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1130330310012 = 2233171921705397
BaseRepresentation
bin10000011100101100111…
…011111100010101111100
311000001120122220011021000
4100130230323330111330
5122004404024410022
62223133325210300
7144443432052231
oct20345473742574
94001518804230
101130330310012
113a6408aa0902
12163095400990
1382788721287
143c9cb735788
151e6085c46ac
hex1072cefc57c

1130330310012 has 144 divisors (see below), whose sum is σ = 3274773455520. Its totient is φ = 335949368832.

The previous prime is 1130330310007. The next prime is 1130330310013. The reversal of 1130330310012 is 2100130330311.

It is a happy number.

1130330310012 is a `hidden beast` number, since 1 + 13 + 0 + 330 + 310 + 0 + 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 (1130330310013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189903 + ... + 1515494.

It is an arithmetic number, because the mean of its divisors is an integer number (22741482330).

Almost surely, 21130330310012 is an apocalyptic number.

1130330310012 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 1130330310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637386727760).

1130330310012 is an abundant number, since it is smaller than the sum of its proper divisors (2144443145508).

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

1130330310012 is a wasteful number, since it uses less digits than its factorization.

1130330310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705465 (or 1705438 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1130330310012 its reverse (2100130330311), we get a palindrome (3230460640323).

The spelling of 1130330310012 in words is "one trillion, one hundred thirty billion, three hundred thirty million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 361 459 513 612 646 684 722 918 969 1026 1083 1292 1444 1836 1938 2052 2166 2907 3249 3876 4332 5814 6137 6498 8721 9747 11628 12274 12996 17442 18411 19494 24548 34884 36822 38988 55233 73644 110466 165699 220932 331398 662796 1705397 3410794 5116191 6821588 10232382 15348573 20464764 28991749 30697146 32402543 46045719 57983498 61394292 64805086 86975247 92091438 97207629 115966996 129610172 173950494 184182876 194415258 260925741 291622887 347900988 388830516 521851482 550843231 583245774 615648317 782777223 874868661 1043702964 1101686462 1166491548 1231296634 1565554446 1652529693 1749737322 1846944951 2203372924 2462593268 3131108892 3305059386 3499474644 3693889902 4957589079 5540834853 6610118772 7387779804 9915178158 10466021389 11081669706 14872767237 16622504559 19830356316 20932042778 22163339412 29745534474 31398064167 33245009118 41864085556 59491068948 62796128334 66490018236 94194192501 125592256668 188388385002 282582577503 376776770004 565165155006 1130330310012