Search a number
-
+
1141212300 = 2235231277443
BaseRepresentation
bin100010000000101…
…1000010010001100
32221112101120222020
41010001120102030
54314122243200
6305124050140
740165100364
oct10401302214
92845346866
101141212300
11536203768
1227a233950
13152580267
14ab7c99a4
156a2c6ea0
hex4405848c

1141212300 has 144 divisors (see below), whose sum is σ = 3428447232. Its totient is φ = 292780800.

The previous prime is 1141212287. The next prime is 1141212301. The reversal of 1141212300 is 32121411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141212300.

It is not an unprimeable number, because it can be changed into a prime (1141212301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2575879 + ... + 2576321.

Almost surely, 21141212300 is an apocalyptic number.

1141212300 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 1141212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714223616).

1141212300 is an abundant number, since it is smaller than the sum of its proper divisors (2287234932).

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

1141212300 is a wasteful number, since it uses less digits than its factorization.

1141212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1141212300 is about 33781.8338756202. The cubic root of 1141212300 is about 1045.0140944201.

Adding to 1141212300 its reverse (32121411), we get a palindrome (1173333711).

The spelling of 1141212300 in words is "one billion, one hundred forty-one million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 277 300 310 372 443 465 554 620 775 831 886 930 1108 1329 1385 1550 1662 1772 1860 2215 2325 2658 2770 3100 3324 4155 4430 4650 5316 5540 6645 6925 8310 8587 8860 9300 11075 13290 13733 13850 16620 17174 20775 22150 25761 26580 27466 27700 33225 34348 41199 41550 42935 44300 51522 54932 66450 68665 82398 83100 85870 103044 122711 128805 132900 137330 164796 171740 205995 214675 245422 257610 274660 343325 368133 411990 429350 490844 515220 613555 644025 686650 736266 823980 858700 1029975 1227110 1288050 1373300 1472532 1840665 2059950 2454220 2576100 3067775 3681330 3804041 4119900 6135550 7362660 7608082 9203325 11412123 12271100 15216164 18406650 19020205 22824246 36813300 38040410 45648492 57060615 76080820 95101025 114121230 190202050 228242460 285303075 380404100 570606150 1141212300