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203043320304 = 2431123101165541
BaseRepresentation
bin1011110100011001010…
…0110011000111110000
3201102002102211101010020
42331012110303013300
511311313042222204
6233135443003440
720445413513646
oct2750624630760
9642072741106
10203043320304
117912372a850
1233426969580
13161ba990616
149b82363196
155435723bd9
hex2f465331f0

203043320304 has 160 divisors (see below), whose sum is σ = 603007262208. Its totient is φ = 58270080000.

The previous prime is 203043320299. The next prime is 203043320339. The reversal of 203043320304 is 403023340302.

203043320304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1143774 + ... + 1309314.

Almost surely, 2203043320304 is an apocalyptic number.

203043320304 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 203043320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301503631104).

203043320304 is an abundant number, since it is smaller than the sum of its proper divisors (399963941904).

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

203043320304 is a wasteful number, since it uses less digits than its factorization.

203043320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165687 (or 165681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 203043320304 its reverse (403023340302), we get a palindrome (606066660606).

It can be divided in two parts, 2030 and 43320304, that added together give a palindrome (43322334).

The spelling of 203043320304 in words is "two hundred three billion, forty-three million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 101 132 138 176 184 202 253 264 276 303 368 404 506 528 552 606 759 808 1012 1104 1111 1212 1518 1616 2024 2222 2323 2424 3036 3333 4048 4444 4646 4848 6072 6666 6969 8888 9292 12144 13332 13938 17776 18584 25553 26664 27876 37168 51106 53328 55752 76659 102212 111504 153318 165541 204424 306636 331082 408848 496623 613272 662164 993246 1226544 1324328 1820951 1986492 2648656 3641902 3807443 3972984 5462853 7283804 7614886 7945968 10925706 11422329 14567608 15229772 16719641 21851412 22844658 29135216 30459544 33439282 41881873 43702824 45689316 50158923 60919088 66878564 83763746 87405648 91378632 100317846 125645619 133757128 167527492 182757264 183916051 200635692 251291238 267514256 335054984 367832102 384551743 401271384 502582476 551748153 670109968 735664204 769103486 802542768 1005164952 1103496306 1153655229 1471328408 1538206972 2010329904 2206992612 2307310458 2942656816 3076413944 4230069173 4413985224 4614620916 6152827888 8460138346 8827970448 9229241832 12690207519 16920276692 18458483664 25380415038 33840553384 50760830076 67681106768 101521660152 203043320304