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2133323232152 = 237678331122027
BaseRepresentation
bin11111000010110011111…
…110010011001110011000
321112221110222000210002012
4133002303332103032120
5234423021221412102
64312011332325052
7310061511164630
oct37026376231630
97487428023065
102133323232152
11752812392472
122a5551773788
1312622ca93858
14753794616c0
153a75c982752
hex1f0b3f93398

2133323232152 has 128 divisors (see below), whose sum is σ = 4710848163840. Its totient is φ = 886883057280.

The previous prime is 2133323232151. The next prime is 2133323232193. The reversal of 2133323232152 is 2512323233312.

It is a super-2 number, since 2×21333232321522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133323232151) 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 31 ways as a sum of consecutive naturals, for example, 96839363 + ... + 96861389.

It is an arithmetic number, because the mean of its divisors is an integer number (36803501280).

Almost surely, 22133323232152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133323232152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355424081920).

2133323232152 is an abundant number, since it is smaller than the sum of its proper divisors (2577524931688).

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

2133323232152 is a wasteful number, since it uses less digits than its factorization.

2133323232152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501 (or 22497 counting only the distinct ones).

The product of its digits is 38880, while the sum is 32.

Adding to 2133323232152 its reverse (2512323233312), we get a palindrome (4645646465464).

The spelling of 2133323232152 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 67 83 134 166 268 311 332 469 536 581 622 664 938 1162 1244 1876 2177 2324 2488 3752 4354 4648 5561 8708 11122 17416 20837 22027 22244 25813 38927 41674 44054 44488 51626 77854 83348 88108 103252 145859 154189 155708 166696 176216 180691 206504 291718 308378 311416 361382 583436 616756 722764 1166872 1233512 1445528 1475809 1729471 1828241 2951618 3458942 3656482 5903236 6850397 6917884 7312964 10330663 11806472 12106297 12797687 13700794 13835768 14625928 20661326 24212594 25595374 27401588 41322652 47952779 48425188 51190748 54803176 82645304 95905558 96850376 102381496 122492147 191811116 244984294 383622232 458976599 489968588 568582951 857445029 917953198 979937176 1137165902 1714890058 1835906396 2274331804 3212836193 3429780116 3671812792 3980080657 4548663608 6425672386 6859560232 7960161314 12851344772 15920322628 25702689544 31840645256 38095057717 76190115434 152380230868 266665404019 304760461736 533330808038 1066661616076 2133323232152