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132021000033221 = 13219376718019209
BaseRepresentation
bin11110000001001010001000…
…110011110101001111000101
3122022110002021111010100200002
4132001022020303311033011
5114301013002002030341
61144441335442331045
736544126311433265
oct3601121063651705
9568402244110602
10132021000033221
113907a878813872
1212982679959a85
1358886b0743500
142485bc9a8d7a5
15103e280ecd29b
hex781288cf53c5

132021000033221 has 96 divisors (see below), whose sum is σ = 156959646364800. Its totient is φ = 110581214515200.

The previous prime is 132021000033217. The next prime is 132021000033257. The reversal of 132021000033221 is 122330000120231.

It is not a de Polignac number, because 132021000033221 - 22 = 132021000033217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132021000033193 and 132021000033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021000033121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14336079665 + ... + 14336088873.

It is an arithmetic number, because the mean of its divisors is an integer number (1634996316300).

Almost surely, 2132021000033221 is an apocalyptic number.

It is an amenable number.

132021000033221 is a deficient number, since it is larger than the sum of its proper divisors (24938646331579).

132021000033221 is a wasteful number, since it uses less digits than its factorization.

132021000033221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11159 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132021000033221 its reverse (122330000120231), we get a palindrome (254351000153452).

The spelling of 132021000033221 in words is "one hundred thirty-two trillion, twenty-one billion, thirty-three thousand, two hundred twenty-one".

Divisors: 1 13 19 37 67 169 247 481 703 871 1273 1801 2479 3211 6253 9139 9209 11323 16549 23413 32227 34219 47101 66637 118807 119717 120667 174971 215137 304369 340733 418951 444847 612313 617003 866281 1266103 1556321 1568671 2274623 2292673 4429529 4464679 5783011 6473927 7960069 8021039 11261653 11723057 16459339 16585409 20392723 22829111 29570099 29804749 57583877 58040827 84161051 84828901 104273507 152399741 213971407 215610317 296778443 315122771 387461737 433753109 613660133 754530751 1094093663 1102775713 1111222403 1981196633 2802934121 3858119759 4096596023 5638790417 7977581729 11659542527 14336084269 14445891239 21113225657 41115228911 53255748299 73304275421 103708562477 151574052851 187796586107 274471933541 534497975843 781189349309 1970462687063 3568135136033 6948473685959 10155461541017 132021000033221