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230111331330 = 235431072117901
BaseRepresentation
bin1101011001001110110…
…1000100010000000010
3210222221212001210202010
43112103231010100002
512232232000100310
6253413420233350
722424242020666
oct3262355042002
9728855053663
10230111331330
11896539360a1
123871b99b856
13189127945aa
14b1cd22a8a6
155ebbc40320
hex3593b44402

230111331330 has 128 divisors (see below), whose sum is σ = 573167840256. Its totient is φ = 59086944000.

The previous prime is 230111331311. The next prime is 230111331409. The reversal of 230111331330 is 33133111032.

It is a junction number, because it is equal to n+sod(n) for n = 230111331297 and 230111331306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29120380 + ... + 29128280.

It is an arithmetic number, because the mean of its divisors is an integer number (4477873752).

Almost surely, 2230111331330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230111331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286583920128).

230111331330 is an abundant number, since it is smaller than the sum of its proper divisors (343056508926).

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

230111331330 is a wasteful number, since it uses less digits than its factorization.

230111331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 230111331330 its reverse (33133111032), we get a palindrome (263244442362).

The spelling of 230111331330 in words is "two hundred thirty billion, one hundred eleven million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 107 129 211 214 215 258 321 422 430 535 633 642 645 1055 1070 1266 1290 1605 2110 3165 3210 4601 6330 7901 9073 9202 13803 15802 18146 22577 23005 23703 27219 27606 39505 45154 45365 46010 47406 54438 67731 69015 79010 90730 112885 118515 135462 136095 138030 225770 237030 272190 338655 339743 677310 679486 845407 970811 1019229 1667111 1690814 1698715 1941622 2038458 2536221 2912433 3334222 3397430 4227035 4854055 5001333 5072442 5096145 5824866 8335555 8454070 9708110 10002666 10192290 12681105 14562165 16671110 25006665 25362210 29124330 36352501 50013330 71685773 72705002 109057503 143371546 178380877 181762505 215057319 218115006 356761754 358428865 363525010 430114638 535142631 545287515 716857730 891904385 1070285262 1075286595 1090575030 1783808770 2150573190 2675713155 5351426310 7670377711 15340755422 23011133133 38351888555 46022266266 76703777110 115055665665 230111331330