Search a number
-
+
121001140 = 225134379137
BaseRepresentation
bin1110011011001…
…01010010110100
322102200111100201
413031211102310
5221434014030
620001250244
72666331001
oct715452264
9272614321
10121001140
1162335a47
1234633984
131c0b7810
14120da8a8
15a9522ca
hex73654b4

121001140 has 96 divisors (see below), whose sum is σ = 285626880. Its totient is φ = 42771456.

The previous prime is 121001113. The next prime is 121001141. The reversal of 121001140 is 41100121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883152 + ... + 883288.

It is an arithmetic number, because the mean of its divisors is an integer number (2975280).

Almost surely, 2121001140 is an apocalyptic number.

121001140 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 121001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142813440).

121001140 is an abundant number, since it is smaller than the sum of its proper divisors (164625740).

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

121001140 is a wasteful number, since it uses less digits than its factorization.

121001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 121001140 is about 11000.0518180598. The cubic root of 121001140 is about 494.6102976367.

Adding to 121001140 its reverse (41100121), we get a palindrome (162101261).

The spelling of 121001140 in words is "one hundred twenty-one million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 79 86 130 137 158 172 215 260 274 316 395 430 548 559 685 790 860 1027 1118 1370 1580 1781 2054 2236 2740 2795 3397 3562 4108 5135 5590 5891 6794 7124 8905 10270 10823 11180 11782 13588 16985 17810 20540 21646 23564 29455 33970 35620 43292 44161 54115 58910 67940 76583 88322 108230 117820 140699 153166 176644 216460 220805 281398 306332 382915 441610 465389 562796 703495 765830 883220 930778 1406990 1531660 1861556 2326945 2813980 4653890 6050057 9307780 12100114 24200228 30250285 60500570 121001140