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20301212100 = 223521310151539
BaseRepresentation
bin10010111010000010…
…111110100111000100
31221101211022102120110
4102322002332213010
5313034102241400
613154245233020
71316040312201
oct227202764704
957354272513
1020301212100
118678561144
123b26a02770
131bb6c0b350
14da82d2ca8
157dc418e50
hex4ba0be9c4

20301212100 has 144 divisors (see below), whose sum is σ = 63884036160. Its totient is φ = 4947648000.

The previous prime is 20301212089. The next prime is 20301212137. The reversal of 20301212100 is 121210302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368131 + ... + 419669.

It is an arithmetic number, because the mean of its divisors is an integer number (443639140).

Almost surely, 220301212100 is an apocalyptic number.

20301212100 is a gapful number since it is divisible by the number (20) 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 20301212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31942018080).

20301212100 is an abundant number, since it is smaller than the sum of its proper divisors (43582824060).

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

20301212100 is a wasteful number, since it uses less digits than its factorization.

20301212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51670 (or 51663 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20301212100 its reverse (121210302), we get a palindrome (20422422402).

The spelling of 20301212100 in words is "twenty billion, three hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 975 1010 1212 1300 1313 1515 1950 2020 2525 2626 3030 3900 3939 5050 5252 6060 6565 7575 7878 10100 13130 15150 15756 19695 26260 30300 32825 39390 51539 65650 78780 98475 103078 131300 154617 196950 206156 257695 309234 393900 515390 618468 670007 773085 1030780 1288475 1340014 1546170 2010021 2576950 2680028 3092340 3350035 3865425 4020042 5153900 5205439 6700070 7730850 8040084 10050105 10410878 13400140 15461700 15616317 16750175 20100210 20821756 26027195 31232634 33500350 40200420 50250525 52054390 62465268 67000700 67670707 78081585 100501050 104108780 130135975 135341414 156163170 201002100 203012121 260271950 270682828 312326340 338353535 390407925 406024242 520543900 676707070 780815850 812048484 1015060605 1353414140 1561631700 1691767675 2030121210 3383535350 4060242420 5075303025 6767070700 10150606050 20301212100