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101434368 = 210375389
BaseRepresentation
bin1100000101111…
…00010000000000
321001212101210110
412002330100000
5201431344433
614022031320
72341115010
oct602742000
9231771713
10101434368
1152291162
1229b78540
1318026649
14d685c40
158d89963
hex60bc400

101434368 has 176 divisors, whose sum is σ = 318349440. Its totient is φ = 28114944.

The previous prime is 101434367. The next prime is 101434381. The reversal of 101434368 is 863434101.

It is not an unprimeable number, because it can be changed into a prime (101434367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139668 + ... + 1139756.

Almost surely, 2101434368 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 101434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159174720).

101434368 is an abundant number, since it is smaller than the sum of its proper divisors (216915072).

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

101434368 is an equidigital number, since it uses as much as digits as its factorization.

101434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 101434368 is about 10071.4630516127. The cubic root of 101434368 is about 466.3676052140.

Adding to 101434368 its reverse (863434101), we get a palindrome (964868469).

The spelling of 101434368 in words is "one hundred one million, four hundred thirty-four thousand, three hundred sixty-eight".