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11200331100 = 22352722323917
BaseRepresentation
bin10100110111001011…
…10111110101011100
31001220120101202211210
422123211313311130
5140414241043400
65051221544420
7544361146350
oct123345676534
931816352753
1011200331100
114828327592
122206b75110
13109659956a
1478373b460
15458461950
hex29b977d5c

11200331100 has 144 divisors (see below), whose sum is σ = 37203396608. Its totient is φ = 2548488960.

The previous prime is 11200331039. The next prime is 11200331101. The reversal of 11200331100 is 113300211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200331101) 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, 456342 + ... + 480258.

Almost surely, 211200331100 is an apocalyptic number.

11200331100 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 11200331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601698304).

11200331100 is an abundant number, since it is smaller than the sum of its proper divisors (26003065508).

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

11200331100 is a wasteful number, since it uses less digits than its factorization.

11200331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24164 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11200331100 its reverse (113300211), we get a palindrome (11313631311).

The spelling of 11200331100 in words is "eleven billion, two hundred million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 223 300 350 420 446 525 669 700 892 1050 1115 1338 1561 2100 2230 2676 3122 3345 4460 4683 5575 6244 6690 7805 9366 11150 13380 15610 16725 18732 22300 23415 23917 31220 33450 39025 46830 47834 66900 71751 78050 93660 95668 117075 119585 143502 156100 167419 234150 239170 287004 334838 358755 468300 478340 502257 597925 669676 717510 837095 1004514 1195850 1435020 1674190 1793775 2009028 2391700 2511285 3348380 3587550 4185475 5022570 5333491 7175100 8370950 10045140 10666982 12556425 16000473 16741900 21333964 25112850 26667455 32000946 37334437 50225700 53334910 64001892 74668874 80002365 106669820 112003311 133337275 149337748 160004730 186672185 224006622 266674550 320009460 373344370 400011825 448013244 533349100 560016555 746688740 800023650 933360925 1120033110 1600047300 1866721850 2240066220 2800082775 3733443700 5600165550 11200331100