Search a number
-
+
110330402232330 = 23357169334480729
BaseRepresentation
bin11001000101100001001100…
…011011101101100000001010
3112110122111001102122020021000
4121011201030123231200022
5103430123130432413310
61030353030450155430
732145052135251120
oct3105411433554012
9473574042566230
10110330402232330
1132177951830635
121045a930582b76
13497415c908847
141d3603cab3910
15cb4e30ea04c0
hex64584c6ed80a

110330402232330 has 128 divisors (see below), whose sum is σ = 336443654131200. Its totient is φ = 25203481247232.

The previous prime is 110330402232307. The next prime is 110330402232373. The reversal of 110330402232330 is 33232204033011.

110330402232330 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 3 + 0 + 402 + 23 + 233 + 0 = 666.

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 = 110330402232294 and 110330402232303.

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, 14040595 + ... + 20440134.

It is an arithmetic number, because the mean of its divisors is an integer number (2628466047900).

Almost surely, 2110330402232330 is an apocalyptic number.

110330402232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110330402232330 is an abundant number, since it is smaller than the sum of its proper divisors (226113251898870).

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

110330402232330 is a wasteful number, since it uses less digits than its factorization.

110330402232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34482445 (or 34482439 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 110330402232330 its reverse (33232204033011), we get a palindrome (143562606265341).

The spelling of 110330402232330 in words is "one hundred ten trillion, three hundred thirty billion, four hundred two million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1693 1890 3386 5079 8465 10158 11851 15237 16930 23702 25395 30474 35553 45711 50790 59255 71106 76185 91422 106659 118510 152370 177765 213318 228555 319977 355530 457110 533295 639954 1066590 1599885 3199770 34480729 68961458 103442187 172403645 206884374 241365103 310326561 344807290 482730206 517210935 620653122 724095309 930979683 1034421870 1206825515 1448190618 1551632805 1861959366 2172285927 2413651030 3103265610 3620476545 4344571854 4654898415 6516857781 7240953090 9309796830 10861429635 13033715562 21722859270 32584288905 58375874197 65168577810 116751748394 175127622591 291879370985 350255245182 408631119379 525382867773 583758741970 817262238758 875638112955 1050765735546 1225893358137 1576148603319 1751276225910 2043155596895 2451786716274 2626914338865 3152297206638 3677680074411 4086311193790 5253828677730 6129466790685 7355360148822 7880743016595 11033040223233 12258933581370 15761486033190 18388400372055 22066080446466 36776800744110 55165201116165 110330402232330