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230131212201030 = 235728324171602113
BaseRepresentation
bin110100010100110110011001…
…001001111010110001000110
31010011211022212212020020212210
4310110312121021322301012
5220130432210310413110
62133240452553324250
766321300654224130
oct6424663111726106
91104738785206783
10230131212201030
116736610a863068
1221988b79406686
139b5438477976a
1440b85a5464050
151b91393327520
hexd14d9927ac46

230131212201030 has 128 divisors (see below), whose sum is σ = 633709963680768. Its totient is φ = 52393830285312.

The previous prime is 230131212200993. The next prime is 230131212201043. The reversal of 230131212201030 is 30102212131032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230131212200988 and 230131212201006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142841254 + ... + 144443366.

It is an arithmetic number, because the mean of its divisors is an integer number (4950859091256).

Almost surely, 2230131212201030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230131212201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854981840384).

230131212201030 is an abundant number, since it is smaller than the sum of its proper divisors (403578751479738).

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

230131212201030 is a wasteful number, since it uses less digits than its factorization.

230131212201030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604830.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 230131212201030 its reverse (30102212131032), we get a palindrome (260233424332062).

The spelling of 230131212201030 in words is "two hundred thirty trillion, one hundred thirty-one billion, two hundred twelve million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 283 566 849 1415 1698 1981 2417 2830 3962 4245 4834 5943 7251 8490 9905 11886 12085 14502 16919 19810 24170 29715 33838 36255 50757 59430 72510 84595 101514 169190 253785 507570 684011 1368022 1602113 2052033 3204226 3420055 4104066 4788077 4806339 6840110 8010565 9576154 9612678 10260165 11214791 14364231 16021130 20520330 22429582 23940385 24031695 28728462 33644373 47880770 48063390 56073955 67288746 71821155 112147910 143642310 168221865 336443730 453397979 906795958 1360193937 2266989895 2720387874 3173785853 3872307121 4533979790 6347571706 6800969685 7744614242 9521357559 11616921363 13601939370 15868929265 19042715118 19361535605 23233842726 27106149847 31737858530 38723071210 47606787795 54212299694 58084606815 81318449541 95213575590 116169213630 135530749235 162636899082 271061498470 406592247705 813184495410 1095862915243 2191725830486 3287588745729 5479314576215 6575177491458 7671040406701 10958629152430 15342080813402 16437943728645 23013121220103 32875887457290 38355202033505 46026242440206 76710404067010 115065606100515 230131212201030