Search a number
-
+
10020111102012 = 223111014211178481
BaseRepresentation
bin1001000111001111110100…
…1010011011000000111100
31022110220122202211002101110
42101303331022123000330
52303132141420231022
633151101523442020
72052633460032624
oct221637512330074
938426582732343
1010020111102012
113213561547690
121159b6ab26310
13578b7a862c9b
14268d94095884
151259a580800c
hex91cfd29b03c

10020111102012 has 96 divisors (see below), whose sum is σ = 25764530658048. Its totient is φ = 3005603200000.

The previous prime is 10020111102011. The next prime is 10020111102031. The reversal of 10020111102012 is 21020111102001.

10020111102012 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020111102011) 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, 56051812 + ... + 56230292.

It is an arithmetic number, because the mean of its divisors is an integer number (268380527688).

Almost surely, 210020111102012 is an apocalyptic number.

10020111102012 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 10020111102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882265329024).

10020111102012 is an abundant number, since it is smaller than the sum of its proper divisors (15744419556036).

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

10020111102012 is a wasteful number, since it uses less digits than its factorization.

10020111102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182811 (or 182809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020111102012 its reverse (21020111102001), we get a palindrome (31040222204013).

The spelling of 10020111102012 in words is "ten trillion, twenty billion, one hundred eleven million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4211 4444 6666 8422 12633 13332 16844 25266 46321 50532 92642 138963 178481 185284 277926 356962 425311 535443 555852 713924 850622 1070886 1275933 1701244 1963291 2141772 2551866 3926582 4678421 5103732 5889873 7853164 9356842 11779746 14035263 18026581 18713684 23559492 28070526 36053162 54079743 56141052 72106324 108159486 198292391 216318972 396584782 594877173 751583491 793169564 1189754346 1503166982 2254750473 2379508692 3006333964 4509500946 8267418401 9019001892 16534836802 24802255203 33069673604 49604510406 75909932591 99209020812 151819865182 227729797773 303639730364 455459595546 835009258501 910919191092 1670018517002 2505027775503 3340037034004 5010055551006 10020111102012