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11132001330032 = 2411253613176983
BaseRepresentation
bin1010000111111101111011…
…1111000010001101110000
31110102012122022110000121202
42201333132333002031300
52424341314320030112
635401545410110332
72226155241032162
oct241773677021560
943365568400552
1011132001330032
1136020675a3a00
1212b955887b3a8
13629987b1a42b
142a6b12764932
151448800946c2
hexa1fdefc2370

11132001330032 has 120 divisors (see below), whose sum is σ = 24194100040992. Its totient is φ = 4956402147840.

The previous prime is 11132001330029. The next prime is 11132001330049. The reversal of 11132001330032 is 23003310023111.

It is a super-2 number, since 2×111320013300322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11132001329986 and 11132001330013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62810213 + ... + 62987195.

Almost surely, 211132001330032 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 11132001330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097050020496).

11132001330032 is an abundant number, since it is smaller than the sum of its proper divisors (13062098710960).

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

11132001330032 is a wasteful number, since it uses less digits than its factorization.

11132001330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177679 (or 177662 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11132001330032 its reverse (23003310023111), we get a palindrome (34135311353143).

The spelling of 11132001330032 in words is "eleven trillion, one hundred thirty-two billion, one million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 613 848 968 1166 1226 1936 2332 2452 4664 4904 6413 6743 9328 9808 12826 13486 25652 26972 32489 51304 53944 64978 74173 102608 107888 129956 148346 176983 259912 296692 353966 357379 519824 593384 707932 714758 1186768 1415864 1429516 1946813 2831728 2859032 3893626 3931169 5718064 7787252 7862338 9380099 15574504 15724676 18760198 21414943 31149008 31449352 37520396 42829886 62898704 75040792 85659772 103181089 108490579 150081584 171319544 206362178 216981158 342639088 412724356 433962316 825448712 867924632 1134991979 1193396369 1650897424 1735849264 2269983958 2386792738 4539967916 4773585476 5750000687 9079935832 9547170952 11500001374 13127360059 18159871664 19094341904 23000002748 26254720118 46000005496 52509440236 63250007557 92000010992 105018880472 126500015114 210037760944 253000030228 506000060456 695750083127 1012000120912 1391500166254 2783000332508 5566000665016 11132001330032