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101142340 = 22513715479
BaseRepresentation
bin1100000011101…
…00111101000100
321001022120012121
412001310331010
5201343023330
614011455324
72335460425
oct601647504
9231276177
10101142340
1152101812
1229a57544
1317c53750
14d60b64c
158d2d17a
hex6074f44

101142340 has 48 divisors (see below), whose sum is σ = 232001280. Its totient is φ = 36812160.

The previous prime is 101142311. The next prime is 101142341. The reversal of 101142340 is 43241101.

It is not an unprimeable number, because it can be changed into a prime (101142341) 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, 15721 + ... + 21199.

It is an arithmetic number, because the mean of its divisors is an integer number (4833360).

Almost surely, 2101142340 is an apocalyptic number.

101142340 is a gapful number since it is divisible by the number (10) 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 101142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116000640).

101142340 is an abundant number, since it is smaller than the sum of its proper divisors (130858940).

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

101142340 is a wasteful number, since it uses less digits than its factorization.

101142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101142340 is about 10056.9548074952. The cubic root of 101142340 is about 465.9196199477.

Adding to 101142340 its reverse (43241101), we get a palindrome (144383441).

The spelling of 101142340 in words is "one hundred one million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 5479 9230 10958 18460 21916 27395 54790 71227 109580 142454 284908 356135 389009 712270 778018 1424540 1556036 1945045 3890090 5057117 7780180 10114234 20228468 25285585 50571170 101142340