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20200001020100 = 225211101371948889
BaseRepresentation
bin1001001011111001011011…
…11000101010000011000100
32122112002201210200000110122
410211330231320222003010
510121424100230120400
6110543430302041112
74153254566444636
oct445745570520304
978462653600418
1020200001020100
116488854a656a0
122322a8b579198
13b36b0c89c305
144db984526a56
152506ad45c685
hex125f2de2a0c4

20200001020100 has 144 divisors (see below), whose sum is σ = 48306339446400. Its totient is φ = 7270623360000.

The previous prime is 20200001020051. The next prime is 20200001020163. The reversal of 20200001020100 is 102010000202.

20200001020100 is a modest number, since divided by 1020100 gives 202000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413156456 + ... + 413205344.

It is an arithmetic number, because the mean of its divisors is an integer number (335460690600).

Almost surely, 220200001020100 is an apocalyptic number.

20200001020100 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 20200001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153169723200).

20200001020100 is an abundant number, since it is smaller than the sum of its proper divisors (28106338426300).

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

20200001020100 is a wasteful number, since it uses less digits than its factorization.

20200001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52734 (or 52727 counting only the distinct ones).

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

Adding to 20200001020100 its reverse (102010000202), we get a palindrome (20302011020302).

The spelling of 20200001020100 in words is "twenty trillion, two hundred billion, one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 3719 4444 5050 5555 7438 10100 11110 14876 18595 22220 27775 37190 40909 48889 55550 74380 81818 92975 97778 111100 163636 185950 195556 204545 244445 371900 375619 409090 488890 537779 751238 818180 977780 1022725 1075558 1222225 1502476 1878095 2045450 2151116 2444450 2688895 3756190 4090900 4131809 4888900 4937789 5377790 7512380 8263618 9390475 9875578 10755580 13444475 16527236 18780950 19751156 20659045 24688945 26888950 37561900 41318090 49377890 53777900 54315679 82636180 98755780 103295225 108631358 123444725 181818191 206590450 217262716 246889450 271578395 363636382 413180900 493778900 543156790 727272764 909090955 1086313580 1357891975 1818181910 2000000101 2715783950 3636363820 4000000202 4545454775 5431567900 8000000404 9090909550 10000000505 18181819100 18363637291 20000001010 36727274582 40000002020 50000002525 73454549164 91818186455 100000005050 183636372910 200000010100 202000010201 367272745820 404000020402 459090932275 808000040804 918181864550 1010000051005 1836363729100 2020000102010 4040000204020 5050000255025 10100000510050 20200001020100