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203104200465100 = 2252113149112130621
BaseRepresentation
bin101110001011100011100001…
…101110001001101011001100
3222122010120102221110102010201
4232023203201232021223030
5203110124400304340400
61555544440454343244
760531536266026214
oct5613434156115314
9878116387412121
10203104200465100
115979600a279790
121a942b5595ab24
13894384a90ab0c
14382241d795244
15187331669006a
hexb8b8e1b89acc

203104200465100 has 144 divisors (see below), whose sum is σ = 497323671247872. Its totient is φ = 71328045600000.

The previous prime is 203104200465017. The next prime is 203104200465107. The reversal of 203104200465100 is 1564002401302.

203104200465100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203104200465107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10677790 + ... + 22808410.

It is an arithmetic number, because the mean of its divisors is an integer number (3453636605888).

Almost surely, 2203104200465100 is an apocalyptic number.

203104200465100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203104200465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248661835623936).

203104200465100 is an abundant number, since it is smaller than the sum of its proper divisors (294219470782772).

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

203104200465100 is a wasteful number, since it uses less digits than its factorization.

203104200465100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12131168 (or 12131161 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 203104200465100 its reverse (1564002401302), we get a palindrome (204668202866402).

The spelling of 203104200465100 in words is "two hundred three trillion, one hundred four billion, two hundred million, four hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 491 550 620 682 775 982 1100 1364 1550 1705 1964 2455 3100 3410 4910 5401 6820 8525 9820 10802 12275 15221 17050 21604 24550 27005 30442 34100 49100 54010 60884 76105 108020 135025 152210 167431 270050 304420 334862 380525 540100 669724 761050 837155 1522100 1674310 3348620 4185775 8371550 12130621 16743100 24261242 48522484 60653105 121306210 133436831 242612420 266873662 303265525 376049251 533747324 606531050 667184155 752098502 1213062100 1334368310 1504197004 1880246255 2668736620 3335920775 3760492510 4136541761 5956134911 6671841550 7520985020 8273083522 9401231275 11912269822 13343683100 16546167044 18802462550 20682708805 23824539644 29780674555 37604925100 41365417610 59561349110 65517484021 82730835220 103413544025 119122698220 131034968042 148903372775 184640182241 206827088050 262069936084 297806745550 327587420105 369280364482 413654176100 595613491100 655174840210 738560728964 923200911205 1310349680420 1637937100525 1846401822410 2031042004651 3275874201050 3692803644820 4062084009302 4616004556025 6551748402100 8124168018604 9232009112050 10155210023255 18464018224100 20310420046510 40620840093020 50776050116275 101552100232550 203104200465100