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2042430201 = 33731712973
BaseRepresentation
bin111100110111101…
…0000001011111001
312021100012012112000
41321233100023321
513140330231301
6534400211213
7101420241000
oct17157201371
95240165460
102042430201
11958998049
12490009b09
132671b20a6
14155381c37
15be494786
hex79bd02f9

2042430201 has 64 divisors (see below), whose sum is σ = 3736512000. Its totient is φ = 1098365184.

The previous prime is 2042430193. The next prime is 2042430209. The reversal of 2042430201 is 1020342402.

It is an interprime number because it is at equal distance from previous prime (2042430193) and next prime (2042430209).

It is not a de Polignac number, because 2042430201 - 23 = 2042430193 is a prime.

It is a super-2 number, since 2×20424302012 = 8343042251913800802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042430209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150951 + ... + 163923.

It is an arithmetic number, because the mean of its divisors is an integer number (58383000).

Almost surely, 22042430201 is an apocalyptic number.

2042430201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2042430201 is a deficient number, since it is larger than the sum of its proper divisors (1694081799).

2042430201 is a wasteful number, since it uses less digits than its factorization.

2042430201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042430201 is about 45193.2539324178. The cubic root of 2042430201 is about 1268.7685587456.

Adding to 2042430201 its reverse (1020342402), we get a palindrome (3062772603).

It can be divided in two parts, 20424 and 30201, that added together give a 4-th power (50625 = 154).

The spelling of 2042430201 in words is "two billion, forty-two million, four hundred thirty thousand, two hundred one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 343 357 441 459 833 1029 1071 1323 2499 3087 3213 5831 7497 9261 12973 17493 22491 38919 52479 90811 116757 157437 220541 272433 350271 635677 661623 817299 1543787 1907031 1984869 2451897 4449739 4631361 5721093 5954607 10806509 13349217 13894083 17163279 32419527 40047651 41682249 75645563 97258581 120142953 226936689 291775743 680810067 2042430201