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1332113200041 = 313832843144751
BaseRepresentation
bin10011011000101000001…
…000100101001110101001
311201100102021000001002110
4103120220020211032221
5133311131434400131
62455544144552533
7165146002242321
oct23305010451651
94640367001073
101332113200041
11473a4519a738
1219620a022749
139880521c660
1448690518281
15249b8322646
hex136282253a9

1332113200041 has 32 divisors (see below), whose sum is σ = 1936517732352. Its totient is φ = 809594856000.

The previous prime is 1332113200031. The next prime is 1332113200043. The reversal of 1332113200041 is 1400023112331.

It is not a de Polignac number, because 1332113200041 - 27 = 1332113199913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1332113199990 and 1332113200017.

It is not an unprimeable number, because it can be changed into a prime (1332113200043) 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 31 ways as a sum of consecutive naturals, for example, 9130416 + ... + 9275166.

It is an arithmetic number, because the mean of its divisors is an integer number (60516179136).

Almost surely, 21332113200041 is an apocalyptic number.

It is an amenable number.

1332113200041 is a deficient number, since it is larger than the sum of its proper divisors (604404532311).

1332113200041 is a wasteful number, since it uses less digits than its factorization.

1332113200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147693.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1332113200041 its reverse (1400023112331), we get a palindrome (2732136312372).

The spelling of 1332113200041 in words is "one trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred thousand, forty-one".

Divisors: 1 3 13 39 83 249 1079 2843 3237 8529 36959 110877 144751 235969 434253 707907 1881763 3067597 5645289 9202791 12014333 36042999 156186329 411527093 468558987 1234581279 5349852209 16049556627 34156748719 102470246157 444037733347 1332113200041