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2132113002032 = 241371389371141
BaseRepresentation
bin11111000001101011110…
…101101000111000110000
321112211100121202201110102
4133001223311220320300
5234413031412031112
64311251301051532
7310016514331136
oct37015365507060
97484317681412
102132113002032
11752251229692
122a52743b6ba8
13126099129b60
14752a282b756
153a6db5c5bc2
hex1f06bd68e30

2132113002032 has 80 divisors (see below), whose sum is σ = 4523003634240. Its totient is φ = 967695590400.

The previous prime is 2132113002013. The next prime is 2132113002043. The reversal of 2132113002032 is 2302003112312.

It is a super-2 number, since 2×21321130020322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132113001995 and 2132113002013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5559182 + ... + 5930322.

It is an arithmetic number, because the mean of its divisors is an integer number (56537545428).

Almost surely, 22132113002032 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 2132113002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261501817120).

2132113002032 is an abundant number, since it is smaller than the sum of its proper divisors (2390890632208).

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

2132113002032 is a wasteful number, since it uses less digits than its factorization.

2132113002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371622 (or 371616 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2132113002032 its reverse (2302003112312), we get a palindrome (4434116114344).

The spelling of 2132113002032 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 389 568 778 923 1136 1556 1846 3112 3692 5057 6224 7384 10114 14768 20228 27619 40456 55238 80912 110476 220952 359047 371141 441904 718094 742282 1436188 1484564 2872376 2969128 4824833 5744752 5938256 9649666 19299332 26351011 38598664 52702022 77197328 105404044 144373849 210808088 288747698 342563143 421616176 577495396 685126286 1154990792 1370252572 1876860037 2309981584 2740505144 3753720074 5481010288 7507440148 10250543279 15014880296 20501086558 30029760592 41002173116 82004346232 133257062627 164008692464 266514125254 533028250508 1066056501016 2132113002032