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121400320 = 2105131181
BaseRepresentation
bin1110011110001…
…10110000000000
322110102202221011
413033012300000
5222034302240
620014010304
73002612536
oct717066000
9273382834
10121400320
1162588948
12347a6994
131c1c7412
14121a2156
15a9d06ea
hex73c6c00

121400320 has 88 divisors (see below), whose sum is σ = 295062768. Its totient is φ = 47923200.

The previous prime is 121400299. The next prime is 121400339. The reversal of 121400320 is 23004121.

It is a super-2 number, since 2×1214003202 = 29476075392204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121400320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670630 + ... + 670810.

It is an arithmetic number, because the mean of its divisors is an integer number (3352986).

Almost surely, 2121400320 is an apocalyptic number.

121400320 is a gapful number since it is divisible by the number (10) 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 121400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147531384).

121400320 is an abundant number, since it is smaller than the sum of its proper divisors (173662448).

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

121400320 is a wasteful number, since it uses less digits than its factorization.

121400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 121400320 is about 11018.1813381338. The cubic root of 121400320 is about 495.1536033185.

Adding to 121400320 its reverse (23004121), we get a palindrome (144404441).

The spelling of 121400320 in words is "one hundred twenty-one million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 181 256 262 320 362 512 524 640 655 724 905 1024 1048 1280 1310 1448 1810 2096 2560 2620 2896 3620 4192 5120 5240 5792 7240 8384 10480 11584 14480 16768 20960 23168 23711 28960 33536 41920 46336 47422 57920 67072 83840 92672 94844 115840 118555 134144 167680 185344 189688 231680 237110 335360 379376 463360 474220 670720 758752 926720 948440 1517504 1896880 3035008 3793760 6070016 7587520 12140032 15175040 24280064 30350080 60700160 121400320