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132122104301044 = 221121337567525061
BaseRepresentation
bin11110000010101000010011…
…000110000000010111110100
3122022210202020121122022121001
4132002220103012000113310
5114304142032200113134
61145000020133533044
736554335624511434
oct3602502306002764
9568722217568531
10132122104301044
1139109740509700
121299a1954a4184
1358950a3c69360
14248aa5b6402c4
151041bec143414
hex782a131805f4

132122104301044 has 72 divisors (see below), whose sum is σ = 281090623008104. Its totient is φ = 53937581702400.

The previous prime is 132122104301017. The next prime is 132122104301111. The reversal of 132122104301044 is 440103401221231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24330740064400 + 107791364236644 = 4932620^2 + 10382262^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 283529727 + ... + 283995334.

Almost surely, 2132122104301044 is an apocalyptic number.

It is an amenable number.

132122104301044 is an abundant number, since it is smaller than the sum of its proper divisors (148968518707060).

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

132122104301044 is a wasteful number, since it uses less digits than its factorization.

132122104301044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567525137 (or 567525124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132122104301044 its reverse (440103401221231), we get a palindrome (572225505522275).

The spelling of 132122104301044 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred four million, three hundred one thousand, forty-four".

Divisors: 1 2 4 11 13 22 26 37 44 52 74 121 143 148 242 286 407 481 484 572 814 962 1573 1628 1924 3146 4477 5291 6292 8954 10582 17908 21164 58201 116402 232804 567525061 1135050122 2270100244 6242775671 7377825793 12485551342 14755651586 20998427257 24971102684 29511303172 41996854514 68670532381 81156083723 83993709028 137341064762 162312167446 230982699827 272979554341 274682129524 324624334892 461965399654 545959108682 892716920953 923930799308 1091918217364 1785433841906 2540809698097 3002775097751 3570867683812 5081619396194 6005550195502 10163238792388 12011100391004 33030526075261 66061052150522 132122104301044