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1000020120 = 2335112832677
BaseRepresentation
bin111011100110110…
…001100010011000
32120200201021201020
4323212301202120
54022001120440
6243121522440
733532013361
oct7346614230
92520637636
101000020120
11473537a10
1223aaa3420
1312c2463a8
1496b54b68
155cbd73d0
hex3b9b1898

1000020120 has 128 divisors (see below), whose sum is σ = 3285584640. Its totient is φ = 241482240.

The previous prime is 1000020107. The next prime is 1000020139. The reversal of 1000020120 is 210200001.

It is a happy number.

1000020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1000020099 and 1000020108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372222 + ... + 374898.

It is an arithmetic number, because the mean of its divisors is an integer number (25668630).

Almost surely, 21000020120 is an apocalyptic number.

1000020120 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 1000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642792320).

1000020120 is an abundant number, since it is smaller than the sum of its proper divisors (2285564520).

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

1000020120 is a wasteful number, since it uses less digits than its factorization.

1000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2981 counting only the distinct ones).

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

The square root of 1000020120 is about 31623.0947252163. The cubic root of 1000020120 is about 1000.0067066217.

Adding to 1000020120 its reverse (210200001), we get a palindrome (1210220121).

The spelling of 1000020120 in words is "one billion, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 283 330 440 566 660 849 1132 1320 1415 1698 2264 2677 2830 3113 3396 4245 5354 5660 6226 6792 8031 8490 9339 10708 11320 12452 13385 15565 16062 16980 18678 21416 24904 26770 29447 31130 32124 33960 37356 40155 46695 53540 58894 62260 64248 74712 80310 88341 93390 107080 117788 124520 147235 160620 176682 186780 235576 294470 321240 353364 373560 441705 588940 706728 757591 883410 1177880 1515182 1766820 2272773 3030364 3533640 3787955 4545546 6060728 7575910 8333501 9091092 11363865 15151820 16667002 18182184 22727730 25000503 30303640 33334004 41667505 45455460 50001006 66668008 83335010 90910920 100002012 125002515 166670020 200004024 250005030 333340040 500010060 1000020120