Search a number
-
+
1001220011112 = 233457445120509
BaseRepresentation
bin11101001000111010101…
…11001111010001101000
310112201022202002102002210
432210131113033101220
5112400444310323422
62043542031325120
7132223110450516
oct16443527172150
93481282072083
101001220011112
1135668465a342
121420626807a0
1373550c784c9
14366604a54b6
151b09d90610c
hexe91d5cf468

1001220011112 has 64 divisors (see below), whose sum is σ = 2509213089600. Its totient is φ = 332918668800.

The previous prime is 1001220011081. The next prime is 1001220011119. The reversal of 1001220011112 is 2111100221001.

It is a super-2 number, since 2×10012200111122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001220011119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48808314 + ... + 48828822.

It is an arithmetic number, because the mean of its divisors is an integer number (39206454525).

Almost surely, 21001220011112 is an apocalyptic number.

1001220011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001220011112 is an abundant number, since it is smaller than the sum of its proper divisors (1507993078488).

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

1001220011112 is a wasteful number, since it uses less digits than its factorization.

1001220011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25426 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001220011112 its reverse (2111100221001), we get a palindrome (3112320232113).

The spelling of 1001220011112 in words is "one trillion, one billion, two hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 457 914 1371 1828 2742 3656 4451 5484 8902 10968 13353 17804 20509 26706 35608 41018 53412 61527 82036 106824 123054 164072 246108 492216 2034107 4068214 6102321 8136428 9372613 12204642 16272856 18745226 24409284 28117839 37490452 48818568 56235678 74980904 91285559 112471356 182571118 224942712 273856677 365142236 547713354 730284472 1095426708 2190853416 41717500463 83435000926 125152501389 166870001852 250305002778 333740003704 500610005556 1001220011112