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1133243104104 = 2332193241338389
BaseRepresentation
bin10000011111011010100…
…011010111101101101000
311000100002122211102120200
4100133122203113231220
5122031340213312404
62224334340352200
7144605551310256
oct20373243275550
94010078742520
101133243104104
113a7673209151
121637689a5660
1382b31021587
143cbc651b5d6
151e72918e839
hex107da8d7b68

1133243104104 has 96 divisors (see below), whose sum is σ = 3097913075400. Its totient is φ = 374230056960.

The previous prime is 1133243104087. The next prime is 1133243104109. The reversal of 1133243104104 is 4014013423311.

1133243104104 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 243 + 1 + 0 + 410 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1075016448900 + 58226655204 = 1036830^2 + 241302^2 .

It is not an unprimeable number, because it can be changed into a prime (1133243104109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3179742 + ... + 3518130.

Almost surely, 21133243104104 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 1133243104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548956537700).

1133243104104 is an abundant number, since it is smaller than the sum of its proper divisors (1964669971296).

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

1133243104104 is a wasteful number, since it uses less digits than its factorization.

1133243104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338835 (or 338828 counting only the distinct ones).

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

Adding to 1133243104104 its reverse (4014013423311), we get a palindrome (5147256527415).

The spelling of 1133243104104 in words is "one trillion, one hundred thirty-three billion, two hundred forty-three million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 241 386 482 579 723 772 964 1158 1446 1544 1737 1928 2169 2316 2892 3474 4338 4632 5784 6948 8676 13896 17352 46513 93026 139539 186052 279078 338389 372104 418617 558156 676778 837234 1015167 1116312 1353556 1674468 2030334 2707112 3045501 3348936 4060668 6091002 8121336 12182004 24364008 65309077 81551749 130618154 163103498 195927231 244655247 261236308 326206996 391854462 489310494 522472616 587781693 652413992 733965741 783708924 978620988 1175563386 1467931482 1567417848 1957241976 2351126772 2935862964 4702253544 5871725928 15739487557 31478975114 47218462671 62957950228 94436925342 125915900456 141655388013 188873850684 283310776026 377747701368 566621552052 1133243104104