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1020112020 = 2232511350153
BaseRepresentation
bin111100110011011…
…010110010010100
32122002112001121200
4330303122302110
54042122041040
6245120312500
734164544344
oct7463326224
92562461550
101020112020
11483910294
12245772730
1313345c5a5
14996a4d24
155e855630
hex3ccdac94

1020112020 has 72 divisors (see below), whose sum is σ = 3121785576. Its totient is φ = 269617152.

The previous prime is 1020112003. The next prime is 1020112057. The reversal of 1020112020 is 202110201.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 1020035844 = 276^2 + 31938^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020111993 and 1020112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4737 + ... + 45416.

It is an arithmetic number, because the mean of its divisors is an integer number (43358133).

Almost surely, 21020112020 is an apocalyptic number.

1020112020 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 1020112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560892788).

1020112020 is an abundant number, since it is smaller than the sum of its proper divisors (2101673556).

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

1020112020 is a wasteful number, since it uses less digits than its factorization.

1020112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50281 (or 50276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020112020 is about 31939.1925383219. The cubic root of 1020112020 is about 1006.6595584974.

Adding to 1020112020 its reverse (202110201), we get a palindrome (1222222221).

The spelling of 1020112020 in words is "one billion, twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 50153 100306 150459 200612 250765 300918 451377 501530 601836 752295 902754 1003060 1504590 1805508 2256885 3009180 4513770 5667289 9027540 11334578 17001867 22669156 28336445 34003734 51005601 56672890 68007468 85009335 102011202 113345780 170018670 204022404 255028005 340037340 510056010 1020112020