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2020113120 = 253510141669
BaseRepresentation
bin111100001101000…
…0111101011100000
312012210012101020110
41320122013223200
513114122104440
6532242011320
7101026451424
oct17032075340
95183171213
102020113120
11947334983
12484646b40
1326269a10c
14152412b84
15bc537080
hex78687ae0

2020113120 has 96 divisors (see below), whose sum is σ = 6426514080. Its totient is φ = 533350400.

The previous prime is 2020113103. The next prime is 2020113133. The reversal of 2020113120 is 213110202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20201131202 = 8161714035192268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2020113096 and 2020113105.

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, 27646 + ... + 69314.

It is an arithmetic number, because the mean of its divisors is an integer number (66942855).

Almost surely, 22020113120 is an apocalyptic number.

2020113120 is a gapful number since it is divisible by the number (20) 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 2020113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213257040).

2020113120 is an abundant number, since it is smaller than the sum of its proper divisors (4406400960).

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

2020113120 is a wasteful number, since it uses less digits than its factorization.

2020113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41788 (or 41780 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2020113120 is about 44945.6685343538. The cubic root of 2020113120 is about 1264.1304610843.

Adding to 2020113120 its reverse (213110202), we get a palindrome (2233223322).

The spelling of 2020113120 in words is "two billion, twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 41669 48480 83338 125007 166676 208345 250014 333352 416690 500028 625035 666704 833380 1000056 1250070 1333408 1666760 2000112 2500140 3333520 4000224 4208569 5000280 6667040 8417138 10000560 12625707 16834276 20001120 21042845 25251414 33668552 42085690 50502828 63128535 67337104 84171380 101005656 126257070 134674208 168342760 202011312 252514140 336685520 404022624 505028280 673371040 1010056560 2020113120