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101231424 = 263378369
BaseRepresentation
bin1100000100010…
…10101101000000
321001111002102000
412002022231000
5201403401144
614013424000
72336311230
oct602125500
9231432360
10101231424
1152162738
1229a9b000
1317c85168
14d631cc0
158d49769
hex608ab40

101231424 has 112 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 28919808.

The previous prime is 101231423. The next prime is 101231437. The reversal of 101231424 is 424132101.

101231424 is a `hidden beast` number, since 10 + 1 + 231 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 101231397 and 101231406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912 + ... + 16280.

Almost surely, 2101231424 is an apocalyptic number.

101231424 is a gapful number since it is divisible by the number (14) 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 101231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

101231424 is an abundant number, since it is smaller than the sum of its proper divisors (238925376).

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

101231424 is an equidigital number, since it uses as much as digits as its factorization.

101231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101231424 is about 10061.3828075469. The cubic root of 101231424 is about 466.0563704702.

Adding to 101231424 its reverse (424132101), we get a palindrome (525363525).

The spelling of 101231424 in words is "one hundred one million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 8369 12096 16738 25107 33476 50214 58583 66952 75321 100428 117166 133904 150642 175749 200856 225963 234332 267808 301284 351498 401712 451926 468664 527247 535616 602568 702996 803424 903852 937328 1054494 1205136 1405992 1581741 1606848 1807704 1874656 2108988 2410272 2811984 3163482 3615408 3749312 4217976 4820544 5623968 6326964 7230816 8435952 11247936 12653928 14461632 16871904 25307856 33743808 50615712 101231424