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101294424 = 23327113151
BaseRepresentation
bin1100000100110…
…10000101011000
321001121021211100
412002122011120
5201412410144
614015031400
72336663010
oct602320530
9231537740
10101294424
11521a6000
1229b0b560
1317ca7a3a
14d64ac40
158d5d269
hex609a158

101294424 has 192 divisors, whose sum is σ = 347143680. Its totient is φ = 26136000.

The previous prime is 101294411. The next prime is 101294533. The reversal of 101294424 is 424492101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670749 + ... + 670899.

It is an arithmetic number, because the mean of its divisors is an integer number (1808040).

Almost surely, 2101294424 is an apocalyptic number.

101294424 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 101294424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173571840).

101294424 is an abundant number, since it is smaller than the sum of its proper divisors (245849256).

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

101294424 is a wasteful number, since it uses less digits than its factorization.

101294424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 101294424 is about 10064.5131029772. The cubic root of 101294424 is about 466.1530317024.

The spelling of 101294424 in words is "one hundred one million, two hundred ninety-four thousand, four hundred twenty-four".