Search a number
-
+
1001001111110 = 2571113467214133
BaseRepresentation
bin11101001000100000101…
…00001100111001000110
310112200202111012010202022
432210100110030321012
5112400022241023420
62043504211443142
7132214512025220
oct16442024147106
93480674163668
101001001111110
11356582038550
121420012b64b2
1373517804690
143663d3a3410
151b0895b6c25
hexe91050ce46

1001001111110 has 128 divisors (see below), whose sum is σ = 2424394312704. Its totient is φ = 287382274560.

The previous prime is 1001001111073. The next prime is 1001001111179. The reversal of 1001001111110 is 111111001001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4567604 + ... + 4781736.

It is an arithmetic number, because the mean of its divisors is an integer number (18940580568).

Almost surely, 21001001111110 is an apocalyptic number.

1001001111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001001111110 is an abundant number, since it is smaller than the sum of its proper divisors (1423393201594).

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

1001001111110 is a wasteful number, since it uses less digits than its factorization.

1001001111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214638.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001001111110 its reverse (111111001001), we get a palindrome (1112112112111).

It can be divided in two parts, 1001001 and 111110, that added together give a palindrome (1112111).

The spelling of 1001001111110 in words is "one trillion, one billion, one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 467 715 770 910 934 1001 1430 2002 2335 3269 4670 5005 5137 6071 6538 10010 10274 12142 16345 25685 30355 32690 35959 42497 51370 60710 66781 71918 84994 133562 179795 212485 214133 333905 359590 424970 428266 467467 667810 934934 1070665 1498931 2141330 2337335 2355463 2783729 2997862 4674670 4710926 5567458 7494655 11777315 13918645 14989310 16488241 19486103 23554630 27837290 30621019 32976482 38972206 61242038 82441205 97430515 100000111 153105095 164882410 194861030 200000222 214347133 306210190 428694266 500000555 700000777 1000001110 1071735665 1100001221 1300001443 1400001554 2143471330 2200002442 2600002886 3500003885 5500006105 6500007215 7000007770 7700008547 9100010101 11000012210 13000014430 14300015873 15400017094 18200020202 28600031746 38500042735 45500050505 71500079365 77000085470 91000101010 100100111111 143000158730 200200222222 500500555555 1001001111110