Search a number
-
+
1132154100 = 22325271117312
BaseRepresentation
bin100001101111011…
…0100110011110100
32220220100101110100
41003132310303310
54304312412400
6304201554100
740025102550
oct10336646364
92826311410
101132154100
11531087150
122771a5930
1315072b28c
14aa50c860
15695d8100
hex437b4cf4

1132154100 has 648 divisors, whose sum is σ = 4840565184. Its totient is φ = 214272000.

The previous prime is 1132154087. The next prime is 1132154129. The reversal of 1132154100 is 14512311.

It is a super-2 number, since 2×11321541002 = 2563545812293620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 215 ways as a sum of consecutive naturals, for example, 36521085 + ... + 36521115.

It is an arithmetic number, because the mean of its divisors is an integer number (7470008).

Almost surely, 21132154100 is an apocalyptic number.

1132154100 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 1132154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420282592).

1132154100 is an abundant number, since it is smaller than the sum of its proper divisors (3708411084).

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

1132154100 is a wasteful number, since it uses less digits than its factorization.

1132154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1132154100 is about 33647.4976781335. The cubic root of 1132154100 is about 1042.2418662856.

Adding to 1132154100 its reverse (14512311), we get a palindrome (1146666411).

The spelling of 1132154100 in words is "one billion, one hundred thirty-two million, one hundred fifty-four thousand, one hundred".