Search a number
-
+
1010013475140 = 2232559173549739
BaseRepresentation
bin11101011001010010111…
…11101001000101000100
310120120000120112200000200
432230221133221011010
5113022001422201030
62051554354010500
7132654034613055
oct16545137510504
93516016480020
101010013475140
1135a387303a8a
121438b7576a30
13743229c3567
1436c562b672c
151b4158d6d60
hexeb297e9144

1010013475140 has 144 divisors (see below), whose sum is σ = 3133649937600. Its totient is φ = 263240941824.

The previous prime is 1010013475033. The next prime is 1010013475193. The reversal of 1010013475140 is 415743100101.

1010013475140 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 134 + 7 + 514 + 0 = 666.

1010013475140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562391 + ... + 2112129.

It is an arithmetic number, because the mean of its divisors is an integer number (21761457900).

Almost surely, 21010013475140 is an apocalyptic number.

1010013475140 is a gapful number since it is divisible by the number (10) 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 1010013475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566824968800).

1010013475140 is an abundant number, since it is smaller than the sum of its proper divisors (2123636462460).

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

1010013475140 is a wasteful number, since it uses less digits than its factorization.

1010013475140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549986 (or 549981 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1010013475140 its reverse (415743100101), we get a palindrome (1425756575241).

The spelling of 1010013475140 in words is "one trillion, ten billion, thirteen million, four hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 173 177 180 236 295 346 354 519 531 590 692 708 865 885 1038 1062 1180 1557 1730 1770 2076 2124 2595 2655 3114 3460 3540 5190 5310 6228 7785 10207 10380 10620 15570 20414 30621 31140 40828 51035 61242 91863 102070 122484 153105 183726 204140 306210 367452 459315 549739 612420 918630 1099478 1649217 1837260 2198956 2748695 3298434 4947651 5497390 6596868 8246085 9895302 10994780 16492170 19790604 24738255 32434601 32984340 49476510 64869202 95104847 97303803 98953020 129738404 162173005 190209694 194607606 285314541 291911409 324346010 380419388 389215212 475524235 486519015 570629082 583822818 648692020 855943623 951048470 973038030 1141258164 1167645636 1426572705 1459557045 1711887246 1902096940 1946076060 2853145410 2919114090 3423774492 4279718115 5611185973 5706290820 5838228180 8559436230 11222371946 16833557919 17118872460 22444743892 28055929865 33667115838 50500673757 56111859730 67334231676 84167789595 101001347514 112223719460 168335579190 202002695028 252503368785 336671158380 505006737570 1010013475140