Search a number
-
+
2003010030 = 232576152121
BaseRepresentation
bin111011101100011…
…1000000111101110
312011121000110012200
41313120320013232
513100232310110
6530431242330
7100431206250
oct16730700756
95147013180
102003010030
1193871309a
1247a9793a6
1325bc8c448
1415003dcd0
15baca96c0
hex776381ee

2003010030 has 96 divisors (see below), whose sum is σ = 6049487808. Its totient is φ = 450316800.

The previous prime is 2003010013. The next prime is 2003010067. The reversal of 2003010030 is 300103002.

2003010030 = 223762 + 223772 + ... + 223792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003009994 and 2003010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12370 + ... + 64490.

It is an arithmetic number, because the mean of its divisors is an integer number (63015498).

Almost surely, 22003010030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024743904).

2003010030 is an abundant number, since it is smaller than the sum of its proper divisors (4046477778).

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

2003010030 is a wasteful number, since it uses less digits than its factorization.

2003010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52202 (or 52199 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2003010030 is about 44755.0000558597. Note that the first 4 decimals coincide. The cubic root of 2003010030 is about 1260.5527997628.

Adding to 2003010030 its reverse (300103002), we get a palindrome (2303113032).

The spelling of 2003010030 in words is "two billion, three million, ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1830 2135 2562 2745 3843 4270 5490 6405 7686 12810 19215 38430 52121 104242 156363 260605 312726 364847 469089 521210 729694 781815 938178 1094541 1563630 1824235 2189082 2345445 3179381 3283623 3648470 4690890 5472705 6358762 6567246 9538143 10945410 15896905 16418115 19076286 22255667 28614429 31793810 32836230 44511334 47690715 57228858 66767001 95381430 111278335 133534002 143072145 200301003 222556670 286144290 333835005 400602006 667670010 1001505015 2003010030