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1322132221332 = 2232132825068849
BaseRepresentation
bin10011001111010101001…
…110001010110110010100
311200101122200000210021100
4103033111032022312110
5133130211322040312
62451213521550100
7164343445312116
oct23172516126624
94611580023240
101322132221332
1146a7931976aa
121942a34a5330
13978a4461cb0
1447dc4b073b6
15245d1e705dc
hex133d538ad94

1322132221332 has 36 divisors (see below), whose sum is σ = 3599137714900. Its totient is φ = 406809914112.

The previous prime is 1322132221253. The next prime is 1322132221339. The reversal of 1322132221332 is 2331222312231.

1322132221332 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 322 + 2 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 648163467396 + 673968753936 = 805086^2 + 820956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×13221322213323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1322132221296 and 1322132221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132221339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1412533957 + ... + 1412534892.

Almost surely, 21322132221332 is an apocalyptic number.

1322132221332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322132221332 is an abundant number, since it is smaller than the sum of its proper divisors (2277005493568).

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

1322132221332 is a wasteful number, since it uses less digits than its factorization.

1322132221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825068872 (or 2825068867 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1322132221332 its reverse (2331222312231), we get a palindrome (3653354533563).

The spelling of 1322132221332 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2825068849 5650137698 8475206547 11300275396 16950413094 25425619641 33900826188 36725895037 50851239282 73451790074 101702478564 110177685111 146903580148 220355370222 330533055333 440710740444 661066110666 1322132221332