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100100010201200 = 24528271033292933
BaseRepresentation
bin10110110000101001011001…
…100011001101000001110000
3111010102110121211011010221122
4112300221121203031001300
5101110014310102414300
6552521150532241412
730040662365625662
oct2660513143150160
9433373554133848
10100100010201200
11299931a317a619
12b288076a70268
1343b150cab79a9
141aa0c1b36a532
15b88c6e871c85
hex5b0a598cd070

100100010201200 has 120 divisors (see below), whose sum is σ = 241014984799248. Its totient is φ = 39952737699840.

The previous prime is 100100010201197. The next prime is 100100010201211. The reversal of 100100010201200 is 2102010001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341569934 + ... + 341862866.

Almost surely, 2100100010201200 is an apocalyptic number.

100100010201200 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 100100010201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120507492399624).

100100010201200 is an abundant number, since it is smaller than the sum of its proper divisors (140914974598048).

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

100100010201200 is a wasteful number, since it uses less digits than its factorization.

100100010201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294811 (or 294800 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100010201200 its reverse (2102010001001), we get a palindrome (102202020202201).

The spelling of 100100010201200 in words is "one hundred trillion, one hundred billion, ten million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 827 1033 1654 2066 3308 4132 4135 5165 6616 8264 8270 10330 13232 16528 16540 20660 20675 25825 33080 41320 41350 51650 66160 82640 82700 103300 165400 206600 292933 330800 413200 585866 854291 1171732 1464665 1708582 2343464 2929330 3417164 4271455 4686928 5858660 6834328 7323325 8542910 11717320 13668656 14646650 17085820 21357275 23434640 29293300 34171640 42714550 58586600 68343280 85429100 117173200 170858200 242255591 302599789 341716400 484511182 605199578 969022364 1210399156 1211277955 1512998945 1938044728 2420798312 2422555910 3025997890 3876089456 4841596624 4845111820 6051995780 6056389775 7564994725 9690223640 12103991560 12112779550 15129989450 19380447280 24207983120 24225559100 30259978900 48451118200 60519957800 96902236400 121039915600 250250025503 500500051006 1001000102012 1251250127515 2002000204024 2502500255030 4004000408048 5005000510060 6256250637575 10010001020120 12512501275150 20020002040240 25025002550300 50050005100600 100100010201200