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2002103024004 = 223430809200569
BaseRepresentation
bin11101001000100110101…
…000111011100110000100
321002101210000001112120000
4131020212220323212010
5230300301333232004
64131430424041300
7264434656625256
oct35104650734604
97071700045500
102002103024004
117020a5a64956
12284030303230
13116a4a170785
146cc8bcc5cd6
153712c940c39
hex1d226a3b984

2002103024004 has 60 divisors (see below), whose sum is σ = 5234088759900. Its totient is φ = 667342685952.

The previous prime is 2002103023969. The next prime is 2002103024063. The reversal of 2002103024004 is 4004203012002.

2002103024004 is a `hidden beast` number, since 20 + 0 + 210 + 30 + 2 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1055078208900 + 947024815104 = 1027170^2 + 973152^2 .

It is a super-2 number, since 2×20021030240042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 9881832 + ... + 10082400.

It is an arithmetic number, because the mean of its divisors is an integer number (87234812665).

Almost surely, 22002103024004 is an apocalyptic number.

It is an amenable number.

2002103024004 is an abundant number, since it is smaller than the sum of its proper divisors (3231985735896).

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

2002103024004 is a wasteful number, since it uses less digits than its factorization.

2002103024004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231394 (or 231383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002103024004 its reverse (4004203012002), we get a palindrome (6006306036006).

The spelling of 2002103024004 in words is "two trillion, two billion, one hundred three million, twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 30809 61618 92427 123236 184854 200569 277281 369708 401138 554562 601707 802276 831843 1109124 1203414 1663686 1805121 2406828 2495529 3327372 3610242 4991058 5415363 7220484 9982116 10830726 16246089 21661452 32492178 64984356 6179330321 12358660642 18537990963 24717321284 37075981926 55613972889 74151963852 111227945778 166841918667 222455891556 333683837334 500525756001 667367674668 1001051512002 2002103024004