Search a number
-
+
1022202100 = 225226338867
BaseRepresentation
bin111100111011011…
…001000011110100
32122020110020200001
4330323121003310
54043140431400
6245233201044
734221401023
oct7473310364
92566406601
101022202100
11485008627
12246400184
13133a11a1a
1499a8a8ba
155eb19a6a
hex3ced90f4

1022202100 has 36 divisors (see below), whose sum is σ = 2226669984. Its totient is φ = 407315680.

The previous prime is 1022202067. The next prime is 1022202131. The reversal of 1022202100 is 12022201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6867 + ... + 45733.

It is an arithmetic number, because the mean of its divisors is an integer number (61851944).

Almost surely, 21022202100 is an apocalyptic number.

1022202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022202100 is an abundant number, since it is smaller than the sum of its proper divisors (1204467884).

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

1022202100 is a wasteful number, since it uses less digits than its factorization.

1022202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39144 (or 39137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1022202100 is about 31971.8954708663. The cubic root of 1022202100 is about 1007.3465953653.

Adding to 1022202100 its reverse (12022201), we get a palindrome (1034224301).

The spelling of 1022202100 in words is "one billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 263 526 1052 1315 2630 5260 6575 13150 26300 38867 77734 155468 194335 388670 777340 971675 1943350 3886700 10222021 20444042 40888084 51110105 102220210 204440420 255550525 511101050 1022202100