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2021101020 = 22325103109013
BaseRepresentation
bin111100001110111…
…1000110111011100
312012212001120101100
41320131320313130
513114400213040
6532315113100
7101041034541
oct17035706734
95185046340
102021101020
1194794a124
12484a42790
13262954983
141525ccbc8
15bc67eb30
hex78778ddc

2021101020 has 72 divisors (see below), whose sum is σ = 6190250976. Its totient is φ = 533722752.

The previous prime is 2021101009. The next prime is 2021101039. The reversal of 2021101020 is 201011202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2021100993 and 2021101011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35967 + ... + 73046.

It is an arithmetic number, because the mean of its divisors is an integer number (85975708).

Almost surely, 22021101020 is an apocalyptic number.

2021101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021101020 is an abundant number, since it is smaller than the sum of its proper divisors (4169149956).

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

2021101020 is a wasteful number, since it uses less digits than its factorization.

2021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109131 (or 109126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2021101020 is about 44956.6571266147. The cubic root of 2021101020 is about 1264.3364942600.

Adding to 2021101020 its reverse (201011202), we get a palindrome (2222112222).

It can be divided in two parts, 2021 and 101020, that added together give a square (103041 = 3212).

The spelling of 2021101020 in words is "two billion, twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 109013 218026 327039 436052 545065 654078 981117 1090130 1308156 1635195 1962234 2180260 3270390 3924468 4905585 6540780 9811170 11228339 19622340 22456678 33685017 44913356 56141695 67370034 101055051 112283390 134740068 168425085 202110102 224566780 336850170 404220204 505275255 673700340 1010550510 2021101020