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12110211200100 = 223521319715762347
BaseRepresentation
bin1011000000111010000011…
…0101100011010001100100
31120212201120102220011020110
42300032200311203101210
53041403203031400400
641431204302333020
72356635215525466
oct260164065432144
946781512804213
1012110211200100
113949a03567752
12143705928a170
1369acac895960
142dc1ccc5c136
15160033835e50
hexb03a0d63464

12110211200100 has 144 divisors (see below), whose sum is σ = 37925722473408. Its totient is φ = 2965843023360.

The previous prime is 12110211200057. The next prime is 12110211200119. The reversal of 12110211200100 is 100211201121.

It is a super-2 number, since 2×121102112001002 (a number of 27 digits) contains 22 as substring.

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

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, 7112874 + ... + 8649473.

It is an arithmetic number, because the mean of its divisors is an integer number (263373072732).

Almost surely, 212110211200100 is an apocalyptic number.

12110211200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110211200100 is an abundant number, since it is smaller than the sum of its proper divisors (25815511273308).

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

12110211200100 is a wasteful number, since it uses less digits than its factorization.

12110211200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15762574 (or 15762567 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110211200100 its reverse (100211201121), we get a palindrome (12210422401221).

The spelling of 12110211200100 in words is "twelve trillion, one hundred ten billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 197 260 300 325 390 394 591 650 780 788 975 985 1182 1300 1950 1970 2364 2561 2955 3900 3940 4925 5122 5910 7683 9850 10244 11820 12805 14775 15366 19700 25610 29550 30732 38415 51220 59100 64025 76830 128050 153660 192075 256100 384150 768300 15762347 31524694 47287041 63049388 78811735 94574082 157623470 189148164 204910511 236435205 315246940 394058675 409821022 472870410 614731533 788117350 819642044 945740820 1024552555 1182176025 1229463066 1576234700 2049105110 2364352050 2458926132 3073657665 3105182359 4098210220 4728704100 5122762775 6147315330 6210364718 9315547077 10245525550 12294630660 12420729436 15368288325 15525911795 18631094154 20491051100 30736576650 31051823590 37262188308 40367370667 46577735385 61473153300 62103647180 77629558975 80734741334 93155470770 121102112001 155259117950 161469482668 186310941540 201836853335 232888676925 242204224002 310518235900 403673706670 465777353850 484408448004 605510560005 807347413340 931554707700 1009184266675 1211021120010 2018368533350 2422042240020 3027552800025 4036737066700 6055105600050 12110211200100