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1102014420 = 22351311312503
BaseRepresentation
bin100000110101111…
…0110011111010100
32211210122010120220
41001223312133110
54224103430140
6301203554340
736210653013
oct10153663724
92753563526
101102014420
11516070821
1226908b9b0
13147407850
14a6504a7a
1566b32bd0
hex41af67d4

1102014420 has 96 divisors (see below), whose sum is σ = 3352672512. Its totient is φ = 268843008.

The previous prime is 1102014317. The next prime is 1102014451. The reversal of 1102014420 is 244102011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1102014420.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81889 + ... + 94391.

It is an arithmetic number, because the mean of its divisors is an integer number (34923672).

Almost surely, 21102014420 is an apocalyptic number.

1102014420 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 1102014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676336256).

1102014420 is an abundant number, since it is smaller than the sum of its proper divisors (2250658092).

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

1102014420 is a wasteful number, since it uses less digits than its factorization.

1102014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1102014420 is about 33196.6025370067. The cubic root of 1102014420 is about 1032.9098662574.

Adding to 1102014420 its reverse (244102011), we get a palindrome (1346116431).

The spelling of 1102014420 in words is "one billion, one hundred two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 1130 1356 1469 1695 2260 2938 3390 4407 5876 6780 7345 8814 12503 14690 17628 22035 25006 29380 37509 44070 50012 62515 75018 88140 125030 150036 162539 187545 250060 325078 375090 487617 650156 750180 812695 975234 1412839 1625390 1950468 2438085 2825678 3250780 4238517 4876170 5651356 7064195 8477034 9752340 14128390 16954068 18366907 21192585 28256780 36733814 42385170 55100721 73467628 84770340 91834535 110201442 183669070 220402884 275503605 367338140 551007210 1102014420