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1311213013038 = 232607659182107
BaseRepresentation
bin10011000101001010011…
…000101100100000101110
311122100110200121112102100
4103011022120230200232
5132440331012404123
62442210221235530
7163506036500445
oct23051230544056
94570420545370
101311213013038
1146609a620915
12192156702ba6
13968541b41b6
144766a867d5c
152419353e643
hex1314a62c82e

1311213013038 has 48 divisors (see below), whose sum is σ = 2849975631360. Its totient is φ = 435686419728.

The previous prime is 1311213013037. The next prime is 1311213013049. The reversal of 1311213013038 is 8303103121131.

It is a happy number.

1311213013038 is a `hidden beast` number, since 1 + 31 + 1 + 21 + 301 + 303 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311213013031) 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 23 ways as a sum of consecutive naturals, for example, 7109181 + ... + 7291287.

It is an arithmetic number, because the mean of its divisors is an integer number (59374492320).

Almost surely, 21311213013038 is an apocalyptic number.

1311213013038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1311213013038 is an abundant number, since it is smaller than the sum of its proper divisors (1538762618322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311213013038 is a wasteful number, since it uses less digits than its factorization.

1311213013038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183381 (or 183378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1311213013038 its reverse (8303103121131), we get a palindrome (9614316134169).

The spelling of 1311213013038 in words is "one trillion, three hundred eleven billion, two hundred thirteen million, thirteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 607 659 1214 1318 1821 1977 3642 3954 5463 5931 10926 11862 182107 364214 400013 546321 800026 1092642 1200039 1638963 2400078 3277926 3600117 7200234 110538949 120008513 221077898 240017026 331616847 360025539 663233694 720051078 994850541 1080076617 1989701082 2160153234 72845167391 145690334782 218535502173 437071004346 655606506519 1311213013038