Search a number
-
+
32302330112 = 281321275879
BaseRepresentation
bin11110000101010111…
…100111000100000000
310002101012112101112202
4132011113213010000
51012123344030422
622501155012332
72222324163353
oct360527470400
9102335471482
1032302330112
1112776906798
126315b9a0a8
13307a374a00
1417c612229a
15c90d0ab92
hex7855e7100

32302330112 has 108 divisors (see below), whose sum is σ = 70381624320. Its totient is φ = 14788859904.

The previous prime is 32302330111. The next prime is 32302330153. The reversal of 32302330112 is 21103320323.

It is not an unprimeable number, because it can be changed into a prime (32302330111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5491589 + ... + 5497467.

Almost surely, 232302330112 is an apocalyptic number.

32302330112 is a gapful number since it is divisible by the number (32) 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 32302330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35190812160).

32302330112 is an abundant number, since it is smaller than the sum of its proper divisors (38079294208).

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

32302330112 is a wasteful number, since it uses less digits than its factorization.

32302330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32302330112 its reverse (21103320323), we get a palindrome (53405650435).

The spelling of 32302330112 in words is "thirty-two billion, three hundred two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 169 208 254 256 338 416 508 676 832 1016 1352 1651 1664 2032 2704 3302 3328 4064 5408 5879 6604 8128 10816 11758 13208 16256 21463 21632 23516 26416 32512 42926 43264 47032 52832 76427 85852 94064 105664 152854 171704 188128 211328 305708 343408 376256 422656 611416 686816 746633 752512 993551 1222832 1373632 1493266 1505024 1987102 2445664 2747264 2986532 3974204 4891328 5494528 5973064 7948408 9706229 9782656 11946128 15896816 19412458 19565312 23892256 31793632 38824916 47784512 63587264 77649832 95569024 126180977 127174528 155299664 191138048 252361954 254349056 310599328 504723908 621198656 1009447816 1242397312 2018895632 2484794624 4037791264 8075582528 16151165056 32302330112