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1021412000 = 2553736479
BaseRepresentation
bin111100111000011…
…000001010100000
32122011222002212002
4330320120022200
54042440141000
6245204223132
734211600360
oct7470301240
92564862762
101021412000
11484618a54
1224609aaa8
131337c61cb
14999229a0
155ea108d5
hex3ce182a0

1021412000 has 96 divisors (see below), whose sum is σ = 2868203520. Its totient is φ = 350188800.

The previous prime is 1021411949. The next prime is 1021412009. The reversal of 1021412000 is 2141201.

It is not an unprimeable number, because it can be changed into a prime (1021412009) 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, 9761 + ... + 46239.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 21021412000 is an apocalyptic number.

1021412000 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 1021412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

1021412000 is an abundant number, since it is smaller than the sum of its proper divisors (1846791520).

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

1021412000 is an equidigital number, since it uses as much as digits as its factorization.

1021412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36511 (or 36493 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1021412000 is about 31959.5369177965. The cubic root of 1021412000 is about 1007.0869892675.

Adding to 1021412000 its reverse (2141201), we get a palindrome (1023553201).

The spelling of 1021412000 in words is "one billion, twenty-one million, four hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 36479 72958 145916 182395 255353 291832 364790 510706 583664 729580 911975 1021412 1167328 1276765 1459160 1823950 2042824 2553530 2918320 3647900 4085648 4559875 5107060 5836640 6383825 7295800 8171296 9119750 10214120 12767650 14591600 18239500 20428240 25535300 29183200 31919125 36479000 40856480 51070600 63838250 72958000 102141200 127676500 145916000 204282400 255353000 510706000 1021412000