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2002041134120 = 235124753401201
BaseRepresentation
bin11101001000100010111…
…100110101110000101000
321002101121200121012121002
4131020202330311300220
5230300140012242440
64131420333334132
7264433305600266
oct35104274656050
97071550535532
102002041134120
11702074033095
12284013637348
13116a3a3b1541
146cc839b5436
15371272b8115
hex1d222f35c28

2002041134120 has 32 divisors (see below), whose sum is σ = 4504639887720. Its totient is φ = 800808038400.

The previous prime is 2002041134099. The next prime is 2002041134189. The reversal of 2002041134120 is 214311402002.

It can be written as a sum of positive squares in 4 ways, for example, as 1999797596164 + 2243537956 = 1414142^2 + 47366^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002041134092 and 2002041134101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4789520 + ... + 5190720.

Almost surely, 22002041134120 is an apocalyptic number.

2002041134120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002041134120 is an abundant number, since it is smaller than the sum of its proper divisors (2502598753600).

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

2002041134120 is a wasteful number, since it uses less digits than its factorization.

2002041134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525965 (or 525961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2002041134120 its reverse (214311402002), we get a palindrome (2216352536122).

The spelling of 2002041134120 in words is "two trillion, two billion, forty-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 124753 249506 401201 499012 623765 802402 998024 1247530 1604804 2006005 2495060 3209608 4012010 4990120 8024020 16048040 50051028353 100102056706 200204113412 250255141765 400408226824 500510283530 1001020567060 2002041134120