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121314780 = 22335317247
BaseRepresentation
bin1110011101100…
…01110111011100
322110021102121000
413032301313130
5222024033110
620012110300
73002105256
oct716616734
9273242530
10121314780
116252a654
1234765390
131c1974c2
141217ccd6
15a9b51c0
hex73b1ddc

121314780 has 96 divisors (see below), whose sum is σ = 389652480. Its totient is φ = 31302720.

The previous prime is 121314779. The next prime is 121314793. The reversal of 121314780 is 87413121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 13117 + ... + 20363.

It is an arithmetic number, because the mean of its divisors is an integer number (4058880).

Almost surely, 2121314780 is an apocalyptic number.

121314780 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 121314780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194826240).

121314780 is an abundant number, since it is smaller than the sum of its proper divisors (268337700).

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

121314780 is a wasteful number, since it uses less digits than its factorization.

121314780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121314780 is about 11014.2988882634. The cubic root of 121314780 is about 495.0372791024.

The spelling of 121314780 in words is "one hundred twenty-one million, three hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 7247 8370 14494 16740 21741 28988 36235 43482 65223 72470 86964 108705 130446 144940 195669 217410 224657 260892 326115 391338 434820 449314 652230 673971 782676 898628 978345 1123285 1304460 1347942 1956690 2021913 2246570 2695884 3369855 3913380 4043826 4493140 6065739 6739710 8087652 10109565 12131478 13479420 20219130 24262956 30328695 40438260 60657390 121314780