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1230201310312 = 2313733134491153
BaseRepresentation
bin10001111001101101101…
…101100100110001101000
311100121100211210122012001
4101321231231210301220
5130123423013412222
62341051403300344
7154610351414302
oct21715555446150
94317324718161
101230201310312
114347a8628587
1217a507b1a6b4
138c0135a5620
14437835b6972
152200132be27
hex11e6db64c68

1230201310312 has 128 divisors (see below), whose sum is σ = 2533955508000. Its totient is φ = 556491866112.

The previous prime is 1230201310301. The next prime is 1230201310313. The reversal of 1230201310312 is 2130131020321.

It can be written as a sum of positive squares in 16 ways, for example, as 9825963876 + 1220375346436 = 99126^2 + 1104706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1230201310312.

It is not an unprimeable number, because it can be changed into a prime (1230201310313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066956328 + ... + 1066957480.

Almost surely, 21230201310312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230201310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266977754000).

1230201310312 is an abundant number, since it is smaller than the sum of its proper divisors (1303754197688).

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

1230201310312 is a wasteful number, since it uses less digits than its factorization.

1230201310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1230201310312 its reverse (2130131020321), we get a palindrome (3360332330633).

The spelling of 1230201310312 in words is "one trillion, two hundred thirty billion, two hundred one million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 313 449 584 626 898 949 1153 1252 1796 1898 2306 2504 3592 3796 4069 4612 5837 7592 8138 9224 11674 14989 16276 22849 23348 29978 32552 32777 45698 46696 59956 65554 84169 91396 119912 131108 140537 168338 182792 262216 281074 297037 336676 360889 426101 517697 562148 594074 673352 721778 852202 1035394 1094197 1124296 1188148 1443556 1704404 1826981 2070788 2188394 2376296 2887112 3408808 3653962 4141576 4376788 4691557 6730061 7307924 8753576 9383114 10259201 13460122 14615848 18766228 20518402 26344897 26920244 37532456 37791881 41036804 52689794 53840488 75583762 82073608 105379588 133369613 151167524 162039161 210759176 266739226 302335048 324078322 342483661 491294453 533478452 648156644 684967322 982588906 1066956904 1296313288 1369934644 1965177812 2106509093 2739869288 3930355624 4213018186 8426036372 11828858753 16852072744 23657717506 47315435012 94630870024 153775163789 307550327578 615100655156 1230201310312