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71040034100 = 22527122382981
BaseRepresentation
bin100001000101001010…
…0001110010100110100
320210100220100122110002
41002022110032110310
52130442222042400
652345122250432
75063303220020
oct1021224162464
9223326318402
1071040034100
112814527a092
12119271b6a18
136911a60a49
14361cbc5380
151caba9ded5
hex108a50e534

71040034100 has 72 divisors (see below), whose sum is σ = 176325464448. Its totient is φ = 24336374400.

The previous prime is 71040034073. The next prime is 71040034111. The reversal of 71040034100 is 143004017.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 814610 + ... + 897590.

It is an arithmetic number, because the mean of its divisors is an integer number (2448964784).

Almost surely, 271040034100 is an apocalyptic number.

71040034100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71040034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88162732224).

71040034100 is an abundant number, since it is smaller than the sum of its proper divisors (105285430348).

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

71040034100 is a wasteful number, since it uses less digits than its factorization.

71040034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84225 (or 84218 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 71040034100 its reverse (143004017), we get a palindrome (71183038117).

The spelling of 71040034100 in words is "seventy-one billion, forty million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1223 2446 4892 6115 8561 12230 17122 24460 30575 34244 42805 61150 82981 85610 122300 165962 171220 214025 331924 414905 428050 580867 829810 856100 1161734 1659620 2074525 2323468 2904335 4149050 5808670 8298100 11617340 14521675 29043350 58086700 101485763 202971526 405943052 507428815 710400341 1014857630 1420800682 2029715260 2537144075 2841601364 3552001705 5074288150 7104003410 10148576300 14208006820 17760008525 35520017050 71040034100