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132232111331013 = 324315116991331851
BaseRepresentation
bin11110000100001110110000…
…000001100001011011000101
3122100012021012012021110021100
4132010032300001201123011
5114312442331000043023
61145122332054210313
736565311663031431
oct3604166001413305
9570167165243240
10132232111331013
1139151361620501
12129b7576653999
1358a2585a57cb5
1424920d57339c1
1510449d9b78c43
hex7843b00616c5

132232111331013 has 48 divisors (see below), whose sum is σ = 196854118489600. Its totient is φ = 85483993140000.

The previous prime is 132232111330973. The next prime is 132232111331017. The reversal of 132232111331013 is 310133111232231.

132232111331013 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 321 + 1 + 1 + 331 + 0 + 1 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-132232111331013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232111331017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98618538 + ... + 99950388.

Almost surely, 2132232111331013 is an apocalyptic number.

It is an amenable number.

132232111331013 is a deficient number, since it is larger than the sum of its proper divisors (64622007158587).

132232111331013 is a wasteful number, since it uses less digits than its factorization.

132232111331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333750 (or 1333747 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 132232111331013 its reverse (310133111232231), we get a palindrome (442365222563244).

The spelling of 132232111331013 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, one hundred eleven million, three hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 43 129 151 387 453 1359 1699 5097 6493 15291 19479 58437 73057 219171 256549 657513 769647 1331851 2308941 3995553 11031607 11986659 33094821 57269593 99284463 171808779 201109501 515426337 603328503 1809985509 2262814849 6788444547 8647708543 20365333641 25943125629 77829376887 97301038507 291903115521 341685042199 875709346563 1025055126597 3075165379791 14692456814557 44077370443671 132232111331013