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2113132132032 = 26359857217667
BaseRepresentation
bin11110110000000000011…
…111010111011011000000
321111000100210220121202020
4132300000133113123000
5234110143311211112
64254432015121440
7305445245521545
oct36600037273300
97430323817666
102113132132032
117451a0aaa069
122a1657813280
1312436292982c
14743c1a32bcc
1539e7a06948c
hex1ec007d76c0

2113132132032 has 112 divisors (see below), whose sum is σ = 5692418709120. Its totient is φ = 691627620352.

The previous prime is 2113132132031. The next prime is 2113132132037. The reversal of 2113132132032 is 2302312313112.

It is a super-2 number, since 2×21131321320322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2113132131993 and 2113132132011.

It is not an unprimeable number, because it can be changed into a prime (2113132132031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9599263 + ... + 9816929.

Almost surely, 22113132132032 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 2113132132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846209354560).

2113132132032 is an abundant number, since it is smaller than the sum of its proper divisors (3579286577088).

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

2113132132032 is a wasteful number, since it uses less digits than its factorization.

2113132132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218598 (or 218588 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2113132132032 its reverse (2302312313112), we get a palindrome (4415444445144).

The spelling of 2113132132032 in words is "two trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 857 944 1416 1714 1888 2571 2832 3428 3776 5142 5664 6856 10284 11328 13712 20568 27424 41136 50563 54848 82272 101126 151689 164544 202252 217667 303378 404504 435334 606756 653001 809008 870668 1213512 1306002 1618016 1741336 2427024 2612004 3236032 3482672 4854048 5224008 6965344 9708096 10448016 12842353 13930688 20896032 25684706 38527059 41792064 51369412 77054118 102738824 154108236 186540619 205477648 308216472 373081238 410955296 559621857 616432944 746162476 821910592 1119243714 1232865888 1492324952 2238487428 2465731776 2984649904 4476974856 5969299808 8953949712 11005896521 11938599616 17907899424 22011793042 33017689563 35815798848 44023586084 66035379126 88047172168 132070758252 176094344336 264141516504 352188688672 528283033008 704377377344 1056566066016 2113132132032