Search a number
-
+
121310200 = 23521167823
BaseRepresentation
bin1110011101100…
…00101111111000
322110021012022101
413032300233320
5222023411300
620012033144
73002056024
oct716605770
9273235271
10121310200
1162527170
12347627b4
131c1953ab
141217b384
15a9b3b6a
hex73b0bf8

121310200 has 96 divisors (see below), whose sum is σ = 312658560. Its totient is φ = 43401600.

The previous prime is 121310197. The next prime is 121310251. The reversal of 121310200 is 2013121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146989 + ... + 147811.

It is an arithmetic number, because the mean of its divisors is an integer number (3256860).

Almost surely, 2121310200 is an apocalyptic number.

121310200 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 121310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156329280).

121310200 is an abundant number, since it is smaller than the sum of its proper divisors (191348360).

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

121310200 is a wasteful number, since it uses less digits than its factorization.

121310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121310200 is about 11014.0909747468. The cubic root of 121310200 is about 495.0310493056.

Adding to 121310200 its reverse (2013121), we get a palindrome (123323321).

The spelling of 121310200 in words is "one hundred twenty-one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 134 200 220 268 275 335 440 536 550 670 737 823 1100 1340 1474 1646 1675 2200 2680 2948 3292 3350 3685 4115 5896 6584 6700 7370 8230 9053 13400 14740 16460 18106 18425 20575 29480 32920 36212 36850 41150 45265 55141 72424 73700 82300 90530 110282 147400 164600 181060 220564 226325 275705 362120 441128 452650 551410 606551 905300 1102820 1213102 1378525 1810600 2205640 2426204 2757050 3032755 4852408 5514100 6065510 11028200 12131020 15163775 24262040 30327550 60655100 121310200