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1130110233213 = 313234732038369
BaseRepresentation
bin10000011100011111110…
…100011010101001111101
311000001000022210002122110
4100130133310122221331
5122003431204430323
62223055424204233
7144435120326013
oct20343764325175
94001008702573
101130110233213
113a6305845955
12163033769679
1382751c57910
143c9aa4088b3
151e5e4101793
hex1071fd1aa7d

1130110233213 has 64 divisors (see below), whose sum is σ = 1730049269760. Its totient is φ = 650780832768.

The previous prime is 1130110233211. The next prime is 1130110233251. The reversal of 1130110233213 is 3123320110311.

It is a happy number.

It is not a de Polignac number, because 1130110233213 - 21 = 1130110233211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1130110233213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130110233211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135031093 + ... + 135039461.

It is an arithmetic number, because the mean of its divisors is an integer number (27032019840).

Almost surely, 21130110233213 is an apocalyptic number.

1130110233213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130110233213 is a deficient number, since it is larger than the sum of its proper divisors (599939036547).

1130110233213 is a wasteful number, since it uses less digits than its factorization.

1130110233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1130110233213 its reverse (3123320110311), we get a palindrome (4253430343524).

The spelling of 1130110233213 in words is "one trillion, one hundred thirty billion, one hundred ten million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 13 23 39 47 69 141 299 611 897 1081 1833 3203 3243 8369 9609 14053 25107 41639 42159 73669 108797 124917 150541 192487 221007 326391 393343 451623 577461 957697 1180029 1957033 2502331 2873091 3462443 5113459 5871099 7506993 9046889 10387329 15340377 26805907 27140667 45011759 80417721 117609557 135035277 348476791 352828671 616535861 1045430373 1259877629 1849607583 3779632887 8014966193 16378409177 24044898579 28977185467 49135227531 86931556401 376703411071 1130110233213