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132002014221 = 32711316144487
BaseRepresentation
bin111101011101111101…
…1101110010000001101
3110121201110002002211200
41322323323232100031
54130320003423341
6140350233140113
712352063415340
oct1727373562015
9417643062750
10132002014221
1150a88772040
12216bb25a639
13c5a88a592c
14656332a457
1536789c2db6
hex1ebbeee40d

132002014221 has 48 divisors (see below), whose sum is σ = 245386272768. Its totient is φ = 66360448800.

The previous prime is 132002014219. The next prime is 132002014223. The reversal of 132002014221 is 122410200231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132002014219) and next prime (132002014223).

It is not a de Polignac number, because 132002014221 - 21 = 132002014219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132002014194 and 132002014203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002014223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3050761 + ... + 3093726.

It is an arithmetic number, because the mean of its divisors is an integer number (5112214016).

Almost surely, 2132002014221 is an apocalyptic number.

132002014221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132002014221 is a deficient number, since it is larger than the sum of its proper divisors (113384258547).

132002014221 is a wasteful number, since it uses less digits than its factorization.

132002014221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144542 (or 6144539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132002014221 its reverse (122410200231), we get a palindrome (254412214452).

The spelling of 132002014221 in words is "one hundred thirty-two billion, two million, fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 21483 6144487 18433461 43011409 55300383 67589357 129034227 190479097 202768071 387102681 473125499 571437291 608304213 1333353679 1419376497 1714311873 2095270067 4000061037 4258129491 6285810201 12000183111 14666890469 18857430603 44000671407 132002014221