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11331220011030 = 23251723322001137
BaseRepresentation
bin1010010011100100000101…
…0101111111100000010110
31111010020212012112120221100
42210321001111333200112
52441122314310323110
640033253545530530
72246440123626213
oct244710125774026
944106765476840
1011331220011030
1136795a8323617
1213300967a3a46
136426b62c766a
142b2610b80b0a
15149b3eb31bc0
hexa4e4157f816

11331220011030 has 96 divisors (see below), whose sum is σ = 32550451038144. Its totient is φ = 2720265596928.

The previous prime is 11331220010983. The next prime is 11331220011071. The reversal of 11331220011030 is 3011002213311.

11331220011030 is a `hidden beast` number, since 1 + 1 + 331 + 220 + 0 + 110 + 3 + 0 = 666.

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 = 11331220010994 and 11331220011012.

It is a congruent number.

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, 160965379 + ... + 161035758.

It is an arithmetic number, because the mean of its divisors is an integer number (339067198314).

Almost surely, 211331220011030 is an apocalyptic number.

11331220011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331220011030 is an abundant number, since it is smaller than the sum of its proper divisors (21219231027114).

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

11331220011030 is a wasteful number, since it uses less digits than its factorization.

11331220011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322001190 (or 322001187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331220011030 its reverse (3011002213311), we get a palindrome (14342222224341).

The spelling of 11331220011030 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 322001137 644002274 966003411 1610005685 1932006822 2898010233 3220011370 4830017055 5474019329 5796020466 7406026151 9660034110 10948038658 14490051165 14812052302 16422057987 22218078453 27370096645 28980102330 32844115974 37030130755 44436156906 49266173961 54740193290 66654235359 74060261510 82110289935 98532347922 111090392265 125902444567 133308470718 164220579870 222180784530 246330869805 251804889134 333271176795 377707333701 492661739610 629512222835 666542353590 755414667402 1133122001103 1259024445670 1888536668505 2266244002206 3777073337010 5665610005515 11331220011030