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2132122132030 = 2511413493673691
BaseRepresentation
bin11111000001101100011…
…000011101111000111110
321112211101020221120110111
4133001230120131320332
5234413041231211110
64311252224500234
7310016655045202
oct37015430357076
97484336846414
102132122132030
117522563a5140
122a527747a67a
1312609aca5717
14752a3b26b02
153a6dc2cae8a
hex1f06c61de3e

2132122132030 has 128 divisors (see below), whose sum is σ = 4314004531200. Its totient is φ = 751980672000.

The previous prime is 2132122131973. The next prime is 2132122132039. The reversal of 2132122132030 is 302312212312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2132122131992 and 2132122132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132122132039) 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 63 ways as a sum of consecutive naturals, for example, 577652485 + ... + 577656175.

It is an arithmetic number, because the mean of its divisors is an integer number (33703160400).

Almost surely, 22132122132030 is an apocalyptic number.

2132122132030 is an abundant number, since it is smaller than the sum of its proper divisors (2181882399170).

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

2132122132030 is a wasteful number, since it uses less digits than its factorization.

2132122132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2132122132030 its reverse (302312212312), we get a palindrome (2434434344342).

The spelling of 2132122132030 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 5 10 11 22 41 55 82 110 205 349 367 410 451 698 734 902 1745 1835 2255 3490 3670 3691 3839 4037 4510 7382 7678 8074 14309 15047 18455 19195 20185 28618 30094 36910 38390 40370 40601 71545 75235 81202 128083 143090 150470 151331 157399 165517 203005 256166 302662 314798 331034 406010 640415 756655 786995 827585 1280830 1288159 1354597 1408913 1513310 1573990 1655170 1664641 2576318 2709194 2817826 3329282 5251403 6440795 6772985 7044565 8323205 10502806 12881590 13545970 14089130 14169749 14900567 16646410 26257015 28339498 29801134 52514030 52814519 55538477 57765433 70848745 74502835 105629038 111076954 115530866 141697490 149005670 264072595 277692385 288827165 472754353 528145190 555384770 577654330 580959709 610923247 945508706 1161919418 1221846494 2363771765 2904798545 3054616235 4727543530 5200297883 5809597090 6109232470 10400595766 19382928473 26001489415 38765856946 52002978830 96914642365 193829284730 213212213203 426424426406 1066061066015 2132122132030