Search a number
-
+
1120202202012 = 2235373137317573
BaseRepresentation
bin10000010011010001010…
…000010001101110011100
310222002102211001221222220
4100103101100101232130
5121323133230431022
62214340324505340
7143634440416455
oct20232120215634
93862384057886
101120202202012
113a2090a37413
1216112954b250
138183332b56a
143c30a58612c
151e21435d85c
hex104d1411b9c

1120202202012 has 96 divisors (see below), whose sum is σ = 2701723284288. Its totient is φ = 361053149184.

The previous prime is 1120202201983. The next prime is 1120202202019. The reversal of 1120202202012 is 2102022020211.

It is a junction number, because it is equal to n+sod(n) for n = 1120202201982 and 1120202202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120202202019) 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, 63736858 + ... + 63754430.

It is an arithmetic number, because the mean of its divisors is an integer number (28142950878).

Almost surely, 21120202202012 is an apocalyptic number.

1120202202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120202202012 is an abundant number, since it is smaller than the sum of its proper divisors (1581521082276).

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

1120202202012 is a wasteful number, since it uses less digits than its factorization.

1120202202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19079 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1120202202012 its reverse (2102022020211), we get a palindrome (3222224222223).

The spelling of 1120202202012 in words is "one trillion, one hundred twenty billion, two hundred two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 53 73 106 146 159 212 219 292 318 438 636 876 1373 2746 3869 4119 5492 7738 8238 11607 15476 16476 17573 23214 35146 46428 52719 70292 72769 100229 105438 145538 200458 210876 218307 291076 300687 400916 436614 601374 873228 931369 1202748 1282829 1862738 2565658 2794107 3725476 3848487 5131316 5312137 5588214 7696974 10624274 11176428 15393948 15936411 21248548 24127729 31872822 48255458 63745644 67989937 72383187 96510916 135979874 144766374 203969811 271959748 289532748 407939622 815879244 1278769637 1761324217 2557539274 3522648434 3836308911 5115078548 5283972651 7045296868 7672617822 10567945302 15345235644 21135890604 93350183501 186700367002 280050550503 373400734004 560101101006 1120202202012