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1020120000 = 263548501
BaseRepresentation
bin111100110011011…
…100101111000000
32122002112110120020
4330303130233000
54042122320000
6245120413440
734164606534
oct7463345700
92562473506
101020120000
11483916289
12245777280
13133463103
14996a7bc4
155e857ba0
hex3ccdcbc0

1020120000 has 140 divisors (see below), whose sum is σ = 3373151496. Its totient is φ = 272000000.

The previous prime is 1020119999. The next prime is 1020120041. The reversal of 1020120000 is 210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115750 + ... + 124250.

Almost surely, 21020120000 is an apocalyptic number.

1020120000 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 1020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686575748).

1020120000 is an abundant number, since it is smaller than the sum of its proper divisors (2353031496).

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

1020120000 is an frugal number, since it uses more digits than its factorization.

1020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8536 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020120000 is about 31939.3174629640. The cubic root of 1020120000 is about 1006.6621834125.

Adding to 1020120000 its reverse (210201), we get a palindrome (1020330201).

The spelling of 1020120000 in words is "one billion, twenty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 8501 10000 12000 15000 17002 20000 24000 25503 30000 34004 40000 42505 51006 60000 68008 85010 102012 120000 127515 136016 170020 204024 212525 255030 272032 340040 408048 425050 510060 544064 637575 680080 816096 850100 1020120 1062625 1275150 1360160 1632192 1700200 2040240 2125250 2550300 2720320 3187875 3400400 4080480 4250500 5100600 5313125 6375750 6800800 8160960 8501000 10201200 10626250 12751500 13601600 15939375 17002000 20402400 21252500 25503000 31878750 34004000 40804800 42505000 51006000 63757500 68008000 85010000 102012000 127515000 170020000 204024000 255030000 340040000 510060000 1020120000