Search a number
-
+
1150232100 = 223527948533
BaseRepresentation
bin100010010001111…
…0010011000100100
32222011100211210220
41010203302120210
54323424411400
6310045244340
740334545233
oct10443623044
92864324726
101150232100
11540304446
122812636b0
131543ba914
14aca96b1a
156aea97a0
hex448f2624

1150232100 has 72 divisors (see below), whose sum is σ = 3370200960. Its totient is φ = 302839680.

The previous prime is 1150232077. The next prime is 1150232101. The reversal of 1150232100 is 12320511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1150232100.

It is not an unprimeable number, because it can be changed into a prime (1150232101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567 + ... + 47966.

Almost surely, 21150232100 is an apocalyptic number.

1150232100 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 1150232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685100480).

1150232100 is an abundant number, since it is smaller than the sum of its proper divisors (2219968860).

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

1150232100 is a wasteful number, since it uses less digits than its factorization.

1150232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48629 (or 48622 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1150232100 is about 33915.0718707775. The cubic root of 1150232100 is about 1047.7600321247.

Adding to 1150232100 its reverse (12320511), we get a palindrome (1162552611).

The spelling of 1150232100 in words is "one billion, one hundred fifty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 48533 97066 145599 194132 242665 291198 485330 582396 727995 970660 1213325 1455990 2426650 2911980 3639975 3834107 4853300 7279950 7668214 11502321 14559900 15336428 19170535 23004642 38341070 46009284 57511605 76682140 95852675 115023210 191705350 230046420 287558025 383410700 575116050 1150232100