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1112010000010 = 257132358790511
BaseRepresentation
bin10000001011101000111…
…101100000011010001010
310221022021212222222111221
4100023220331200122022
5121204344030000020
62210503401312254
7143224434020560
oct20135075403212
93838255888457
101112010000010
11399667722838
1215b621a9568a
1380b29031660
143bb70569a30
151ddd50496aa
hex102e8f6068a

1112010000010 has 128 divisors (see below), whose sum is σ = 2575047573504. Its totient is φ = 336054216960.

The previous prime is 1112009999981. The next prime is 1112010000011. The reversal of 1112010000010 is 100000102111.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1112009999948 and 1112010000002.

It is not an unprimeable number, because it can be changed into a prime (1112010000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12240655 + ... + 12331165.

It is an arithmetic number, because the mean of its divisors is an integer number (20117559168).

Almost surely, 21112010000010 is an apocalyptic number.

1112010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1112010000010 is an abundant number, since it is smaller than the sum of its proper divisors (1463037573494).

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

1112010000010 is a wasteful number, since it uses less digits than its factorization.

1112010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91148.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1112010000010 its reverse (100000102111), we get a palindrome (1212010102121).

The spelling of 1112010000010 in words is "one trillion, one hundred twelve billion, ten million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 587 598 805 910 1174 1495 1610 2093 2935 2990 4109 4186 5870 7631 8218 10465 13501 15262 20545 20930 27002 38155 41090 53417 67505 76310 90511 94507 106834 135010 175513 181022 189014 267085 351026 452555 472535 534170 633577 877565 905110 945070 1176643 1228591 1267154 1755130 2081753 2353286 2457182 3167885 4163506 5883215 6142955 6335770 8236501 10408765 11766430 12285910 14572271 16473002 20817530 27062789 29144542 41182505 53129957 54125578 72861355 82365010 106259914 135313945 145722710 189439523 265649785 270627890 371909699 378879046 531299570 690689441 743819398 947197615 1221989011 1381378882 1859548495 1894395230 2443978022 3453447205 3719096990 4834826087 6109945055 6906894410 8553923077 9669652174 12219890110 15885857143 17107846154 24174130435 31771714286 42769615385 48348260870 79429285715 85539230770 111201000001 158858571430 222402000002 556005000005 1112010000010