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1003104032304 = 2431137433118583
BaseRepresentation
bin11101001100011011010…
…10001101011000110000
310112220012001012121022110
432212031222031120300
5112413324113013204
62044453012405320
7132320565406623
oct16461552153060
93486161177273
101003104032304
11357461091350
121424a9616840
13737913a604a
143679c7addba
151b15e009889
hexe98da8d630

1003104032304 has 160 divisors (see below), whose sum is σ = 2910062744064. Its totient is φ = 295069962240.

The previous prime is 1003104032261. The next prime is 1003104032317. The reversal of 1003104032304 is 4032304013001.

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 31 ways as a sum of consecutive naturals, for example, 8399797 + ... + 8518379.

Almost surely, 21003104032304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003104032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455031372032).

1003104032304 is an abundant number, since it is smaller than the sum of its proper divisors (1906958711760).

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

1003104032304 is a wasteful number, since it uses less digits than its factorization.

1003104032304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119075 (or 119069 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1003104032304 its reverse (4032304013001), we get a palindrome (5035408045305).

The spelling of 1003104032304 in words is "one trillion, three billion, one hundred four million, thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 433 444 528 592 814 866 888 1221 1299 1628 1732 1776 2442 2598 3256 3464 4763 4884 5196 6512 6928 9526 9768 10392 14289 16021 19052 19536 20784 28578 32042 38104 48063 57156 64084 76208 96126 114312 118583 128168 176231 192252 228624 237166 256336 352462 355749 384504 474332 528693 704924 711498 769008 948664 1057386 1304413 1409848 1422996 1897328 2114772 2608826 2819696 2845992 3913239 4229544 4387571 5217652 5691984 7826478 8459088 8775142 10435304 13162713 15652956 17550284 20870608 26325426 31305912 35100568 48263281 51346439 52650852 62611824 70201136 96526562 102692878 105301704 144789843 154039317 193053124 205385756 210603408 289579686 308078634 386106248 410771512 564810829 579159372 616157268 772212496 821543024 1129621658 1158318744 1232314536 1694432487 1899818243 2259243316 2316637488 2464629072 3388864974 3799636486 4518486632 5699454729 6777729948 7599272972 9036973264 11398909458 13555459896 15198545944 20898000673 22797818916 27110919792 30397091888 41796001346 45595637832 62694002019 83592002692 91191275664 125388004038 167184005384 250776008076 334368010768 501552016152 1003104032304