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1004101104231 = 323173893591543
BaseRepresentation
bin11101001110010010001…
…01101111001001100111
310112222202112101002212100
432213021011233021213
5112422344340313411
62045135551223143
7132354363364101
oct16471105571147
93488675332770
101004101104231
11357922995235
12142727517ab3
13738bcb29534
1436854d98571
151b1bb80d456
hexe9c916f267

1004101104231 has 96 divisors (see below), whose sum is σ = 1539988070400. Its totient is φ = 629586017280.

The previous prime is 1004101104131. The next prime is 1004101104247. The reversal of 1004101104231 is 1324011014001.

1004101104231 is a `hidden beast` number, since 10 + 0 + 410 + 1 + 10 + 4 + 231 = 666.

It is not a de Polignac number, because 1004101104231 - 219 = 1004100579943 is a prime.

It is a super-2 number, since 2×10041011042312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004101104031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650745246 + ... + 650746788.

It is an arithmetic number, because the mean of its divisors is an integer number (16041542400).

Almost surely, 21004101104231 is an apocalyptic number.

1004101104231 is a deficient number, since it is larger than the sum of its proper divisors (535886966169).

1004101104231 is a wasteful number, since it uses less digits than its factorization.

1004101104231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1004101104231 its reverse (1324011014001), we get a palindrome (2328112118232).

The spelling of 1004101104231 in words is "one trillion, four billion, one hundred one million, one hundred four thousand, two hundred thirty-one".

Divisors: 1 3 9 31 73 89 93 219 267 279 359 657 801 1077 1543 2263 2759 3231 4629 6497 6789 8277 11129 13887 19491 20367 24831 26207 31951 33387 47833 58473 78621 95853 100161 112639 137327 143499 201407 235863 287559 337917 411981 430497 553937 604221 812417 990481 1013751 1235943 1661811 1812663 2332423 2437251 2971443 3491809 4257137 4985433 6997269 7311753 8914329 10024871 10475427 12771411 17172047 20991807 30074613 31426281 38314233 40437401 49300393 51516141 72305113 90223839 121312203 147901179 154548423 216915339 310771001 363936609 443703537 650746017 932313003 1253559431 1528312183 2796939009 3598928689 3760678293 4584936549 10796786067 11282034879 13754809647 32390358201 111566789359 334700368077 1004101104231