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2103435120 = 243531328001
BaseRepresentation
bin111110101011111…
…1101111101110000
312102120222120112110
41331113331331300
513301434410440
6544415525320
7103060621623
oct17527757560
95376876473
102103435120
1198a374a36
124a8529840
13276a21587
1415d501dba
15c49e5080
hex7d5fdf70

2103435120 has 80 divisors (see below), whose sum is σ = 6541715232. Its totient is φ = 559104000.

The previous prime is 2103435097. The next prime is 2103435121. The reversal of 2103435120 is 215343012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103435121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61120 + ... + 89120.

Almost surely, 22103435120 is an apocalyptic number.

2103435120 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 2103435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270857616).

2103435120 is an abundant number, since it is smaller than the sum of its proper divisors (4438280112).

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

2103435120 is a wasteful number, since it uses less digits than its factorization.

2103435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28330 (or 28324 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2103435120 is about 45863.2218667638. The cubic root of 2103435120 is about 1281.2770295468.

Adding to 2103435120 its reverse (215343012), we get a palindrome (2318778132).

The spelling of 2103435120 in words is "two billion, one hundred three million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 12520 15024 18780 25040 28001 37560 56002 75120 84003 112004 140005 168006 224008 280010 336012 420015 448016 560020 672024 840030 1120040 1344048 1680060 2240080 3360120 6720240 8764313 17528626 26292939 35057252 43821565 52585878 70114504 87643130 105171756 131464695 140229008 175286260 210343512 262929390 350572520 420687024 525858780 701145040 1051717560 2103435120