Search a number
-
+
1101132032 = 28711134297
BaseRepresentation
bin100000110100001…
…1111000100000000
32211201222022011212
41001220133010000
54223342211112
6301133025252
736200316320
oct10150370400
92751868155
101101132032
11515618880
12268925228
13147189020
14a6355280
1566a0b522
hex41a1f100

1101132032 has 144 divisors (see below), whose sum is σ = 2951797632. Its totient is φ = 395919360.

The previous prime is 1101132031. The next prime is 1101132049. The reversal of 1101132032 is 2302311011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1101131998 and 1101132016.

It is not an unprimeable number, because it can be changed into a prime (1101132031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254108 + ... + 258404.

Almost surely, 21101132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475898816).

1101132032 is an abundant number, since it is smaller than the sum of its proper divisors (1850665600).

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

1101132032 is a wasteful number, since it uses less digits than its factorization.

1101132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1101132032 is about 33183.3095395863. The cubic root of 1101132032 is about 1032.6341074215.

Adding to 1101132032 its reverse (2302311011), we get a palindrome (3403443043).

The spelling of 1101132032 in words is "one billion, one hundred one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 256 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 1792 2002 2288 2464 2816 2912 3328 4004 4297 4576 4928 5824 8008 8594 9152 9856 11648 16016 17188 18304 19712 23296 30079 32032 34376 36608 47267 55861 60158 64064 68752 94534 111722 120316 128128 137504 189068 223444 240632 256256 275008 330869 378136 391027 446888 481264 550016 614471 661738 756272 782054 893776 962528 1100032 1228942 1323476 1512544 1564108 1787552 1925056 2457884 2646952 3025088 3128216 3575104 3850112 4301297 4915768 5293904 6050176 6256432 7150208 7700224 8602594 9831536 10587808 12100352 12512864 14300416 17205188 19663072 21175616 25025728 34410376 39326144 42351232 50051456 68820752 78652288 84702464 100102912 137641504 157304576 275283008 550566016 1101132032