Search a number
-
+
1223201100 = 22352112311087
BaseRepresentation
bin100100011101000…
…1001000101001100
310011020200001110110
41020322021011030
510001114413400
6321213240020
742212015652
oct11072110514
93136601413
101223201100
11578513100
122a1793010
13166558944
14b864cdd2
15725bee50
hex48e8914c

1223201100 has 216 divisors, whose sum is σ = 4019298304. Its totient is φ = 286704000.

The previous prime is 1223201099. The next prime is 1223201107. The reversal of 1223201100 is 11023221.

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

It is not an unprimeable number, because it can be changed into a prime (1223201107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124757 + ... + 1125843.

Almost surely, 21223201100 is an apocalyptic number.

1223201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009649152).

1223201100 is an abundant number, since it is smaller than the sum of its proper divisors (2796097204).

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

1223201100 is a wasteful number, since it uses less digits than its factorization.

1223201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1223201100 is about 34974.2919871153. The cubic root of 1223201100 is about 1069.4634687470.

Adding to 1223201100 its reverse (11023221), we get a palindrome (1234224321).

The spelling of 1223201100 in words is "one billion, two hundred twenty-three million, two hundred one thousand, one hundred".