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71211012 = 22319537183
BaseRepresentation
bin1000011111010…
…01100000000100
311221222220010220
410033221200010
5121212223022
611022144340
71523166165
oct417514004
9157886126
1071211012
1137218984
121ba220b0
13119a3ac2
14965976c
1563b985c
hex43e9804

71211012 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 21490560.

The previous prime is 71210987. The next prime is 71211029. The reversal of 71211012 is 21011217.

It is a super-3 number, since 3×712110123 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71210982 and 71211000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857923 + ... + 858005.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 271211012 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 71211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

71211012 is an abundant number, since it is smaller than the sum of its proper divisors (111680508).

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

71211012 is a wasteful number, since it uses less digits than its factorization.

71211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 71211012 is about 8438.6617422433. The cubic root of 71211012 is about 414.4915862353.

Adding to 71211012 its reverse (21011217), we get a palindrome (92222229).

The spelling of 71211012 in words is "seventy-one million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 71 76 83 106 114 142 159 166 212 213 228 249 284 318 332 426 498 636 852 996 1007 1349 1577 2014 2698 3021 3154 3763 4028 4047 4399 4731 5396 5893 6042 6308 7526 8094 8798 9462 11289 11786 12084 13197 15052 16188 17596 17679 18924 22578 23572 26394 35358 45156 52788 70716 71497 83581 111967 142994 167162 214491 223934 250743 285988 312329 334324 335901 428982 447868 501486 624658 671802 857964 936987 1002972 1249316 1343604 1873974 3747948 5934251 11868502 17802753 23737004 35605506 71211012