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203421404420 = 225131993392569
BaseRepresentation
bin1011110101110011011…
…1000100110100000100
3201110001210021001000122
42331130313010310010
511313101334420140
6233241150401112
720460654260003
oct2753467046404
9643053231018
10203421404420
11792a8096a63
1233511500198
131624b0ca730
149bba660c3a
155458a08ab5
hex2f5cdc4d04

203421404420 has 48 divisors (see below), whose sum is σ = 460277333040. Its totient is φ = 75071563776.

The previous prime is 203421404369. The next prime is 203421404449. The reversal of 203421404420 is 24404124302.

It is a happy number.

203421404420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4012715716 + 199408688704 = 63346^2 + 446552^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 203421404420.

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 15 ways as a sum of consecutive naturals, for example, 321896 + ... + 714464.

It is an arithmetic number, because the mean of its divisors is an integer number (9589111105).

Almost surely, 2203421404420 is an apocalyptic number.

203421404420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203421404420 is an abundant number, since it is smaller than the sum of its proper divisors (256855928620).

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

203421404420 is a wasteful number, since it uses less digits than its factorization.

203421404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394584 (or 394582 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 203421404420 its reverse (24404124302), we get a palindrome (227825528722).

The spelling of 203421404420 in words is "two hundred three billion, four hundred twenty-one million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1993 3986 7972 9965 19930 25909 39860 51818 103636 129545 259090 392569 518180 785138 1570276 1962845 3925690 5103397 7851380 10206794 20413588 25516985 51033970 102067940 782390017 1564780034 3129560068 3911950085 7823900170 10171070221 15647800340 20342140442 40684280884 50855351105 101710702210 203421404420