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2071271124 = 2232134499857
BaseRepresentation
bin111101101110101…
…0001011011010100
312100100110110211100
41323131101123110
513220221133444
6541310310100
7102220341216
oct17335213324
95310413740
102071271124
119731a671a
124997b8330
1327016c620
1415912c5b6
15c1c8ee69
hex7b7516d4

2071271124 has 72 divisors (see below), whose sum is σ = 5651591400. Its totient is φ = 635830272.

The previous prime is 2071271123. The next prime is 2071271173. The reversal of 2071271124 is 4211721702.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71571600 + 1999699524 = 8460^2 + 44718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071271123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205204 + ... + 215060.

It is an arithmetic number, because the mean of its divisors is an integer number (78494325).

Almost surely, 22071271124 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 2071271124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825795700).

2071271124 is an abundant number, since it is smaller than the sum of its proper divisors (3580320276).

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

2071271124 is a wasteful number, since it uses less digits than its factorization.

2071271124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2071271124 is about 45511.2197595274. The cubic root of 2071271124 is about 1274.7127122040.

Adding to 2071271124 its reverse (4211721702), we get a palindrome (6282992826).

The spelling of 2071271124 in words is "two billion, seventy-one million, two hundred seventy-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 449 468 898 1347 1796 2694 4041 5388 5837 8082 9857 11674 16164 17511 19714 23348 29571 35022 39428 52533 59142 70044 88713 105066 118284 128141 177426 210132 256282 354852 384423 512564 768846 1153269 1537692 2306538 4425793 4613076 8851586 13277379 17703172 26554758 39832137 53109516 57535309 79664274 115070618 159328548 172605927 230141236 345211854 517817781 690423708 1035635562 2071271124