Search a number
-
+
1122402100 = 225214975329
BaseRepresentation
bin100001011100110…
…0111111100110100
32220012222221020011
41002321213330310
54244313331400
6303212550004
736546155221
oct10271477464
92805887204
101122402100
11526626346
12273a82304
1314b6c5571
14a90d0948
156880d8ba
hex42e67f34

1122402100 has 36 divisors (see below), whose sum is σ = 2451991500. Its totient is φ = 445941760.

The previous prime is 1122402097. The next prime is 1122402107. The reversal of 1122402100 is 12042211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 347002384 + 775399716 = 18628^2 + 27846^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122402107) by changing a digit.

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, 22765 + ... + 52564.

It is an arithmetic number, because the mean of its divisors is an integer number (68110875).

Almost surely, 21122402100 is an apocalyptic number.

1122402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122402100 is an abundant number, since it is smaller than the sum of its proper divisors (1329589400).

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

1122402100 is a wasteful number, since it uses less digits than its factorization.

1122402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75492 (or 75485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1122402100 is about 33502.2700723399. The cubic root of 1122402100 is about 1039.2407241612.

Adding to 1122402100 its reverse (12042211), we get a palindrome (1134444311).

The spelling of 1122402100 in words is "one billion, one hundred twenty-two million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 75329 150658 301316 376645 753290 1506580 1883225 3766450 7532900 11224021 22448042 44896084 56120105 112240210 224480420 280600525 561201050 1122402100