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203302121120 = 2557241632473
BaseRepresentation
bin1011110101010111000…
…0000010111010100000
3201102202110210211002122
42331111300002322200
511312330320333440
6233221250003412
720455005342200
oct2752560027240
9642673724078
10203302121120
117924682471a
1233499576568
131622c494ab7
149ba8890400
15544d2e57b5
hex2f55c02ea0

203302121120 has 144 divisors (see below), whose sum is σ = 572345961768. Its totient is φ = 68003389440.

The previous prime is 203302121119. The next prime is 203302121137. The reversal of 203302121120 is 21121203302.

It can be written as a sum of positive squares in 4 ways, for example, as 62674121104 + 140628000016 = 250348^2 + 375004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5204 + ... + 637676.

Almost surely, 2203302121120 is an apocalyptic number.

203302121120 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 203302121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286172980884).

203302121120 is an abundant number, since it is smaller than the sum of its proper divisors (369043840648).

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

203302121120 is a wasteful number, since it uses less digits than its factorization.

203302121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632543 (or 632528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 203302121120 its reverse (21121203302), we get a palindrome (224423324422).

The spelling of 203302121120 in words is "two hundred three billion, three hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 784 820 980 1120 1148 1312 1435 1568 1640 1960 2009 2296 2870 3280 3920 4018 4592 5740 6560 7840 8036 9184 10045 11480 16072 20090 22960 32144 40180 45920 64288 80360 160720 321440 632473 1264946 2529892 3162365 4427311 5059784 6324730 8854622 10119568 12649460 17709244 20239136 22136555 25298920 25931393 30991177 35418488 44273110 50597840 51862786 61982354 70836976 88546220 101195680 103725572 123964708 129656965 141673952 154955885 177092440 181519751 207451144 247929416 259313930 309911770 354184880 363039502 414902288 495858832 518627860 619823540 708369760 726079004 829804576 907598755 991717664 1037255720 1239647080 1270638257 1452158008 1815197510 2074511440 2479294160 2541276514 2904316016 3630395020 4149022880 4958588320 5082553028 5808632032 6353191285 7260790040 10165106056 12706382570 14521580080 20330212112 25412765140 29043160160 40660424224 50825530280 101651060560 203302121120