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332412101 = 71731251359
BaseRepresentation
bin10011110100000…
…011010011000101
3212011111021200022
4103310003103011
51140044141401
652552424525
711144312330
oct2364032305
9764437608
10332412101
1116070214a
12933a8145
1353b38968
143220d617
151e2b271b
hex13d034c5

332412101 has 32 divisors (see below), whose sum is σ = 418037760. Its totient is φ = 257760000.

The previous prime is 332412079. The next prime is 332412137. The reversal of 332412101 is 101214233.

It is a cyclic number.

It is not a de Polignac number, because 332412101 - 26 = 332412037 is a prime.

It is a super-2 number, since 2×3324121012 = 220995609782468402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 332412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332412151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925760 + ... + 926118.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2332412101 is an apocalyptic number.

332412101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

332412101 is a deficient number, since it is larger than the sum of its proper divisors (85625659).

332412101 is a wasteful number, since it uses less digits than its factorization.

332412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 332412101 is about 18232.1721415744. The cubic root of 332412101 is about 692.7219381867.

Adding to 332412101 its reverse (101214233), we get a palindrome (433626334).

The spelling of 332412101 in words is "three hundred thirty-two million, four hundred twelve thousand, one hundred one".

Divisors: 1 7 17 31 119 217 251 359 527 1757 2513 3689 4267 6103 7781 11129 29869 42721 54467 77903 90109 132277 189193 630763 925939 1324351 1531853 2793379 10722971 19553653 47487443 332412101