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121300256 = 25711192591
BaseRepresentation
bin1110011101011…
…10010100100000
322110020200200002
413032232110200
5222023102011
620011515132
73002015030
oct716562440
9273220602
10121300256
116251a750
1234758aa8
131c1909cc
14121778c0
15a9b0c3b
hex73ae520

121300256 has 96 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 44755200.

The previous prime is 121300159. The next prime is 121300261. The reversal of 121300256 is 652003121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45521 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2121300256 is an apocalyptic number.

121300256 is a gapful number since it is divisible by the number (16) 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 121300256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

121300256 is an abundant number, since it is smaller than the sum of its proper divisors (192228064).

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

121300256 is a wasteful number, since it uses less digits than its factorization.

121300256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 121300256 is about 11013.6395437657. The cubic root of 121300256 is about 495.0175227617.

Adding to 121300256 its reverse (652003121), we get a palindrome (773303377).

The spelling of 121300256 in words is "one hundred twenty-one million, three hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2591 2926 3344 4256 5182 5852 6688 10364 11704 18137 20728 23408 28501 36274 41456 46816 49229 57002 72548 82912 98458 114004 145096 196916 199507 228008 290192 344603 393832 399014 456016 541519 580384 689206 787664 798028 912032 1083038 1378412 1575328 1596056 2166076 2756824 3192112 3790633 4332152 5513648 6384224 7581266 8664304 11027296 15162532 17328608 30325064 60650128 121300256