[go: up one dir, main page]

Search a number
-
+
121301310 = 235132313523
BaseRepresentation
bin1110011101011…
…10100100111110
322110020202010010
413032232210332
5222023120220
620011524050
73002021064
oct716564476
9273222103
10121301310
1162520519
1234759626
131c191330
1412178034
15a9b11e0
hex73ae93e

121301310 has 64 divisors (see below), whose sum is σ = 327172608. Its totient is φ = 28558464.

The previous prime is 121301293. The next prime is 121301351. The reversal of 121301310 is 13103121.

It is a super-2 number, since 2×1213013102 = 29428015615432200, which contains 22 as substring.

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, 2209 + ... + 15731.

It is an arithmetic number, because the mean of its divisors is an integer number (5112072).

Almost surely, 2121301310 is an apocalyptic number.

121301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163586304).

121301310 is an abundant number, since it is smaller than the sum of its proper divisors (205871298).

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

121301310 is a wasteful number, since it uses less digits than its factorization.

121301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 121301310 is about 11013.6873934210. The cubic root of 121301310 is about 495.0189565233.

Adding to 121301310 its reverse (13103121), we get a palindrome (134404431).

The spelling of 121301310 in words is "one hundred twenty-one million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 13523 27046 40569 67615 81138 135230 175799 202845 311029 351598 405690 527397 622058 878995 933087 1054794 1555145 1757990 1866174 2636985 3110290 4043377 4665435 5273970 8086754 9330870 12130131 20216885 24260262 40433770 60650655 121301310