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31342400301 = 3316119927763
BaseRepresentation
bin11101001100001001…
…110001001100101101
32222220022020220101210
4131030021301030231
51003142123302201
622222024225033
72156460002232
oct351411611455
988808226353
1031342400301
1112323a71273
1260a860b179
132c565272c4
141734845789
15c368e21d6
hex74c27132d

31342400301 has 32 divisors (see below), whose sum is σ = 44067020800. Its totient is φ = 19788753600.

The previous prime is 31342400293. The next prime is 31342400317. The reversal of 31342400301 is 10300424313.

It is not a de Polignac number, because 31342400301 - 23 = 31342400293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31342407301) 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, 1115046 + ... + 1142808.

It is an arithmetic number, because the mean of its divisors is an integer number (1377094400).

Almost surely, 231342400301 is an apocalyptic number.

31342400301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31342400301 is a deficient number, since it is larger than the sum of its proper divisors (12724620499).

31342400301 is a wasteful number, since it uses less digits than its factorization.

31342400301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31342400301 its reverse (10300424313), we get a palindrome (41642824614).

The spelling of 31342400301 in words is "thirty-one billion, three hundred forty-two million, four hundred thousand, three hundred one".

Divisors: 1 3 31 61 93 183 199 597 1891 5673 6169 12139 18507 27763 36417 83289 376309 860653 1128927 1693543 2581959 5080629 5524837 16574511 52499833 157499499 171269947 337015057 513809841 1011045171 10447466767 31342400301