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1103311320012 = 22321121811399367
BaseRepresentation
bin10000000011100010011…
…110101011001111001100
310220110211122220020211200
4100003202132223033030
5121034040144220022
62202504302345500
7142466040324516
oct20034236531714
93813748806750
101103311320012
11395a03527800
121599b488b290
1380070b21c25
143b58718cbb6
151da7653cbac
hex100e27ab3cc

1103311320012 has 108 divisors (see below), whose sum is σ = 3082452264528. Its totient is φ = 332489361600.

The previous prime is 1103311319969. The next prime is 1103311320019. The reversal of 1103311320012 is 2100231133011.

1103311320012 is a `hidden beast` number, since 1 + 1 + 0 + 331 + 1 + 320 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1103311320019) 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 35 ways as a sum of consecutive naturals, for example, 88753 + ... + 1488119.

Almost surely, 21103311320012 is an apocalyptic number.

1103311320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103311320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541226132264).

1103311320012 is an abundant number, since it is smaller than the sum of its proper divisors (1979140944516).

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

1103311320012 is a wasteful number, since it uses less digits than its factorization.

1103311320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399580 (or 1399564 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1103311320012 its reverse (2100231133011), we get a palindrome (3203542453023).

The spelling of 1103311320012 in words is "one trillion, one hundred three billion, three hundred eleven million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 181 198 242 362 363 396 484 543 724 726 1086 1089 1452 1629 1991 2172 2178 3258 3982 4356 5973 6516 7964 11946 17919 21901 23892 35838 43802 65703 71676 87604 131406 197109 262812 394218 788436 1399367 2798734 4198101 5597468 8396202 12594303 15393037 16792404 25188606 30786074 46179111 50377212 61572148 92358222 138537333 169323407 184716444 253285427 277074666 338646814 506570854 507970221 554149332 677293628 759856281 1013141708 1015940442 1519712562 1523910663 2031880884 2279568843 2786139697 3039425124 3047821326 4559137686 5572279394 6095642652 8358419091 9118275372 11144558788 16716838182 25075257273 30647536667 33433676364 50150514546 61295073334 91942610001 100301029092 122590146668 183885220002 275827830003 367770440004 551655660006 1103311320012