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1004324101326 = 233713757269987
BaseRepresentation
bin11101001110101100110…
…00011001110011001110
310120000100001222112101000
432213112120121303032
5112423323432220301
62045214035001130
7132363042002310
oct16472630316316
93500301875330
101004324101326
11357a27855257
1214278a1391a6
13739270a6190
14368768457b0
151b1d11ab786
hexe9d6619cce

1004324101326 has 128 divisors (see below), whose sum is σ = 2750508149760. Its totient is φ = 264525803136.

The previous prime is 1004324101309. The next prime is 1004324101357. The reversal of 1004324101326 is 6231014234001.

It is a happy number.

1004324101326 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 324 + 10 + 1 + 326 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004324101326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3584905 + ... + 3854891.

It is an arithmetic number, because the mean of its divisors is an integer number (21488344920).

Almost surely, 21004324101326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004324101326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375254074880).

1004324101326 is an abundant number, since it is smaller than the sum of its proper divisors (1746184048434).

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

1004324101326 is a wasteful number, since it uses less digits than its factorization.

1004324101326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270775 (or 270769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1004324101326 its reverse (6231014234001), we get a palindrome (7235338335327).

The spelling of 1004324101326 in words is "one trillion, four billion, three hundred twenty-four million, one hundred one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 757 819 1514 1638 2271 2457 4542 4914 5299 6813 9841 10598 13626 15897 19682 20439 29523 31794 40878 47691 59046 68887 88569 95382 137774 143073 177138 206661 265707 269987 286146 413322 531414 539974 619983 809961 1239966 1619922 1859949 1889909 2429883 3509831 3719898 3779818 4859766 5669727 7019662 7289649 10529493 11339454 14579298 17009181 21058986 24568817 31588479 34018362 49137634 51027543 63176958 73706451 94765437 102055086 147412902 189530874 204380159 221119353 408760318 442238706 613140477 663358059 1226280954 1326716118 1430661113 1839421431 2656942067 2861322226 3678842862 4291983339 5313884134 5518264293 7970826201 8583966678 11036528586 12875950017 15941652402 18598594469 23912478603 25751900034 37197188938 38627850051 47824957206 55795783407 71737435809 77255700102 111591566814 143474871618 167387350221 334774700442 502162050663 1004324101326