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200120001020 = 225151239277259
BaseRepresentation
bin1011101001100000010…
…1001110000111111100
3201010112201002100221122
42322120011032013330
511234321210013040
6231533414050112
720313105641132
oct2723005160774
9633481070848
10200120001020
11779635837a5
123294b949938
1315b431466b4
149985ddb752
155313c7a1b5
hex2e9814e1fc

200120001020 has 48 divisors (see below), whose sum is σ = 424806681600. Its totient is φ = 79184884800.

The previous prime is 200120001013. The next prime is 200120001023. The reversal of 200120001020 is 20100021002.

200120001020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200120000989 and 200120001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583151 + ... + 860409.

It is an arithmetic number, because the mean of its divisors is an integer number (8850139200).

Almost surely, 2200120001020 is an apocalyptic number.

200120001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200120001020 is an abundant number, since it is smaller than the sum of its proper divisors (224686680580).

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

200120001020 is a wasteful number, since it uses less digits than its factorization.

200120001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277658 (or 277656 counting only the distinct ones).

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

Adding to 200120001020 its reverse (20100021002), we get a palindrome (220220022022).

The spelling of 200120001020 in words is "two hundred billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 151 239 302 478 604 755 956 1195 1510 2390 3020 4780 36089 72178 144356 180445 277259 360890 554518 721780 1109036 1386295 2772590 5545180 41866109 66264901 83732218 132529802 167464436 209330545 265059604 331324505 418661090 662649010 837322180 1325298020 10006000051 20012000102 40024000204 50030000255 100060000510 200120001020