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2205013131204 = 22313371991919693
BaseRepresentation
bin100000000101100101000…
…001100011111111000100
321210210112011012222122120
4200011211001203333010
5242111331330144304
64404545151525540
7315210165236652
oct40054501437704
97723464188576
102205013131204
11780160478724
122b741a5298b0
1312cc1635bc70
1478a1a68ddd2
153c5565ee0d9
hex20165063fc4

2205013131204 has 96 divisors (see below), whose sum is σ = 5719152364800. Its totient is φ = 656811099648.

The previous prime is 2205013131193. The next prime is 2205013131263. The reversal of 2205013131204 is 4021313105022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188782 + ... + 2108474.

It is an arithmetic number, because the mean of its divisors is an integer number (59574503800).

Almost surely, 22205013131204 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 2205013131204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859576182400).

2205013131204 is an abundant number, since it is smaller than the sum of its proper divisors (3514139233596).

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

2205013131204 is a wasteful number, since it uses less digits than its factorization.

2205013131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919949 (or 1919947 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2205013131204 its reverse (4021313105022), we get a palindrome (6226326236226).

It can be divided in two parts, 22050131 and 31204, that added together give a triangular number (22081335 = T6645).

The spelling of 2205013131204 in words is "two trillion, two hundred five billion, thirteen million, one hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 199 222 398 444 481 597 796 962 1194 1443 1924 2388 2587 2886 5174 5772 7363 7761 10348 14726 15522 22089 29452 31044 44178 88356 95719 191438 287157 382876 574314 1148628 1919693 3839386 5759079 7678772 11518158 23036316 24956009 49912018 71028641 74868027 99824036 142057282 149736054 213085923 284114564 299472108 382018907 426171846 764037814 852343692 923372333 1146056721 1528075628 1846744666 2292113442 2770116999 3693489332 4584226884 4966245791 5540233998 9932491582 11080467996 14134699559 14898737373 19864983164 28269399118 29797474746 42404098677 56538798236 59594949492 84808197354 169616394708 183751094267 367502188534 551253282801 735004377068 1102506565602 2205013131204