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2132121221055 = 3257311217179411
BaseRepresentation
bin11111000001101100010…
…100111111011110111111
321112211101012020021211200
4133001230110333132333
5234413041013033210
64311252153150543
7310016644232250
oct37015424773677
97484335207750
102132121221055
11752255932771
122a52770bb453
1312609aa46b97
14752a396ab27
153a6dc19b0c0
hex1f06c53f7bf

2132121221055 has 96 divisors (see below), whose sum is σ = 4363483557888. Its totient is φ = 942462259200.

The previous prime is 2132121221039. The next prime is 2132121221099. The reversal of 2132121221055 is 5501221212312.

2132121221055 is a `hidden beast` number, since 21 + 321 + 212 + 2 + 105 + 5 = 666.

It is not a de Polignac number, because 2132121221055 - 24 = 2132121221039 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11794300 + ... + 11973710.

It is an arithmetic number, because the mean of its divisors is an integer number (45452953728).

Almost surely, 22132121221055 is an apocalyptic number.

2132121221055 is an abundant number, since it is smaller than the sum of its proper divisors (2231362336833).

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

2132121221055 is a wasteful number, since it uses less digits than its factorization.

2132121221055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180677 (or 180674 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2132121221055 its reverse (5501221212312), we get a palindrome (7633342433367).

The spelling of 2132121221055 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1217 1395 1953 3255 3651 6085 8519 9765 10953 18255 25557 37727 42595 54765 76671 113181 127785 179411 188635 264089 339543 383355 538233 565905 792267 897055 1255877 1320445 1614699 1697715 2376801 2691165 3767631 3961335 5561741 6279385 8073495 11302893 11884005 16685223 18838155 27808705 38932187 50055669 56514465 83426115 116796561 194660935 218343187 250278345 350389683 583982805 655029561 1091715935 1528402309 1751948415 1965088683 3275147805 4585206927 6768638797 7642011545 9825443415 13755620781 20305916391 22926034635 33843193985 47380471579 60917749173 68778103905 101529581955 142141414737 236902357895 304588745865 426424244211 710707073685 2132121221055