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2121021021332 = 22297310115491601
BaseRepresentation
bin11110110111010110101…
…101000101110010010100
321111202201121020201102102
4132313112231011302110
5234222322340140312
64302214505301232
7306144610133033
oct36672655056224
97452647221372
102121021021332
1174857a087394
122a3099794818
1312501c138b75
147492d65671a
153a28c917ec2
hex1edd6b45c94

2121021021332 has 96 divisors (see below), whose sum is σ = 3935912148000. Its totient is φ = 998645760000.

The previous prime is 2121021021319. The next prime is 2121021021367. The reversal of 2121021021332 is 2331201201212.

It can be written as a sum of positive squares in 16 ways, for example, as 111981252496 + 2009039768836 = 334636^2 + 1417406^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1324809332 + ... + 1324810932.

It is an arithmetic number, because the mean of its divisors is an integer number (40999084875).

Almost surely, 22121021021332 is an apocalyptic number.

It is an amenable number.

2121021021332 is a deficient number, since it is larger than the sum of its proper divisors (1814891126668).

2121021021332 is a wasteful number, since it uses less digits than its factorization.

2121021021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121021021332 its reverse (2331201201212), we get a palindrome (4452222222544).

The spelling of 2121021021332 in words is "two trillion, one hundred twenty-one billion, twenty-one million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 29 58 73 101 116 146 202 292 404 1549 1601 2117 2929 3098 3202 4234 5858 6196 6404 7373 8468 11716 14746 29492 44921 46429 89842 92858 113077 116873 156449 161701 179684 185716 213817 226154 233746 312898 323402 427634 452308 467492 625796 646804 855268 2479949 3279233 3389317 4537021 4689329 4959898 6558466 6778634 9074042 9378658 9919796 11420777 11804173 13116932 13557268 18148084 18757316 22841554 23608346 45683108 47216692 71918521 143837042 181036277 250474849 287674084 331202533 342321017 362072554 500949698 662405066 684642034 724145108 1001899396 1324810132 1369284068 5250052033 7263770621 10500104066 14527541242 18284663977 21000208132 29055082484 36569327954 73138655908 530255255333 1060510510666 2121021021332