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2021142000 = 24353336857
BaseRepresentation
bin111100001111000…
…0010110111110000
312012212010122121010
41320132002313300
513114403021000
6532320030520
7101041265163
oct17036026760
95185118533
102021142000
11947977999
12484a62440
1326296a517
141525ddada
15bc68bd50
hex78782df0

2021142000 has 80 divisors (see below), whose sum is σ = 6516181152. Its totient is φ = 538969600.

The previous prime is 2021141989. The next prime is 2021142031. The reversal of 2021142000 is 2411202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162429 + ... + 174428.

Almost surely, 22021142000 is an apocalyptic number.

2021142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021142000 is an abundant number, since it is smaller than the sum of its proper divisors (4495039152).

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

2021142000 is a wasteful number, since it uses less digits than its factorization.

2021142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336883 (or 336867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2021142000 is about 44957.1128966263. The cubic root of 2021142000 is about 1264.3450394637.

Adding to 2021142000 its reverse (2411202), we get a palindrome (2023553202).

The spelling of 2021142000 in words is "two billion, twenty-one million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 336857 673714 1010571 1347428 1684285 2021142 2694856 3368570 4042284 5052855 5389712 6737140 8084568 8421425 10105710 13474280 16169136 16842850 20211420 25264275 26948560 33685700 40422840 42107125 50528550 67371400 80845680 84214250 101057100 126321375 134742800 168428500 202114200 252642750 336857000 404228400 505285500 673714000 1010571000 2021142000