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20101224 = 23311135857
BaseRepresentation
bin100110010101…
…1100001101000
31101211020200210
41030223201220
520121214344
61554501120
7332600103
oct114534150
941736623
1020101224
111038a390
1268947a0
13421a520
14295373a
151b70db9
hex132b868

20101224 has 64 divisors (see below), whose sum is σ = 59048640. Its totient is φ = 5621760.

The previous prime is 20101219. The next prime is 20101229. The reversal of 20101224 is 42210102.

It is an interprime number because it is at equal distance from previous prime (20101219) and next prime (20101229).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20101229) by changing a digit.

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, 504 + ... + 6360.

It is an arithmetic number, because the mean of its divisors is an integer number (922635).

Almost surely, 220101224 is an apocalyptic number.

20101224 is a gapful number since it is divisible by the number (24) 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 20101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29524320).

20101224 is an abundant number, since it is smaller than the sum of its proper divisors (38947416).

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

20101224 is a wasteful number, since it uses less digits than its factorization.

20101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20101224 is about 4483.4388587333. The cubic root of 20101224 is about 271.8989315966.

Adding to 20101224 its reverse (42210102), we get a palindrome (62311326).

The spelling of 20101224 in words is "twenty million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 5857 11714 17571 23428 35142 46856 64427 70284 76141 128854 140568 152282 193281 228423 257708 304564 386562 456846 515416 609128 773124 837551 913692 1546248 1675102 1827384 2512653 3350204 5025306 6700408 10050612 20101224