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120121023100 = 225213617512017
BaseRepresentation
bin110111111011111000…
…1010101101001111100
3102111001102220012222111
41233313301111221330
53432001440214400
6131103254223404
711451465564301
oct1576761255174
9374042805874
10120121023100
1146a41205611
121b344354b64
13b4342abb80
145b5744b0a8
1531d090e3ba
hex1bf7c55a7c

120121023100 has 144 divisors (see below), whose sum is σ = 285837010816. Its totient is φ = 43545600000.

The previous prime is 120121023079. The next prime is 120121023101. The reversal of 120121023100 is 1320121021.

It is a super-2 number, since 2×1201210231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121023101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59553292 + ... + 59555308.

Almost surely, 2120121023100 is an apocalyptic number.

120121023100 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 120121023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142918505408).

120121023100 is an abundant number, since it is smaller than the sum of its proper divisors (165715987716).

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

120121023100 is a wasteful number, since it uses less digits than its factorization.

120121023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120121023100 its reverse (1320121021), we get a palindrome (121441144121).

The spelling of 120121023100 in words is "one hundred twenty billion, one hundred twenty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 751 793 1220 1300 1502 1525 1586 2017 3004 3050 3172 3755 3965 4034 6100 7510 7930 8068 9763 10085 15020 15860 18775 19526 19825 20170 26221 37550 39052 39650 40340 45811 48815 50425 52442 75100 79300 91622 97630 100850 104884 123037 131105 183244 195260 201700 229055 244075 246074 262210 458110 488150 492148 524420 595543 615185 655525 916220 976300 1145275 1191086 1230370 1311050 1514767 1599481 2290550 2382172 2460740 2622100 2977715 3029534 3075925 3198962 4581100 5955430 6059068 6151850 6397924 7573835 7997405 11910860 12303700 14888575 15147670 15994810 19691971 29777150 30295340 31989620 37869175 39383942 39987025 59554300 75738350 78767884 79974050 92400787 98459855 151476700 159948100 184801574 196919710 369603148 393839420 462003935 492299275 924007870 984598550 1201210231 1848015740 1969197100 2310019675 2402420462 4620039350 4804840924 6006051155 9240078700 12012102310 24024204620 30030255775 60060511550 120121023100