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2103513120 = 253251460773
BaseRepresentation
bin111110101100001…
…0001000000100000
312102121010112112100
41331120101000200
513301444404440
6544421330400
7103061365212
oct17530210040
95377115470
102103513120
1198a4185a5
124a8566a00
13276a4ac27
1415d5225b2
15c4a0d230
hex7d611020

2103513120 has 72 divisors (see below), whose sum is σ = 7178243436. Its totient is φ = 560936448.

The previous prime is 2103513103. The next prime is 2103513121. The reversal of 2103513120 is 213153012.

2103513120 is a `hidden beast` number, since 2 + 1 + 0 + 351 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2039064336 + 64448784 = 45156^2 + 8028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2103513093 and 2103513102.

It is not an unprimeable number, because it can be changed into a prime (2103513121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728947 + ... + 731826.

Almost surely, 22103513120 is an apocalyptic number.

2103513120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103513120 is an abundant number, since it is smaller than the sum of its proper divisors (5074730316).

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

2103513120 is a wasteful number, since it uses less digits than its factorization.

2103513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460794 (or 1460783 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2103513120 is about 45864.0722134439. The cubic root of 2103513120 is about 1281.2928668743.

Adding to 2103513120 its reverse (213153012), we get a palindrome (2316666132).

The spelling of 2103513120 in words is "two billion, one hundred three million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1460773 2921546 4382319 5843092 7303865 8764638 11686184 13146957 14607730 17529276 21911595 23372368 26293914 29215460 35058552 43823190 46744736 52587828 58430920 65734785 70117104 87646380 105175656 116861840 131469570 140234208 175292760 210351312 233723680 262939140 350585520 420702624 525878280 701171040 1051756560 2103513120