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100000011011100 = 223522337391696087
BaseRepresentation
bin10110101111001100010001…
…001000100100010000011100
3111010001220111201000221200020
4112233030101020210100130
5101101400010304323400
6552403212034432140
730030522331552464
oct2657142110442034
9433056451027606
10100000011011100
1129954848247a62
12b270809432650
1343a4c644ccaa5
141a9a05247aba4
15b8636a7472a0
hex5af31122441c

100000011011100 has 144 divisors (see below), whose sum is σ = 310072890398208. Its totient is φ = 24817864008960.

The previous prime is 100000011011093. The next prime is 100000011011129. The reversal of 100000011011100 is 1110110000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195592744 + ... + 196103343.

Almost surely, 2100000011011100 is an apocalyptic number.

100000011011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000011011100 is an abundant number, since it is smaller than the sum of its proper divisors (210072879387108).

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

100000011011100 is a wasteful number, since it uses less digits than its factorization.

100000011011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391696164 (or 391696157 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000011011100 its reverse (1110110000001), we get a palindrome (101110121011101).

The spelling of 100000011011100 in words is "one hundred trillion, eleven million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 10212 11100 12765 17020 21275 25530 42550 51060 63825 85100 127650 255300 391696087 783392174 1175088261 1566784348 1958480435 2350176522 3916960870 4700353044 5875441305 7833921740 9009010001 9792402175 11750882610 14492755219 18018020002 19584804350 23501765220 27027030003 28985510438 29377206525 36036040004 39169608700 43478265657 45045050005 54054060006 57971020876 58754413050 72463776095 86956531314 90090100010 108108120012 117508826100 135135150015 144927552190 173913062628 180180200020 217391328285 225225250025 270270300030 289855104380 333333370037 362318880475 434782656570 450450500050 540540600060 666666740074 675675750075 724637760950 869565313140 900901000100 1000000110111 1086956641425 1333333480148 1351351500150 1449275521900 1666666850185 2000000220222 2173913282850 2702703000300 3333333700370 4000000440444 4347826565700 5000000550555 6666667400740 8333334250925 10000001101110 16666668501850 20000002202220 25000002752775 33333337003700 50000005505550 100000011011100