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11403314132100 = 22352115122967453
BaseRepresentation
bin1010010111110000101001…
…1111001111010010000100
31111101010221120100101212120
42211330022133033102010
52443312441404211400
640130335445045540
72254601516556132
oct245741237172204
944333846311776
1011403314132100
1136a71335a8860
1213420569b68b0
13649435551cb7
142b5ccd952752
1514b95dee7ca0
hexa5f0a7cf484

11403314132100 has 144 divisors (see below), whose sum is σ = 35994242262720. Its totient is φ = 2764344844800.

The previous prime is 11403314132059. The next prime is 11403314132113. The reversal of 11403314132100 is 123141330411.

It is a happy number.

11403314132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 169021974 + ... + 169089426.

Almost surely, 211403314132100 is an apocalyptic number.

11403314132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11403314132100 is an abundant number, since it is smaller than the sum of its proper divisors (24590928130620).

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

11403314132100 is a wasteful number, since it uses less digits than its factorization.

11403314132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118710 (or 118703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11403314132100 its reverse (123141330411), we get a palindrome (11526455462511).

The spelling of 11403314132100 in words is "eleven trillion, four hundred three billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 51229 67453 102458 134906 153687 202359 204916 256145 269812 307374 337265 404718 512290 563519 614748 674530 741983 768435 809436 1011795 1024580 1127038 1280725 1349060 1483966 1536870 1686325 1690557 2023590 2225949 2254076 2561450 2817595 2967932 3073740 3372650 3381114 3709915 3842175 4047180 4451898 5058975 5122900 5635190 6745300 6762228 7419830 7684350 8452785 8903796 10117950 11129745 11270380 14087975 14839660 15368700 16905570 18549575 20235900 22259490 28175950 33811140 37099150 42263925 44518980 55648725 56351900 74198300 84527850 111297450 169055700 222594900 3455549737 6911099474 10366649211 13822198948 17277748685 20733298422 34555497370 38011047107 41466596844 51833246055 69110994740 76022094214 86388743425 103666492110 114033141321 152044188428 172777486850 190055235535 207332984220 228066282642 259166230275 345554973700 380110471070 456132565284 518332460550 570165706605 760220942140 950276177675 1036664921100 1140331413210 1900552355350 2280662826420 2850828533025 3801104710700 5701657066050 11403314132100