Search a number
-
+
1132103100 = 2235217474723
BaseRepresentation
bin100001101111010…
…1000010110111100
32220220020210111110
41003132220112330
54304304244400
6304200522020
740024501062
oct10336502674
92826223443
101132103100
115310518a7
12277180310
13150710cbb
14aa4d8032
15695c7e50
hex437a85bc

1132103100 has 144 divisors (see below), whose sum is σ = 3542773248. Its totient is φ = 278031360.

The previous prime is 1132103047. The next prime is 1132103113. The reversal of 1132103100 is 13012311.

1132103100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11321031002 = 2563314858059220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237339 + ... + 242061.

It is an arithmetic number, because the mean of its divisors is an integer number (24602592).

Almost surely, 21132103100 is an apocalyptic number.

1132103100 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 1132103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771386624).

1132103100 is an abundant number, since it is smaller than the sum of its proper divisors (2410670148).

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

1132103100 is a wasteful number, since it uses less digits than its factorization.

1132103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1132103100 is about 33646.7398123503. The cubic root of 1132103100 is about 1042.2262161388.

Adding to 1132103100 its reverse (13012311), we get a palindrome (1145115411).

The spelling of 1132103100 in words is "one billion, one hundred thirty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 47 50 51 60 68 75 85 94 100 102 141 150 170 188 204 235 255 282 300 340 425 470 510 564 705 799 850 940 1020 1175 1275 1410 1598 1700 2350 2397 2550 2820 3196 3525 3995 4700 4723 4794 5100 7050 7990 9446 9588 11985 14100 14169 15980 18892 19975 23615 23970 28338 39950 47230 47940 56676 59925 70845 79900 80291 94460 118075 119850 141690 160582 221981 236150 239700 240873 283380 321164 354225 401455 443962 472300 481746 665943 708450 802910 887924 963492 1109905 1204365 1331886 1416900 1605820 2007275 2219810 2408730 2663772 3329715 3773677 4014550 4439620 4817460 5549525 6021825 6659430 7547354 8029100 11099050 11321031 12043650 13318860 15094708 16648575 18868385 22198100 22642062 24087300 33297150 37736770 45284124 56605155 66594300 75473540 94341925 113210310 188683850 226420620 283025775 377367700 566051550 1132103100