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141220332 = 2232112271571
BaseRepresentation
bin10000110101011…
…01100111101100
3100211201201212200
420122231213230
5242123022312
622002501500
73333232041
oct1032554754
9324651780
10141220332
1172795a20
123b364890
1323346936
1414a811c8
15c5e80dc
hex86ad9ec

141220332 has 72 divisors (see below), whose sum is σ = 391390272. Its totient is φ = 42578400.

The previous prime is 141220273. The next prime is 141220351. The reversal of 141220332 is 233022141.

141220332 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

141220332 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89107 + ... + 90677.

It is an arithmetic number, because the mean of its divisors is an integer number (5435976).

Almost surely, 2141220332 is an apocalyptic number.

141220332 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 141220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195695136).

141220332 is an abundant number, since it is smaller than the sum of its proper divisors (250169940).

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

141220332 is a wasteful number, since it uses less digits than its factorization.

141220332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141220332 is about 11883.6161163175. The cubic root of 141220332 is about 520.7537540253.

Adding to 141220332 its reverse (233022141), we get a palindrome (374242473).

The spelling of 141220332 in words is "one hundred forty-one million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 227 396 454 681 908 1362 1571 2043 2497 2724 3142 4086 4713 4994 6284 7491 8172 9426 9988 14139 14982 17281 18852 22473 28278 29964 34562 44946 51843 56556 69124 89892 103686 155529 207372 311058 356617 622116 713234 1069851 1426468 2139702 3209553 3922787 4279404 6419106 7845574 11768361 12838212 15691148 23536722 35305083 47073444 70610166 141220332