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2100213122020 = 2251321913253219
BaseRepresentation
bin11110100011111110011…
…101010000001111100100
321102210000110111220122221
4132203332131100033210
5233402214024401040
64244454040002124
7304510144662406
oct36437635201744
97383013456587
102100213122020
1173a771611692
1229b051160344
13123084273a00
1473917d4ab76
1539970cb474a
hex1e8fe7503e4

2100213122020 has 72 divisors (see below), whose sum is σ = 4800815792640. Its totient is φ = 771403052160.

The previous prime is 2100213122009. The next prime is 2100213122197. The reversal of 2100213122020 is 202213120012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2100213121985 and 2100213122003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981030 + ... + 2272189.

It is an arithmetic number, because the mean of its divisors is an integer number (66677997120).

Almost surely, 22100213122020 is an apocalyptic number.

2100213122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100213122020 is an abundant number, since it is smaller than the sum of its proper divisors (2700602670620).

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

2100213122020 is a wasteful number, since it uses less digits than its factorization.

2100213122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253445 (or 3253430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2100213122020 its reverse (202213120012), we get a palindrome (2302426242032).

The spelling of 2100213122020 in words is "two trillion, one hundred billion, two hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 191 260 338 382 676 764 845 955 1690 1910 2483 3380 3820 4966 9932 12415 24830 32279 49660 64558 129116 161395 322790 645580 3253219 6506438 13012876 16266095 32532190 42291847 65064380 84583694 169167388 211459235 422918470 549794011 621364829 845836940 1099588022 1242729658 2199176044 2485459316 2748970055 3106824145 5497940110 6213648290 8077742777 10995880220 12427296580 16155485554 32310971108 40388713885 80777427770 105010656101 161554855540 210021312202 420042624404 525053280505 1050106561010 2100213122020