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2123453430 = 2325716720183
BaseRepresentation
bin111111010010001…
…0101001111110110
312110222122121111100
41332210111033312
513322101002210
6550412550530
7103423025220
oct17644251766
95428577440
102123453430
1199a6a7a9a
124b3182446
1327ac10127
14162033410
15c664b5c0
hex7e9153f6

2123453430 has 96 divisors (see below), whose sum is σ = 6347787264. Its totient is φ = 482430528.

The previous prime is 2123453429. The next prime is 2123453441. The reversal of 2123453430 is 343543212.

2123453430 is a `hidden beast` number, since 2 + 123 + 4 + 534 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2123453394 and 2123453403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95119 + ... + 115301.

It is an arithmetic number, because the mean of its divisors is an integer number (66122784).

Almost surely, 22123453430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123453430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173893632).

2123453430 is an abundant number, since it is smaller than the sum of its proper divisors (4224333834).

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

2123453430 is a wasteful number, since it uses less digits than its factorization.

2123453430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2123453430 is about 46080.9443262614. The cubic root of 2123453430 is about 1285.3288241843.

Adding to 2123453430 its reverse (343543212), we get a palindrome (2466996642).

The spelling of 2123453430 in words is "two billion, one hundred twenty-three million, four hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 167 210 315 334 501 630 835 1002 1169 1503 1670 2338 2505 3006 3507 5010 5845 7014 7515 10521 11690 15030 17535 20183 21042 35070 40366 52605 60549 100915 105210 121098 141281 181647 201830 282562 302745 363294 423843 605490 706405 847686 908235 1271529 1412810 1816470 2119215 2543058 3370561 4238430 6357645 6741122 10111683 12715290 16852805 20223366 23593927 30335049 33705610 47187854 50558415 60670098 70781781 101116830 117969635 141563562 151675245 212345343 235939270 303350490 353908905 424690686 707817810 1061726715 2123453430