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101432412 = 22341916477
BaseRepresentation
bin1100000101110…
…11110001011100
321001212022010000
412002323301130
5201431314122
614022014300
72341106214
oct602736134
9231768100
10101432412
115228a744
1229b77390
13180257a3
14d685244
158d890ac
hex60bbc5c

101432412 has 60 divisors (see below), whose sum is σ = 279137320. Its totient is φ = 32029344.

The previous prime is 101432389. The next prime is 101432413. The reversal of 101432412 is 214234101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101432413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2083 + ... + 14394.

Almost surely, 2101432412 is an apocalyptic number.

101432412 is a gapful number since it is divisible by the number (12) 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 101432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139568660).

101432412 is an abundant number, since it is smaller than the sum of its proper divisors (177704908).

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

101432412 is a wasteful number, since it uses less digits than its factorization.

101432412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16512 (or 16501 counting only the distinct ones).

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

The square root of 101432412 is about 10071.3659450940. The cubic root of 101432412 is about 466.3646074763.

Adding to 101432412 its reverse (214234101), we get a palindrome (315666513).

The spelling of 101432412 in words is "one hundred one million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 16477 32954 49431 65908 98862 148293 197724 296586 313063 444879 593172 626126 889758 939189 1252252 1334637 1779516 1878378 2669274 2817567 3756756 5338548 5635134 8452701 11270268 16905402 25358103 33810804 50716206 101432412