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11143334100 = 223522931523
BaseRepresentation
bin10100110000011000…
…11100100011010100
31001202121011000122210
422120030130203110
5140310143142400
65041424153420
7543066530343
oct123014344324
931677130583
1011143334100
1147a9137928
1221aba68870
131087831422
14779d41b5a
15453453950
hex29831c8d4

11143334100 has 144 divisors (see below), whose sum is σ = 33414736320. Its totient is φ = 2867204480.

The previous prime is 11143334099. The next prime is 11143334113. The reversal of 11143334100 is 143334111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7315939 + ... + 7317461.

It is an arithmetic number, because the mean of its divisors is an integer number (232046780).

Almost surely, 211143334100 is an apocalyptic number.

11143334100 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 11143334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707368160).

11143334100 is an abundant number, since it is smaller than the sum of its proper divisors (22271402220).

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

11143334100 is a wasteful number, since it uses less digits than its factorization.

11143334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11143334100 its reverse (143334111), we get a palindrome (11286668211).

The spelling of 11143334100 in words is "eleven billion, one hundred forty-three million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 841 870 1450 1523 1682 1740 2175 2523 2900 3046 3364 4205 4350 4569 5046 6092 7615 8410 8700 9138 10092 12615 15230 16820 18276 21025 22845 24389 25230 30460 38075 42050 44167 45690 48778 50460 63075 73167 76150 84100 88334 91380 97556 114225 121945 126150 132501 146334 152300 176668 220835 228450 243890 252300 265002 292668 365835 441670 456900 487780 530004 609725 662505 731670 883340 1104175 1219450 1280843 1325010 1463340 1829175 2208350 2438900 2561686 2650020 3312525 3658350 3842529 4416700 5123372 6404215 6625050 7316700 7685058 12808430 13250100 15370116 19212645 25616860 32021075 37144447 38425290 64042150 74288894 76850580 96063225 111433341 128084300 148577788 185722235 192126450 222866682 371444470 384252900 445733364 557166705 742888940 928611175 1114333410 1857222350 2228666820 2785833525 3714444700 5571667050 11143334100