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120234432021 = 311101281128377
BaseRepresentation
bin110111111111010000…
…1111101011000010101
3102111100100021222202220
41233332201331120111
53432220003311041
6131122425052553
711454343544454
oct1577641753025
9374310258686
10120234432021
1146a9a2253a0
121b376327159
13b451938a42
145b6852cb9b
1531da861d66
hex1bfe87d615

120234432021 has 32 divisors (see below), whose sum is σ = 177247910016. Its totient is φ = 71890560000.

The previous prime is 120234432001. The next prime is 120234432103.

It is a happy number.

120234432021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120234432021 - 26 = 120234431957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120234431982 and 120234432000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120234432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872385 + ... + 1000761.

It is an arithmetic number, because the mean of its divisors is an integer number (5538997188).

Almost surely, 2120234432021 is an apocalyptic number.

120234432021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120234432021 is a deficient number, since it is larger than the sum of its proper divisors (57013477995).

120234432021 is a wasteful number, since it uses less digits than its factorization.

120234432021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128773.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 120234 and 432021, that added together give a palindrome (552255).

The spelling of 120234432021 in words is "one hundred twenty billion, two hundred thirty-four million, four hundred thirty-two thousand, twenty-one".

Divisors: 1 3 11 33 101 281 303 843 1111 3091 3333 9273 28381 85143 128377 312191 385131 936573 1412147 4236441 12966077 36073937 38898231 108221811 142626847 396813307 427880541 1190439921 3643467637 10930402911 40078144007 120234432021