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132024444420 = 2235111811105177
BaseRepresentation
bin111101011110101000…
…1010010011000000100
3110121210000021200021210
41322331101102120010
54130341224210140
6140352354011420
712352455155451
oct1727521223004
9417700250253
10132024444420
1150a9a3a21a0
1221706876b70
13c5b042a23b
1465662c8828
15367a953d80
hex1ebd452604

132024444420 has 96 divisors (see below), whose sum is σ = 405503070336. Its totient is φ = 31829068800.

The previous prime is 132024444403. The next prime is 132024444437. The reversal of 132024444420 is 24444420231.

It is an interprime number because it is at equal distance from previous prime (132024444403) and next prime (132024444437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433129 + ... + 672048.

It is an arithmetic number, because the mean of its divisors is an integer number (4223990316).

Almost surely, 2132024444420 is an apocalyptic number.

132024444420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132024444420 is an abundant number, since it is smaller than the sum of its proper divisors (273478625916).

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

132024444420 is a wasteful number, since it uses less digits than its factorization.

132024444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105381 (or 1105379 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 132024444420 its reverse (24444420231), we get a palindrome (156468864651).

The spelling of 132024444420 in words is "one hundred thirty-two billion, twenty-four million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 19910 23892 29865 39820 59730 119460 1105177 2210354 3315531 4420708 5525885 6631062 11051770 12156947 13262124 16577655 22103540 24313894 33155310 36470841 48627788 60784735 66310620 72941682 121569470 145883364 182354205 200037037 243138940 364708410 400074074 600111111 729416820 800148148 1000185185 1200222222 2000370370 2200407407 2400444444 3000555555 4000740740 4400814814 6001111110 6601222221 8801629628 11002037035 12002222220 13202444442 22004074070 26404888884 33006111105 44008148140 66012222210 132024444420