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1012220320232 = 231127314996137
BaseRepresentation
bin11101011101011010000…
…10000101100111101000
310120202201101010000101002
432232231002011213220
5113041011400221412
62053001350214132
7133062522521552
oct16565502054750
93522641100332
101012220320232
11360309a89400
12144212654348
13745b4c80764
1436dc54164d2
151b4e4506dc2
hexebad0859e8

1012220320232 has 96 divisors (see below), whose sum is σ = 2128927941000. Its totient is φ = 450747095040.

The previous prime is 1012220320211. The next prime is 1012220320247. The reversal of 1012220320232 is 2320230222101.

It is a happy number.

1012220320232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 871470792676 + 140749527556 = 933526^2 + 375166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10480868 + ... + 10577004.

Almost surely, 21012220320232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012220320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064463970500).

1012220320232 is an abundant number, since it is smaller than the sum of its proper divisors (1116707620768).

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

1012220320232 is a wasteful number, since it uses less digits than its factorization.

1012220320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96387 (or 96372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1012220320232 its reverse (2320230222101), we get a palindrome (3332450542333).

The spelling of 1012220320232 in words is "one trillion, twelve billion, two hundred twenty million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 149 242 292 298 484 584 596 803 968 1192 1606 1639 3212 3278 6424 6556 8833 10877 13112 17666 18029 21754 35332 36058 43508 70664 72116 87016 96137 119647 144232 192274 239294 384548 478588 769096 957176 1057507 1316117 2115014 2632234 4230028 5264468 7018001 8460056 10528936 11632577 14036002 14324413 23265154 28072004 28648826 46530308 56144008 57297652 77198011 93060616 114595304 154396022 157568543 308792044 315137086 617584088 630274172 849178121 1045682149 1260548344 1698356242 1733253973 2091364298 3396712484 3466507946 4182728596 6793424968 6933015892 8365457192 11502503639 13866031784 23005007278 46010014556 92020029112 126527540029 253055080058 506110160116 1012220320232