Search a number
-
+
20221220100 = 22352101667367
BaseRepresentation
bin10010110101010001…
…110101010100000100
31221012020210102011210
4102311101311110010
5312403113020400
613142310531420
71314046351314
oct226521652404
957166712153
1020221220100
118637395a54
123b04066b70
131ba34817c3
14d9b82d444
157d53b7950
hex4b5475504

20221220100 has 72 divisors (see below), whose sum is σ = 59086093248. Its totient is φ = 5338928000.

The previous prime is 20221220093. The next prime is 20221220143. The reversal of 20221220100 is 102212202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303384 + ... + 363983.

It is an arithmetic number, because the mean of its divisors is an integer number (820640184).

Almost surely, 220221220100 is an apocalyptic number.

20221220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221220100 is an abundant number, since it is smaller than the sum of its proper divisors (38864873148).

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

20221220100 is a wasteful number, since it uses less digits than its factorization.

20221220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667485 (or 667478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20221220100 its reverse (102212202), we get a palindrome (20323432302).

The spelling of 20221220100 in words is "twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 667367 1334734 2002101 2669468 3336835 4004202 6673670 8008404 10010505 13347340 16684175 20021010 33368350 40042020 50052525 66736700 67404067 100105050 134808134 200210100 202212201 269616268 337020335 404424402 674040670 808848804 1011061005 1348081340 1685101675 2022122010 3370203350 4044244020 5055305025 6740406700 10110610050 20221220100