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1020000120 = 23359838647
BaseRepresentation
bin111100110010111…
…111011101111000
32122002022101010020
4330302333131320
54042110000440
6245114050440
734163600166
oct7462773570
92562271106
101020000120
11483844207
12245719a20
13133420689
1499676236
155e8323d0
hex3ccbf778

1020000120 has 64 divisors (see below), whose sum is σ = 3063467520. Its totient is φ = 271691904.

The previous prime is 1020000109. The next prime is 1020000131. The reversal of 1020000120 is 210000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020000109) and next prime (1020000131).

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 junction number, because it is equal to n+sod(n) for n = 1020000099 and 1020000108.

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, 113637 + ... + 122283.

It is an arithmetic number, because the mean of its divisors is an integer number (47866680).

Almost surely, 21020000120 is an apocalyptic number.

1020000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020000120 is an abundant number, since it is smaller than the sum of its proper divisors (2043467400).

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

1020000120 is a wasteful number, since it uses less digits than its factorization.

1020000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644 (or 9640 counting only the distinct ones).

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

The square root of 1020000120 is about 31937.4407240154. The cubic root of 1020000120 is about 1006.6227490355.

Adding to 1020000120 its reverse (210000201), we get a palindrome (1230000321).

The spelling of 1020000120 in words is "one billion, twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 983 1966 2949 3932 4915 5898 7864 8647 9830 11796 14745 17294 19660 23592 25941 29490 34588 39320 43235 51882 58980 69176 86470 103764 117960 129705 172940 207528 259410 345880 518820 1037640 8500001 17000002 25500003 34000004 42500005 51000006 68000008 85000010 102000012 127500015 170000020 204000024 255000030 340000040 510000060 1020000120