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101831472 = 24331072203
BaseRepresentation
bin1100001000111…
…01001100110000
321002121120112000
412010131030300
5202032101342
614034334000
72344360521
oct604351460
9232546460
10101831472
1152532546
122a12a300
1318135312
14d74a848
158e1744c
hex611d330

101831472 has 80 divisors (see below), whose sum is σ = 295159680. Its totient is φ = 33611328.

The previous prime is 101831461. The next prime is 101831501. The reversal of 101831472 is 274138101.

101831472 is a `hidden beast` number, since 10 + 183 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45123 + ... + 47325.

It is an arithmetic number, because the mean of its divisors is an integer number (3689496).

Almost surely, 2101831472 is an apocalyptic number.

101831472 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 101831472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147579840).

101831472 is an abundant number, since it is smaller than the sum of its proper divisors (193328208).

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

101831472 is a wasteful number, since it uses less digits than its factorization.

101831472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101831472 is about 10091.1581099495. The cubic root of 101831472 is about 466.9754047698.

Adding to 101831472 its reverse (274138101), we get a palindrome (375969573).

The spelling of 101831472 in words is "one hundred one million, eight hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2203 2568 2889 3852 4406 5136 5778 6609 7704 8812 11556 13218 15408 17624 19827 23112 26436 35248 39654 46224 52872 59481 79308 105744 118962 158616 235721 237924 317232 471442 475848 707163 942884 951696 1414326 1885768 2121489 2828652 3771536 4242978 5657304 6364467 8485956 11314608 12728934 16971912 25457868 33943824 50915736 101831472