Search a number
-
+
1117131372 = 223371977773
BaseRepresentation
bin100001010010110…
…0001001001101100
32212212002011011000
41002211201021230
54241441200442
6302504000300
736453313530
oct10245411154
92785064130
101117131372
11523656375
12272160090
1314a59b4a6
14a851bbc0
156811bd4c
hex4296126c

1117131372 has 96 divisors (see below), whose sum is σ = 3484275200. Its totient is φ = 302377536.

The previous prime is 1117131361. The next prime is 1117131373. The reversal of 1117131372 is 2731317111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1117131373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24523 + ... + 53250.

Almost surely, 21117131372 is an apocalyptic number.

1117131372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1117131372 is an abundant number, since it is smaller than the sum of its proper divisors (2367143828).

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

1117131372 is a wasteful number, since it uses less digits than its factorization.

1117131372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77812 (or 77804 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 1117131372 is about 33423.5152549818. The cubic root of 1117131372 is about 1037.6114353040.

Adding to 1117131372 its reverse (2731317111), we get a palindrome (3848448483).

The spelling of 1117131372 in words is "one billion, one hundred seventeen million, one hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 77773 155546 233319 311092 466638 544411 699957 933276 1088822 1399914 1477687 1633233 2099871 2177644 2799828 2955374 3266466 4199742 4433061 4899699 5910748 6532932 8399484 8866122 9799398 10343809 13299183 14699097 17732244 19598796 20687618 26598366 29398194 31031427 39897549 41375236 53196732 58796388 62062854 79795098 93094281 124125708 159590196 186188562 279282843 372377124 558565686 1117131372