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12002231103030 = 234572621807629
BaseRepresentation
bin1010111010100111110010…
…1110001010111000110110
31120111101212010021212210000
42232221330232022320312
53033121032130244110
641305425430212130
72346063322043040
oct256517456127066
946441763255700
1012002231103030
113908132618603
12141a142ab4046
13690a619c12ac
142d6ca8034a90
1515c313c331c0
hexaea7cb8ae36

12002231103030 has 160 divisors (see below), whose sum is σ = 36897164504640. Its totient is φ = 2742317026560.

The previous prime is 12002231102959. The next prime is 12002231103061. The reversal of 12002231103030 is 3030113220021.

12002231103030 is a `hidden beast` number, since 120 + 0 + 2 + 231 + 10 + 303 + 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 = 12002231102994 and 12002231103012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14457256 + ... + 15264884.

It is an arithmetic number, because the mean of its divisors is an integer number (230607278154).

Almost surely, 212002231103030 is an apocalyptic number.

12002231103030 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 12002231103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448582252320).

12002231103030 is an abundant number, since it is smaller than the sum of its proper divisors (24894933401610).

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

12002231103030 is a wasteful number, since it uses less digits than its factorization.

12002231103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810276 (or 810267 counting only the distinct ones).

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

Adding to 12002231103030 its reverse (3030113220021), we get a palindrome (15032344323051).

The spelling of 12002231103030 in words is "twelve trillion, two billion, two hundred thirty-one million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2621 2835 5242 5670 7863 13105 15726 18347 23589 26210 36694 39315 47178 55041 70767 78630 91735 110082 117945 141534 165123 183470 212301 235890 275205 330246 353835 424602 495369 550410 707670 807629 825615 990738 1061505 1486107 1615258 1651230 2123010 2422887 2476845 2972214 4038145 4845774 4953690 5653403 7268661 7430535 8076290 11306806 12114435 14537322 14861070 16960209 21805983 24228870 28267015 33920418 36343305 43611966 50880627 56534030 65417949 72686610 84801045 101761254 109029915 130835898 152641881 169602090 218059830 254403135 305283762 327089745 457925643 508806270 654179490 763209405 915851286 1526418810 2116795609 2289628215 4233591218 4579256430 6350386827 10583978045 12700773654 14817569263 19051160481 21167956090 29635138526 31751934135 38102320962 44452707789 57153481443 63503868270 74087846315 88905415578 95255802405 114306962886 133358123367 148175692630 171460444329 190511604810 222263538945 266716246734 285767407215 342920888658 400074370101 444527077890 571534814430 666790616835 800148740202 857302221645 1200223110303 1333581233670 1714604443290 2000371850505 2400446220606 4000743701010 6001115551515 12002231103030