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1311122201112 = 233231587420341
BaseRepresentation
bin10011000101000100111…
…110010001101000011000
311122100020100201210212200
4103011010332101220120
5132440134240413422
62442153215010200
7163503554553603
oct23050476215030
94570210653780
101311122201112
11466053335539
12192130209960
139683b439829
144765c78933a
152418a5a22ac
hex13144f91a18

1311122201112 has 48 divisors (see below), whose sum is σ = 3665502934080. Its totient is φ = 422942644800.

The previous prime is 1311122201101. The next prime is 1311122201117. The reversal of 1311122201112 is 2111022211131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311122201117) 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 11 ways as a sum of consecutive naturals, for example, 293707939 + ... + 293712402.

It is an arithmetic number, because the mean of its divisors is an integer number (76364644460).

Almost surely, 21311122201112 is an apocalyptic number.

1311122201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311122201112 is an abundant number, since it is smaller than the sum of its proper divisors (2354380732968).

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

1311122201112 is a wasteful number, since it uses less digits than its factorization.

1311122201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587420384 (or 587420377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1311122201112 its reverse (2111022211131), we get a palindrome (3422144412243).

The spelling of 1311122201112 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 587420341 1174840682 1762261023 2349681364 3524522046 4699362728 5286783069 7049044092 10573566138 14098088184 18210030571 21147132276 36420061142 42294264552 54630091713 72840122284 109260183426 145680244568 163890275139 218520366852 327780550278 437040733704 655561100556 1311122201112