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320133045400 = 235271132023597
BaseRepresentation
bin1001010100010010110…
…10101001110010011000
31010121022121210200222021
410222021122221302120
520221113024423100
6403022254104224
732062123662610
oct4521132516230
91117277720867
10320133045400
111138498382a3
1252063aab074
132425ac4a21c
14116ccd7ba40
1584d9e5aa1a
hex4a896a9c98

320133045400 has 96 divisors (see below), whose sum is σ = 858167439840. Its totient is φ = 108788520960.

The previous prime is 320133045383. The next prime is 320133045433. The reversal of 320133045400 is 4540331023.

It is a super-3 number, since 3×3201330454003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 853599 + ... + 1169998.

It is an arithmetic number, because the mean of its divisors is an integer number (8939244165).

Almost surely, 2320133045400 is an apocalyptic number.

It is an amenable number.

320133045400 is an abundant number, since it is smaller than the sum of its proper divisors (538034394440).

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

320133045400 is a wasteful number, since it uses less digits than its factorization.

320133045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023733 (or 2023724 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 320133045400 its reverse (4540331023), we get a palindrome (324673376423).

The spelling of 320133045400 in words is "three hundred twenty billion, one hundred thirty-three million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 140 175 200 226 280 350 452 565 700 791 904 1130 1400 1582 2260 2825 3164 3955 4520 5650 6328 7910 11300 15820 19775 22600 31640 39550 79100 158200 2023597 4047194 8094388 10117985 14165179 16188776 20235970 28330358 40471940 50589925 56660716 70825895 80943880 101179850 113321432 141651790 202359700 228666461 283303580 354129475 404719400 457332922 566607160 708258950 914665844 1143332305 1416517900 1600665227 1829331688 2286664610 2833035800 3201330454 4573329220 5716661525 6402660908 8003326135 9146658440 11433323050 12805321816 16006652270 22866646100 32013304540 40016630675 45733292200 64026609080 80033261350 160066522700 320133045400