Search a number
-
+
11412304200 = 23325211576379
BaseRepresentation
bin10101010000011100…
…11111000101001000
31002110100021010021100
422220032133011020
5141333022213300
65124233141400
7552543661623
oct125016370510
932410233240
1011412304200
114926a48070
122265b5a860
1310cb48652b
147a3958dba
1546bd83700
hex2a839f148

11412304200 has 144 divisors (see below), whose sum is σ = 41810605200. Its totient is φ = 2766614400.

The previous prime is 11412304177. The next prime is 11412304207. The reversal of 11412304200 is 240321411.

11412304200 is a `hidden beast` number, since 1 + 14 + 1 + 230 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11412304207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268390 + ... + 307989.

It is an arithmetic number, because the mean of its divisors is an integer number (290351425).

Almost surely, 211412304200 is an apocalyptic number.

11412304200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11412304200 is an abundant number, since it is smaller than the sum of its proper divisors (30398301000).

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

11412304200 is a wasteful number, since it uses less digits than its factorization.

11412304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576412 (or 576400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11412304200 its reverse (240321411), we get a palindrome (11652625611).

The spelling of 11412304200 in words is "eleven billion, four hundred twelve million, three hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 576379 1152758 1729137 2305516 2881895 3458274 4611032 5187411 5763790 6340169 6916548 8645685 10374822 11527580 12680338 13833096 14409475 17291370 19020507 20749644 23055160 25360676 25937055 28818950 31700845 34582740 38041014 41499288 43228425 50721352 51874110 57061521 57637900 63401690 69165480 76082028 86456850 95102535 103748220 114123042 115275800 126803380 129685275 152164056 158504225 172913700 190205070 207496440 228246084 253606760 259370550 285307605 317008450 345827400 380410140 456492168 475512675 518741100 570615210 634016900 760820280 951025350 1037482200 1141230420 1268033800 1426538025 1902050700 2282460840 2853076050 3804101400 5706152100 11412304200