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101031424 = 291343353
BaseRepresentation
bin1100000010110…
…01111000000000
321001002221001121
412001121320000
5201331001144
614005242024
72334516154
oct601317000
9231087047
10101031424
115203644a
1229a03314
1317c15110
14d5bd064
158d0a384
hex6059e00

101031424 has 80 divisors (see below), whose sum is σ = 223079472. Its totient is φ = 45416448.

The previous prime is 101031419. The next prime is 101031451. The reversal of 101031424 is 424130101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101031398 and 101031407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286032 + ... + 286384.

Almost surely, 2101031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111539736).

101031424 is an abundant number, since it is smaller than the sum of its proper divisors (122048048).

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

101031424 is an equidigital number, since it uses as much as digits as its factorization.

101031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101031424 is about 10051.4389019682. The cubic root of 101031424 is about 465.7492434181.

Adding to 101031424 its reverse (424130101), we get a palindrome (525161525).

The spelling of 101031424 in words is "one hundred one million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 353 416 512 559 688 706 832 1118 1376 1412 1664 2236 2752 2824 3328 4472 4589 5504 5648 6656 8944 9178 11008 11296 15179 17888 18356 22016 22592 30358 35776 36712 45184 60716 71552 73424 90368 121432 143104 146848 180736 197327 242864 286208 293696 394654 485728 587392 789308 971456 1174784 1578616 1942912 2349568 3157232 3885824 6314464 7771648 12628928 25257856 50515712 101031424