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1131101133012 = 223336728537217
BaseRepresentation
bin10000011101011010111…
…000011001100011010100
311000010120101100000122000
4100131122320121203110
5122012443342224022
62223342022435300
7144501511665504
oct20353270314324
94003511300560
101131101133012
113a6774113604
1216326b592b30
138287c329966
143ca61c67a04
151e6510d66ac
hex1075ae198d4

1131101133012 has 48 divisors (see below), whose sum is σ = 2940474942720. Its totient is φ = 376006358016.

The previous prime is 1131101133011. The next prime is 1131101133023. The reversal of 1131101133012 is 2103311011311.

1131101133012 is a `hidden beast` number, since 1 + 1 + 311 + 0 + 11 + 330 + 12 = 666.

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 (1131101133011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14228973 + ... + 14308244.

It is an arithmetic number, because the mean of its divisors is an integer number (61259894640).

Almost surely, 21131101133012 is an apocalyptic number.

1131101133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131101133012 is an abundant number, since it is smaller than the sum of its proper divisors (1809373809708).

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

1131101133012 is a wasteful number, since it uses less digits than its factorization.

1131101133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28537597 (or 28537589 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131101133012 its reverse (2103311011311), we get a palindrome (3234412144323).

The spelling of 1131101133012 in words is "one trillion, one hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 367 734 1101 1468 2202 3303 4404 6606 9909 13212 19818 39636 28537217 57074434 85611651 114148868 171223302 256834953 342446604 513669906 770504859 1027339812 1541009718 3082019436 10473158639 20946317278 31419475917 41892634556 62838951834 94258427751 125677903668 188516855502 282775283253 377033711004 565550566506 1131101133012