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134012422401 = 31121334981371
BaseRepresentation
bin111110011001111000…
…0110100100100000001
3110210220120000102101220
41330303300310210001
54143424140004101
6141321531145253
712452644536564
oct1746360644401
9423816012356
10134012422401
115191a578500
1221b805a5229
13c839255580
1466b43344db
15374523e636
hex1f33c34901

134012422401 has 48 divisors (see below), whose sum is σ = 212120529600. Its totient is φ = 74756246400.

The previous prime is 134012422331. The next prime is 134012422447. The reversal of 134012422401 is 104224210431.

It is a de Polignac number, because none of the positive numbers 2k-134012422401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (134012424401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606246 + ... + 1687616.

It is an arithmetic number, because the mean of its divisors is an integer number (4419177700).

Almost surely, 2134012422401 is an apocalyptic number.

134012422401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134012422401 is a deficient number, since it is larger than the sum of its proper divisors (78108107199).

134012422401 is a wasteful number, since it uses less digits than its factorization.

134012422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81758 (or 81747 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134012422401 its reverse (104224210431), we get a palindrome (238236632832).

The spelling of 134012422401 in words is "one hundred thirty-four billion, twelve million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 11 13 33 39 121 143 349 363 429 1047 1573 3839 4537 4719 11517 13611 42229 49907 81371 126687 149721 244113 548977 895081 1057823 1646931 2685243 3173469 9845891 11636053 28398479 29537673 34908159 85195437 127996583 312383269 369180227 383989749 937149807 1107540681 3436215959 4060982497 10308647877 12182947491 44670807467 134012422401