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100000111210120 = 235111512833531281
BaseRepresentation
bin10110101111001100010111…
…000110110010111010001000
3111010001220202200120120220001
4112233030113012302322020
5101101400211432210440
6552403230014212344
730030524656334062
oct2657142706627210
9433056680516801
10100000111210120
1129954899864a70
12b270836ab40b4
1343a4c7c1b3054
141a9a0618c0732
15b8637443ab9a
hex5af3171b2e88

100000111210120 has 128 divisors (see below), whose sum is σ = 247168027342080. Its totient is φ = 36110039040000.

The previous prime is 100000111210073. The next prime is 100000111210183. The reversal of 100000111210120 is 21012111000001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100000111210097 and 100000111210106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187958880 + ... + 188490160.

It is an arithmetic number, because the mean of its divisors is an integer number (1931000213610).

Almost surely, 2100000111210120 is an apocalyptic number.

100000111210120 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 100000111210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123584013671040).

100000111210120 is an abundant number, since it is smaller than the sum of its proper divisors (147167916131960).

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

100000111210120 is a wasteful number, since it uses less digits than its factorization.

100000111210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534287 (or 534283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100000111210120 its reverse (21012111000001), we get a palindrome (121012222210121).

The spelling of 100000111210120 in words is "one hundred trillion, one hundred eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 2833 3020 3322 5666 6040 6644 8305 11332 13288 14165 16610 22664 28330 31163 33220 56660 62326 66440 113320 124652 155815 249304 311630 427783 531281 623260 855566 1062562 1246520 1711132 2125124 2138915 2656405 3422264 4250248 4277830 4705613 5312810 5844091 8555660 9411226 10625620 11688182 17111320 18822452 21251240 23376364 23528065 29220455 37644904 46752728 47056130 58440910 80223431 94112260 116881820 160446862 188224520 233763640 320893724 401117155 641787448 802234310 882457741 1505119073 1604468620 1764915482 3010238146 3208937240 3529830964 4412288705 6020476292 7059661928 7525595365 8824577410 12040952584 15051190730 16556309803 17649154820 30102381460 33112619606 35298309640 60204762920 66225239212 82781549015 132450478424 165563098030 227272980023 331126196060 454545960046 662252392120 909091920092 1136364900115 1818183840184 2272729800230 2500002780253 4545459600460 5000005560506 9090919200920 10000011121012 12500013901265 20000022242024 25000027802530 50000055605060 100000111210120