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816834011130 = 232531758338609
BaseRepresentation
bin10111110001011110001…
…10011101111111111010
32220002101120022002222100
423320233012131333322
5101340334001324010
61423125351404230
7113004623351454
oct13705706357772
92802346262870
10816834011130
11295465560495
12112384083676
135c0477633c7
142b76bd972d4
15163ab12c2c0
hexbe2f19dffa

816834011130 has 96 divisors (see below), whose sum is σ = 2192622981120. Its totient is φ = 210762616320.

The previous prime is 816834011113. The next prime is 816834011141. The reversal of 816834011130 is 31110438618.

816834011130 is a `hidden beast` number, since 81 + 68 + 3 + 401 + 113 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21137266 + ... + 21175874.

It is an arithmetic number, because the mean of its divisors is an integer number (22839822720).

Almost surely, 2816834011130 is an apocalyptic number.

816834011130 is an abundant number, since it is smaller than the sum of its proper divisors (1375788969990).

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

816834011130 is a wasteful number, since it uses less digits than its factorization.

816834011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46236 (or 46233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 816834011130 its reverse (31110438618), we get a palindrome (847944449748).

The spelling of 816834011130 in words is "eight hundred sixteen billion, eight hundred thirty-four million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 7583 15166 22749 37915 38609 45498 68247 75830 77218 113745 115827 136494 193045 227490 231654 235073 341235 347481 386090 470146 579135 682470 694962 705219 1158270 1175365 1196879 1410438 1737405 2115657 2350730 2393758 3474810 3526095 3590637 4231314 5984395 7052190 7181274 10578285 10771911 11968790 17953185 21156570 21543822 35906370 53859555 107719110 292772047 585544094 878316141 1463860235 1756632282 2634948423 2927720470 4391580705 5269896846 8783161410 9075933457 13174742115 18151866914 26349484230 27227800371 45379667285 54455600742 81683401113 90759334570 136139001855 163366802226 272278003710 408417005565 816834011130