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2103404120 = 2351937131571
BaseRepresentation
bin111110101011111…
…0110011001011000
312102120221000000022
41331113312121120
513301432412440
6544415130012
7103060432346
oct17527663130
95376830008
102103404120
1198a353714
124a8513908
13276a1042c
1415d4d4996
15c49dacb5
hex7d5f6658

2103404120 has 128 divisors (see below), whose sum is σ = 5164473600. Its totient is φ = 768268800.

The previous prime is 2103404111. The next prime is 2103404129. The reversal of 2103404120 is 214043012.

It is an interprime number because it is at equal distance from previous prime (2103404111) and next prime (2103404129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103404129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3683435 + ... + 3684005.

It is an arithmetic number, because the mean of its divisors is an integer number (40347450).

Almost surely, 22103404120 is an apocalyptic number.

2103404120 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 2103404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582236800).

2103404120 is an abundant number, since it is smaller than the sum of its proper divisors (3061069480).

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

2103404120 is a wasteful number, since it uses less digits than its factorization.

2103404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2103404120 is about 45862.8839040896. The cubic root of 2103404120 is about 1281.2707351156.

Adding to 2103404120 its reverse (214043012), we get a palindrome (2317447132).

The spelling of 2103404120 in words is "two billion, one hundred three million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 131 148 152 185 190 262 296 370 380 524 571 655 703 740 760 1048 1142 1310 1406 1480 2284 2489 2620 2812 2855 3515 4568 4847 4978 5240 5624 5710 7030 9694 9956 10849 11420 12445 14060 19388 19912 21127 21698 22840 24235 24890 28120 38776 42254 43396 48470 49780 54245 74801 84508 86792 92093 96940 99560 105635 108490 149602 169016 184186 193880 211270 216980 299204 368372 374005 401413 422540 433960 460465 598408 736744 748010 802826 845080 920930 1421219 1496020 1605652 1841860 2007065 2767637 2842438 2992040 3211304 3683720 4014130 5535274 5684876 7106095 8028260 11070548 11369752 13838185 14212190 16056520 22141096 27676370 28424380 52585103 55352740 56848760 105170206 110705480 210340412 262925515 420680824 525851030 1051702060 2103404120