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2102342424 = 233713274047
BaseRepresentation
bin111110101001111…
…0011001100011000
312102111221001122020
41331103303030120
513301144424144
6544340254440
7103045421130
oct17523631430
95374831566
102102342424
11989798a86
124a80a1420
1327672b100
1415d2d9ac0
15c487b419
hex7d4f3318

2102342424 has 96 divisors (see below), whose sum is σ = 6504376320. Its totient is φ = 554456448.

The previous prime is 2102342399. The next prime is 2102342449. The reversal of 2102342424 is 4242432012.

It is an interprime number because it is at equal distance from previous prime (2102342399) and next prime (2102342449).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2102342394 and 2102342403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8632 + ... + 65415.

It is an arithmetic number, because the mean of its divisors is an integer number (67753920).

Almost surely, 22102342424 is an apocalyptic number.

2102342424 is a gapful number since it is divisible by the number (24) 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 2102342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252188160).

2102342424 is an abundant number, since it is smaller than the sum of its proper divisors (4402033896).

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

2102342424 is a wasteful number, since it uses less digits than its factorization.

2102342424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74089 (or 74072 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2102342424 is about 45851.3077676090. The cubic root of 2102342424 is about 1281.0551244712.

Adding to 2102342424 its reverse (4242432012), we get a palindrome (6344774436).

The spelling of 2102342424 in words is "two billion, one hundred two million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 9464 14196 28392 74047 148094 222141 296188 444282 518329 592376 888564 962611 1036658 1554987 1777128 1925222 2073316 2887833 3109974 3850444 4146632 5775666 6219948 6738277 7700888 11551332 12439896 12513943 13476554 20214831 23102664 25027886 26953108 37541829 40429662 50055772 53906216 75083658 80859324 87597601 100111544 150167316 161718648 175195202 262792803 300334632 350390404 525585606 700780808 1051171212 2102342424