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132313313232 = 24327183155921
BaseRepresentation
bin111101100111001111…
…1001110111111010000
3110122112010211201210200
41323032133032333100
54131434202010412
6140441153255200
712362563414542
oct1731637167720
9418463751720
10132313313232
1151128463651
1221787564500
13c62822b629
146592801692
153695eb49dc
hex1ece7cefd0

132313313232 has 120 divisors (see below), whose sum is σ = 380035551168. Its totient is φ = 42959078400.

The previous prime is 132313313141. The next prime is 132313313239. The reversal of 132313313232 is 232313313231.

132313313232 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 331 + 323 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132313313196 and 132313313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313313239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770632 + ... + 926552.

Almost surely, 2132313313232 is an apocalyptic number.

132313313232 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 132313313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190017775584).

132313313232 is an abundant number, since it is smaller than the sum of its proper divisors (247722237936).

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

132313313232 is a wasteful number, since it uses less digits than its factorization.

132313313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156089 (or 156080 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 132313313232 its reverse (232313313231), we get a palindrome (364626626463).

Subtracting 132313313232 from its reverse (232313313231), we obtain a palindrome (99999999999).

The spelling of 132313313232 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 83 142 144 166 213 249 284 332 426 498 568 639 664 747 852 996 1136 1278 1328 1494 1704 1992 2556 2988 3408 3984 5112 5893 5976 10224 11786 11952 17679 23572 35358 47144 53037 70716 94288 106074 141432 155921 212148 282864 311842 424296 467763 623684 848592 935526 1247368 1403289 1871052 2494736 2806578 3742104 5613156 7484208 11070391 11226312 12941443 22140782 22452624 25882886 33211173 38824329 44281564 51765772 66422346 77648658 88563128 99633519 103531544 116472987 132844692 155297316 177126256 199267038 207063088 232945974 265689384 310594632 398534076 465891948 531378768 621189264 797068152 918842453 931783896 1594136304 1837684906 1863567792 2756527359 3675369812 5513054718 7350739624 8269582077 11026109436 14701479248 16539164154 22052218872 33078328308 44104437744 66156656616 132313313232