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100120212012220 = 22543613076362039
BaseRepresentation
bin10110110000111100001101…
…101010111111110010111100
3111010111101202201102110212121
4112300330031222333302330
5101110332143233342340
6552534331311212324
730042306121322131
oct2660741552776274
9433441681373777
10100120212012220
11299a081a609204
12b28bb745170a4
1343b33ac23201a
141aa1bb6386588
15b895531a394a
hex5b0f0dabfcbc

100120212012220 has 96 divisors (see below), whose sum is σ = 218679588610560. Its totient is φ = 38473605192960.

The previous prime is 100120212012203. The next prime is 100120212012241. The reversal of 100120212012220 is 22210212021001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100120212012194 and 100120212012203.

It is a congruent number.

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, 1613795961 + ... + 1613857999.

It is an arithmetic number, because the mean of its divisors is an integer number (2277912381360).

Almost surely, 2100120212012220 is an apocalyptic number.

100120212012220 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 100120212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109339794305280).

100120212012220 is an abundant number, since it is smaller than the sum of its proper divisors (118559376598340).

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

100120212012220 is a wasteful number, since it uses less digits than its factorization.

100120212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92915 (or 92913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120212012220 its reverse (22210212021001), we get a palindrome (122330424033221).

The spelling of 100120212012220 in words is "one hundred trillion, one hundred twenty billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 2623 5246 10492 13115 26230 30763 52460 61526 62039 123052 124078 153815 248156 307630 310195 615260 620390 1240780 1322809 1876543 2645618 2667677 3753086 3784379 5291236 5335354 6614045 7506172 7568758 9382715 10670708 13228090 13338385 15137516 18765430 18921895 26456180 26676770 37530860 37843790 53353540 75687580 80691349 161382698 162728297 322765396 325456594 403456745 650913188 806913490 813641485 1613826980 1627282970 1908505757 3254565940 3817011514 7634023028 9542528785 19085057570 38170115140 82065747551 116418851177 164131495102 232837702354 328262990204 410328737755 465675404708 582094255885 820657475510 1164188511770 1641314951020 2328377023540 5006010600611 10012021201222 20024042402444 25030053003055 50060106006110 100120212012220