Search a number
-
+
1132121232 = 2433111912539
BaseRepresentation
bin100001101111010…
…1100110010010000
32220220021201101000
41003132230302100
54304310334412
6304201142000
740024604664
oct10336546220
92826251330
101132121232
11531064490
1227718a900
13150719328
14aa5008a4
15695cd4dc
hex437acc90

1132121232 has 160 divisors (see below), whose sum is σ = 3731904000. Its totient is φ = 324984960.

The previous prime is 1132121231. The next prime is 1132121261. The reversal of 1132121232 is 2321212311.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1132121231) 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, 84019 + ... + 96557.

It is an arithmetic number, because the mean of its divisors is an integer number (23324400).

Almost surely, 21132121232 is an apocalyptic number.

1132121232 is a gapful number since it is divisible by the number (12) 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 1132121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865952000).

1132121232 is an abundant number, since it is smaller than the sum of its proper divisors (2599782768).

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

1132121232 is a wasteful number, since it uses less digits than its factorization.

1132121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12586 (or 12574 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1132121232 is about 33647.0092578820. The cubic root of 1132121232 is about 1042.2317802801.

Adding to 1132121232 its reverse (2321212311), we get a palindrome (3453333543).

The spelling of 1132121232 in words is "one billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5643 7524 8208 10032 11286 12539 15048 22572 25078 30096 37617 45144 50156 75234 90288 100312 112851 137929 150468 200624 225702 238241 275858 300936 338553 413787 451404 476482 551716 601872 677106 714723 827574 902808 952964 1103432 1241361 1354212 1429446 1655148 1805616 1905928 2144169 2206864 2482722 2620651 2708424 2858892 3310296 3724083 3811856 4288338 4965444 5241302 5416848 5717784 6432507 6620592 7448166 7861953 8576676 9930888 10482604 11435568 12865014 14896332 15723906 17153352 19861776 20965208 23585859 25730028 29792664 31447812 34306704 41930416 47171718 51460056 59585328 62895624 70757577 94343436 102920112 125791248 141515154 188686872 283030308 377373744 566060616 1132121232