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101063424 = 2837111709
BaseRepresentation
bin1100000011000…
…01101100000000
321001011112221210
412001201230000
5201333012144
614010050120
72335011360
oct601415400
9231145853
10101063424
11520584a0
1229a19940
1317c26857
14d5ca9a0
158d14ab9
hex6061b00

101063424 has 144 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 26234880.

The previous prime is 101063407. The next prime is 101063437. The reversal of 101063424 is 424360101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101063424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58282 + ... + 59990.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2101063424 is an apocalyptic number.

101063424 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 101063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

101063424 is an abundant number, since it is smaller than the sum of its proper divisors (234479616).

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

101063424 is a wasteful number, since it uses less digits than its factorization.

101063424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 101063424 is about 10053.0305878377. The cubic root of 101063424 is about 465.7984109673.

It can be divided in two parts, 10106 and 3424, that added together give a triangular number (13530 = T164).

The spelling of 101063424 in words is "one hundred one million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1709 1792 1848 2112 2464 2688 2816 3418 3696 4224 4928 5127 5376 6836 7392 8448 9856 10254 11963 13672 14784 18799 19712 20508 23926 27344 29568 35889 37598 41016 47852 54688 56397 59136 71778 75196 82032 95704 109376 112794 131593 143556 150392 164064 191408 218752 225588 263186 287112 300784 328128 382816 394779 437504 451176 526372 574224 601568 656256 765632 789558 902352 1052744 1148448 1203136 1312512 1531264 1579116 1804704 2105488 2296896 2406272 3062528 3158232 3609408 4210976 4593792 4812544 6316464 7218816 8421952 9187584 12632928 14437632 16843904 25265856 33687808 50531712 101063424