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1155133100 = 2252114722343
BaseRepresentation
bin100010011011001…
…1110111010101100
32222111120211201102
41010312132322230
54331203224400
6310342302232
740424316662
oct10466367254
92874524642
101155133100
11543051660
12282a27978
13155415614
14ad5b0c32
156b6269d5
hex44d9eeac

1155133100 has 72 divisors (see below), whose sum is σ = 2792821248. Its totient is φ = 411092800.

The previous prime is 1155133069. The next prime is 1155133103. The reversal of 1155133100 is 13315511.

It is a super-2 number, since 2×11551331002 = 2668664957431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1155133103) 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 23 ways as a sum of consecutive naturals, for example, 40529 + ... + 62871.

It is an arithmetic number, because the mean of its divisors is an integer number (38789184).

Almost surely, 21155133100 is an apocalyptic number.

1155133100 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 1155133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396410624).

1155133100 is an abundant number, since it is smaller than the sum of its proper divisors (1637688148).

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

1155133100 is a wasteful number, since it uses less digits than its factorization.

1155133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22415 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 1155133100 is about 33987.2490796181. The cubic root of 1155133100 is about 1049.2460498382.

Adding to 1155133100 its reverse (13315511), we get a palindrome (1168448611).

The spelling of 1155133100 in words is "one billion, one hundred fifty-five million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 22343 25850 44686 51700 89372 111715 223430 245773 446860 491546 558575 983092 1050121 1117150 1228865 2100242 2234300 2457730 4200484 4915460 5250605 6144325 10501210 11551331 12288650 21002420 23102662 24577300 26253025 46205324 52506050 57756655 105012100 115513310 231026620 288783275 577566550 1155133100