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1104130342233 = 34294336731613
BaseRepresentation
bin10000000100010011010…
…010111111110101011001
310220112221202000220010000
4100010103102333311121
5121042224331422413
62203121441043213
7142525244025432
oct20042322776531
93815852026100
101104130342233
11396293880276
12159ba3026509
1380171705169
143b623c6a489
151dac33c1073
hex101134bfd59

1104130342233 has 80 divisors (see below), whose sum is σ = 1713798591120. Its totient is φ = 707570712576.

The previous prime is 1104130342199. The next prime is 1104130342241. The reversal of 1104130342233 is 3322430314011.

It is a happy number.

1104130342233 is a `hidden beast` number, since 1 + 10 + 413 + 0 + 3 + 4 + 2 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59803724304 + 1044326617929 = 244548^2 + 1021923^2 .

It is a de Polignac number, because none of the positive numbers 2k-1104130342233 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1104130342197 and 1104130342206.

It is not an unprimeable number, because it can be changed into a prime (1104130342243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 684518935 + ... + 684520547.

It is an arithmetic number, because the mean of its divisors is an integer number (21422482389).

Almost surely, 21104130342233 is an apocalyptic number.

It is an amenable number.

1104130342233 is a deficient number, since it is larger than the sum of its proper divisors (609668248887).

1104130342233 is a wasteful number, since it uses less digits than its factorization.

1104130342233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1104130342233 its reverse (3322430314011), we get a palindrome (4426560656244).

The spelling of 1104130342233 in words is "one trillion, one hundred four billion, one hundred thirty million, three hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 29 81 87 261 433 673 783 1299 1613 2019 2349 3897 4839 6057 11691 12557 14517 18171 19517 35073 37671 43551 46777 54513 58551 113013 130653 140331 175653 291409 339039 420993 526959 698429 874227 1017117 1085549 1262979 1580877 2095287 2622681 3256647 3788937 6285861 7868043 8450861 9769941 18857583 20254441 23604129 25352583 29309823 31480921 56572749 60763323 76057749 87929469 94442763 182289969 228173247 283328289 470042717 546869907 684519741 849984867 1410128151 1640609721 2549954601 4230384453 12691153359 13631238793 38073460077 40893716379 122681149137 368043447411 1104130342233