Search a number
-
+
1030202330003 = 721121743251947
BaseRepresentation
bin11101111110111001101…
…10000000101110010011
310122111010120102202102222
432333130312000232103
5113334323244030003
62105133551131255
7134300242215200
oct16773466005623
93574116382388
101030202330003
113679a73a3500
121477b0813b2b
13761bc552622
1437c0d6bcca7
151bbe8009c38
hexefdcd80b93

1030202330003 has 144 divisors (see below), whose sum is σ = 1434367896192. Its totient is φ = 734247360000.

The previous prime is 1030202329991. The next prime is 1030202330009. The reversal of 1030202330003 is 3000332020301.

It is not a de Polignac number, because 1030202330003 - 218 = 1030202067859 is a prime.

It is a super-2 number, since 2×10302023300032 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1030202330009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1087858376 + ... + 1087859322.

It is an arithmetic number, because the mean of its divisors is an integer number (9960888168).

Almost surely, 21030202330003 is an apocalyptic number.

1030202330003 is a deficient number, since it is larger than the sum of its proper divisors (404165566189).

1030202330003 is a wasteful number, since it uses less digits than its factorization.

1030202330003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 1030202330003 its reverse (3000332020301), we get a palindrome (4030534350304).

The spelling of 1030202330003 in words is "one trillion, thirty billion, two hundred two million, three hundred thirty thousand, three".

Divisors: 1 7 11 17 43 49 77 119 121 187 251 301 473 539 731 833 847 947 1309 1757 2057 2107 2761 3311 4267 5117 5203 5929 6629 8041 9163 10417 10793 12299 14399 16099 19327 23177 29869 30371 35819 36421 40721 46403 46937 56287 72919 75551 88451 100793 112693 114587 118723 135289 177089 183481 209083 212597 237697 254947 285047 328559 394009 447931 510433 516307 528857 619157 692257 788851 802109 831061 1239623 1284367 1305953 1488179 1663879 1947979 1995329 2018291 2299913 2614667 3135517 3614149 4040849 4334099 4845799 4927241 5614763 5817427 7614827 8677361 8990569 9141671 10220971 11647153 13635853 14128037 18302669 21948619 22201201 25299043 28285943 28761337 33920593 34490687 44449339 53303789 63991697 71546797 83763097 95450971 98896259 112430681 128118683 155408407 173756507 198001601 201329359 241434809 311145373 373126523 488942729 500827579 586341679 787014767 1087858849 1216295549 1236737491 1409305513 1911321577 2178017611 3422599103 4104391753 5509103369 8514068843 8657162437 13379251039 21024537347 23958193721 60600137059 93654757273 147171761429 1030202330003