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313322131101 = 371939472297
BaseRepresentation
bin1001000111100110111…
…01000100111010011101
31002221201221212102000010
410203303131010322131
520113140431143401
6355534352353433
731431262112610
oct4436335047235
91087657772003
10313322131101
111109741a1601
1250882b45879
1323713b79815
14112445a2177
15823c041ed6
hex48f3744e9d

313322131101 has 64 divisors (see below), whose sum is σ = 504715806720. Its totient is φ = 169365119616.

The previous prime is 313322131049. The next prime is 313322131193. The reversal of 313322131101 is 101131223313.

It is a happy number.

It is not a de Polignac number, because 313322131101 - 211 = 313322129053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313322131301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136403785 + ... + 136406081.

It is an arithmetic number, because the mean of its divisors is an integer number (7886184480).

Almost surely, 2313322131101 is an apocalyptic number.

It is an amenable number.

313322131101 is a deficient number, since it is larger than the sum of its proper divisors (191393675619).

313322131101 is an equidigital number, since it uses as much as digits as its factorization.

313322131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313322131101 its reverse (101131223313), we get a palindrome (414453354414).

The spelling of 313322131101 in words is "three hundred thirteen billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 19 21 57 133 361 399 947 1083 2297 2527 2841 6629 6859 6891 7581 16079 17993 19887 20577 43643 48013 48237 53979 125951 130929 144039 305501 341867 377853 829217 916503 1025601 2175259 2393069 2487651 5804519 6495473 6525777 7179207 15226813 15755123 17413557 19486419 41329921 45468311 45680439 47265369 110285861 123989763 136404933 289309447 330857583 785268499 867928341 2355805497 5496879493 14920101481 16490638479 44760304443 104440710367 313322131101