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101424112 = 24233521
BaseRepresentation
bin1100000101110…
…01101111110000
321001211212201121
412002321233300
5201431032422
614021512024
72341043056
oct602715760
9231755647
10101424112
1152284489
1229b72614
1318021a8a
14d6821d6
158d868c7
hex60b9bf0

101424112 has 40 divisors (see below), whose sum is σ = 205835040. Its totient is φ = 48414080.

The previous prime is 101424101. The next prime is 101424137. The reversal of 101424112 is 211424101.

It is a happy number.

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

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, 194412 + ... + 194932.

It is an arithmetic number, because the mean of its divisors is an integer number (5145876).

Almost surely, 2101424112 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 101424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102917520).

101424112 is an abundant number, since it is smaller than the sum of its proper divisors (104410928).

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

101424112 is an frugal number, since it uses more digits than its factorization.

101424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 101424112 is about 10070.9538773643. The cubic root of 101424112 is about 466.3518865857.

Adding to 101424112 its reverse (211424101), we get a palindrome (312848213).

The spelling of 101424112 in words is "one hundred one million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 521 529 1042 1058 2084 2116 4168 4232 8336 8464 11983 12167 23966 24334 47932 48668 95864 97336 191728 194672 275609 551218 1102436 2204872 4409744 6339007 12678014 25356028 50712056 101424112