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203002213104 = 243217938320563
BaseRepresentation
bin1011110100001111011…
…1111111001011110000
3201101222120110220122100
42331003313333023300
511311222031304404
6233131413540400
720444404224615
oct2750367771360
9641876426570
10203002213104
1179102503359
1233415044700
13161b22c9b32
149b7ab0250c
155431d03d39
hex2f43dff2f0

203002213104 has 120 divisors (see below), whose sum is σ = 572817623040. Its totient is φ = 67110420096.

The previous prime is 203002213069. The next prime is 203002213109. The reversal of 203002213104 is 401312200302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203002213109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9861927 + ... + 9882489.

It is an arithmetic number, because the mean of its divisors is an integer number (4773480192).

Almost surely, 2203002213104 is an apocalyptic number.

203002213104 is a gapful number since it is divisible by the number (24) 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 203002213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286408811520).

203002213104 is an abundant number, since it is smaller than the sum of its proper divisors (369815409936).

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

203002213104 is a wasteful number, since it uses less digits than its factorization.

203002213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139 (or 21130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203002213104 its reverse (401312200302), we get a palindrome (604314413406).

The spelling of 203002213104 in words is "two hundred three billion, two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 383 537 716 766 1074 1149 1432 1532 1611 2148 2298 2864 3064 3222 3447 4296 4596 6128 6444 6894 8592 9192 12888 13788 18384 20563 25776 27576 41126 55152 61689 68557 82252 123378 137114 164504 185067 205671 246756 274228 329008 370134 411342 493512 548456 617013 740268 822684 987024 1096912 1234026 1480536 1645368 2468052 2961072 3290736 3680777 4936104 7361554 7875629 9872208 11042331 14723108 15751258 22084662 23626887 29446216 31502516 33126993 44169324 47253774 58892432 63005032 66253986 70880661 88338648 94507548 126010064 132507972 141761322 176677296 189015096 265015944 283522644 378030192 530031888 567045288 1134090576 1409737591 2819475182 4229212773 5638950364 8458425546 11277900728 12687638319 16916851092 22555801456 25375276638 33833702184 50750553276 67667404368 101501106552 203002213104