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71160506201130 = 23573276711743181
BaseRepresentation
bin10000001011100001011000…
…101100011011010000101010
3100022221212201000210000200120
4100023201120230123100222
533311343204041414010
6411202404002544110
720663114452420233
oct2013413054332052
9308855630700616
1071160506201130
1120746001666615
127b93471668036
13309253a085948
141380288b1008a
158360ac389e70
hex40b858b1b42a

71160506201130 has 64 divisors (see below), whose sum is σ = 173187320790528. Its totient is φ = 18709422266880.

The previous prime is 71160506201119. The next prime is 71160506201173. The reversal of 71160506201130 is 3110260506117.

It is a super-2 number, since 2×711605062011302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71160506201091 and 71160506201100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 188140 + ... + 11931320.

It is an arithmetic number, because the mean of its divisors is an integer number (2706051887352).

Almost surely, 271160506201130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71160506201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86593660395264).

71160506201130 is an abundant number, since it is smaller than the sum of its proper divisors (102026814589398).

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

71160506201130 is a wasteful number, since it uses less digits than its factorization.

71160506201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746031.

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 71160506201130 its reverse (3110260506117), we get a palindrome (74270766707247).

The spelling of 71160506201130 in words is "seventy-one trillion, one hundred sixty billion, five hundred six million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 2767 5534 8301 13835 16602 27670 41505 83010 201991 403982 605973 1009955 1211946 2019910 3029865 6059730 11743181 23486362 35229543 58715905 70459086 117431810 176147715 352295430 857252213 1714504426 2571756639 4286261065 5143513278 8572522130 12858783195 25717566390 32493381827 64986763654 97480145481 162466909135 194960290962 324933818270 487400727405 974801454810 2372016873371 4744033746742 7116050620113 11860084366855 14232101240226 23720168733710 35580253100565 71160506201130