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11312322030 = 2335192976039
BaseRepresentation
bin10101000100100010…
…00101010111101110
31002012101010111112000
422202101011113232
5141131423301110
65110302153130
7550221102462
oct124221052756
932171114460
1011312322030
114885568a79
1222385827a6
1310b384ab99
147945704a2
154631d41c0
hex2a24455ee

11312322030 has 128 divisors (see below), whose sum is σ = 32849280000. Its totient is φ = 2759266944.

The previous prime is 11312322029. The next prime is 11312322031. The reversal of 11312322030 is 3022321311.

11312322030 is a `hidden beast` number, since 1 + 1 + 312 + 322 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (11312322029) and next prime (11312322031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312321994 and 11312322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312322031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110751 + ... + 186789.

It is an arithmetic number, because the mean of its divisors is an integer number (256635000).

Almost surely, 211312322030 is an apocalyptic number.

11312322030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424640000).

11312322030 is an abundant number, since it is smaller than the sum of its proper divisors (21536957970).

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

11312322030 is a wasteful number, since it uses less digits than its factorization.

11312322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76103 (or 76097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11312322030 its reverse (3022321311), we get a palindrome (14334643341).

The spelling of 11312322030 in words is "eleven billion, three hundred twelve million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 14877 16530 24795 29754 49590 74385 76039 148770 152078 228117 380195 456234 684351 760390 1140585 1368702 1444741 2053053 2205131 2281170 2889482 3421755 4106106 4334223 4410262 6615393 6843510 7223705 8668446 10265265 11025655 13002669 13230786 14447410 19846179 20530530 21671115 22051310 26005338 33076965 39008007 39692358 41897489 43342230 59538537 65013345 66153930 78016014 83794978 99230895 119077074 125692467 130026690 195040035 198461790 209487445 251384934 297692685 377077401 390080070 418974890 595385370 628462335 754154802 1131232203 1256924670 1885387005 2262464406 3770774010 5656161015 11312322030