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2115071000 = 23537535701
BaseRepresentation
bin111111000010001…
…0110110000011000
312110101212201221222
41332010112300120
513312424233000
6545513151212
7103261543520
oct17604266030
95411781858
102115071000
119959a2169
124b03bb508
13279266903
14160c90680
15c5a42a85
hex7e116c18

2115071000 has 128 divisors (see below), whose sum is σ = 5764037760. Its totient is φ = 711360000.

The previous prime is 2115070939. The next prime is 2115071003. The reversal of 2115071000 is 1705112.

It is a self number, because there is not a number n which added to its sum of digits gives 2115071000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115071003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368150 + ... + 373850.

It is an arithmetic number, because the mean of its divisors is an integer number (45031545).

Almost surely, 22115071000 is an apocalyptic number.

2115071000 is a gapful number since it is divisible by the number (20) 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 2115071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882018880).

2115071000 is an abundant number, since it is smaller than the sum of its proper divisors (3648966760).

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

2115071000 is a wasteful number, since it uses less digits than its factorization.

2115071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 2115071000 is about 45989.9010653426. The cubic root of 2115071000 is about 1283.6352955977.

Adding to 2115071000 its reverse (1705112), we get a palindrome (2116776112).

The spelling of 2115071000 in words is "two billion, one hundred fifteen million, seventy-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 125 140 175 200 212 250 265 280 350 371 424 500 530 700 742 875 1000 1060 1325 1400 1484 1750 1855 2120 2650 2968 3500 3710 5300 5701 6625 7000 7420 9275 10600 11402 13250 14840 18550 22804 26500 28505 37100 39907 45608 46375 53000 57010 74200 79814 92750 114020 142525 159628 185500 199535 228040 285050 302153 319256 371000 399070 570100 604306 712625 798140 997675 1140200 1208612 1425250 1510765 1596280 1995350 2115071 2417224 2850500 3021530 3990700 4230142 4988375 5701000 6043060 7553825 7981400 8460284 9976750 10575355 12086120 15107650 16920568 19953500 21150710 30215300 37769125 39907000 42301420 52876775 60430600 75538250 84602840 105753550 151076500 211507100 264383875 302153000 423014200 528767750 1057535500 2115071000