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132112023143304 = 233477331194113381
BaseRepresentation
bin11110000010011110111010…
…001101011100001110001000
3122022202210020001011102222110
4132002132322031130032020
5114304010410411041204
61144551231531422320
736553531043212131
oct3602367215341610
9568683201142873
10132112023143304
1139105437a02686
12129982412b49a0
135894158504869
14248a3827d2c88
15104180c0a3889
hex7827ba35c388

132112023143304 has 128 divisors (see below), whose sum is σ = 337820997588480. Its totient is φ = 43034755507200.

The previous prime is 132112023143299. The next prime is 132112023143341. The reversal of 132112023143304 is 403341320211231.

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 31 ways as a sum of consecutive naturals, for example, 9873098694 + ... + 9873112074.

It is an arithmetic number, because the mean of its divisors is an integer number (2639226543660).

Almost surely, 2132112023143304 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 132112023143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168910498794240).

132112023143304 is an abundant number, since it is smaller than the sum of its proper divisors (205708974445176).

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

132112023143304 is a wasteful number, since it uses less digits than its factorization.

132112023143304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26111 (or 26107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132112023143304 its reverse (403341320211231), we get a palindrome (535453343354535).

The spelling of 132112023143304 in words is "one hundred thirty-two trillion, one hundred twelve billion, twenty-three million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 733 1128 1466 2199 2932 4398 5864 8796 11941 13381 17592 23882 26762 34451 35823 40143 47764 53524 68902 71646 80286 95528 103353 107048 137804 143292 160572 206706 275608 286584 321144 413412 561227 628907 826824 1122454 1257814 1683681 1886721 2244908 2515628 3367362 3773442 4489816 5031256 6734724 7546884 8752753 9808273 13469448 15093768 17505506 19616546 26258259 29424819 35011012 39233092 52516518 58849638 70022024 78466184 105033036 117699276 159782521 210066072 235398552 319565042 411379391 460988831 479347563 639130084 822758782 921977662 958695126 1234138173 1278260168 1382966493 1645517564 1843955324 1917390252 2468276346 2765932986 3291035128 3687910648 3834780504 4936552692 5531865972 7509778487 9873105384 11063731944 15019556974 22529335461 30039113948 45058670922 60078227896 90117341844 117120587893 180234683688 234241175786 351361763679 468482351572 702723527358 936964703144 1405447054716 2810894109432 5504667630971 11009335261942 16514002892913 22018670523884 33028005785826 44037341047768 66056011571652 132112023143304