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2002311002420 = 2252916132140273
BaseRepresentation
bin11101001000110011000…
…010010011100100110100
321002102022111101221022022
4131020303002103210310
5230301213104034140
64131503213452312
7264443063462321
oct35106302234464
97072274357268
102002311002420
117021a23a7143
12284089aa1098
13116a8128c421
146ccab783b48
1537140d240b5
hex1d233093934

2002311002420 has 48 divisors (see below), whose sum is σ = 4352546817360. Its totient is φ = 772826535936.

The previous prime is 2002311002413. The next prime is 2002311002429. The reversal of 2002311002420 is 242001132002.

It can be written as a sum of positive squares in 8 ways, for example, as 182477626276 + 1819833376144 = 427174^2 + 1349012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002311002429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134597 + ... + 2005676.

It is an arithmetic number, because the mean of its divisors is an integer number (90678058695).

Almost surely, 22002311002420 is an apocalyptic number.

2002311002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002311002420 is an abundant number, since it is smaller than the sum of its proper divisors (2350235814940).

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

2002311002420 is a wasteful number, since it uses less digits than its factorization.

2002311002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141924 (or 2141922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2002311002420 its reverse (242001132002), we get a palindrome (2244312134422).

The spelling of 2002311002420 in words is "two trillion, two billion, three hundred eleven million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1613 3226 6452 8065 16130 32260 46777 93554 187108 233885 467770 935540 2140273 4280546 8561092 10701365 21402730 42805460 62067917 124135834 248271668 310339585 620679170 1241358340 3452260349 6904520698 13809041396 17261301745 34522603490 69045206980 100115550121 200231100242 400462200484 500577750605 1001155501210 2002311002420