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1012321032012 = 2233661130310883
BaseRepresentation
bin11101011101100110000…
…10010001011101001100
310120202222101121200222000
432232303002101131030
5113041213141011022
62053015344552300
7133065154540113
oct16566302213514
93522871550860
101012321032012
11360360916684
12144240322690
13745ccab3224
1436dd4950c7a
151b4ed29c6ac
hexebb309174c

1012321032012 has 96 divisors (see below), whose sum is σ = 2630765544960. Its totient is φ = 336640328640.

The previous prime is 1012321031993. The next prime is 1012321032013. The reversal of 1012321032012 is 2102301232101.

1012321032012 is a `hidden beast` number, since 1 + 0 + 12 + 321 + 0 + 320 + 12 = 666.

1012321032012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1012321032013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93013123 + ... + 93024005.

It is an arithmetic number, because the mean of its divisors is an integer number (27403807760).

Almost surely, 21012321032012 is an apocalyptic number.

1012321032012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012321032012 is an abundant number, since it is smaller than the sum of its proper divisors (1618444512948).

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

1012321032012 is a wasteful number, since it uses less digits than its factorization.

1012321032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012321032012 its reverse (2102301232101), we get a palindrome (3114622264113).

The spelling of 1012321032012 in words is "one trillion, twelve billion, three hundred twenty-one million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 661 1303 1322 1983 2606 2644 3909 3966 5212 5949 7818 7932 10883 11727 11898 15636 17847 21766 23454 23796 32649 35181 35694 43532 46908 65298 70362 71388 97947 130596 140724 195894 293841 391788 587682 861283 1175364 1722566 2583849 3445132 5167698 7193663 7751547 10335396 14180549 14387326 15503094 21580989 23254641 28361098 28774652 31006188 42541647 43161978 46509282 56722196 64742967 85083294 86323956 93018564 127624941 129485934 170166588 194228901 255249882 258971868 382874823 388457802 510499764 765749646 776915604 1531499292 9373342889 18746685778 28120028667 37493371556 56240057334 84360086001 112480114668 168720172002 253080258003 337440344004 506160516006 1012321032012