred one thousand, four hundred fifty-one".

Divisors: 1 11 121 563 1283 1331 6193 13649 14113 68123 150139 155243 722329 749353 1651529 1707673 7684387 7945619 17511667 18166819 84528257 87401809 192628337 929810827 961419899 2118911707 9859068521 10227919097 23308028777 108449753731 1192947291041 13122420201451