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1102405200 = 243521370667
BaseRepresentation
bin100000110110101…
…0101111001010000
32211211100222122020
41001231111321100
54224203431300
6301220211440
736214201221
oct10155257120
92754328566
101102405200
11516308386
12269239b80
13147513690
14a65a7248
1566bad8a0
hex41b55e50

1102405200 has 120 divisors (see below), whose sum is σ = 3803069088. Its totient is φ = 271357440.

The previous prime is 1102405177. The next prime is 1102405201. The reversal of 1102405200 is 25042011.

It is a tau number, because it is divible by the number of its divisors (120).

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 1102405200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102405201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19734 + ... + 50933.

Almost surely, 21102405200 is an apocalyptic number.

1102405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102405200 is an abundant number, since it is smaller than the sum of its proper divisors (2700663888).

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

1102405200 is a wasteful number, since it uses less digits than its factorization.

1102405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70701 (or 70690 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1102405200 is about 33202.4878585928. The cubic root of 1102405200 is about 1033.0319435517.

Adding to 1102405200 its reverse (25042011), we get a palindrome (1127447211).

It can be divided in two parts, 110240 and 5200, that added together give a triangular number (115440 = T480).

The spelling of 1102405200 in words is "one billion, one hundred two million, four hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 70667 141334 212001 282668 353335 424002 565336 706670 848004 918671 1060005 1130672 1413340 1696008 1766675 1837342 2120010 2756013 2826680 3392016 3533350 3674684 4240020 4593355 5300025 5512026 5653360 7066700 7349368 8480040 9186710 10600050 11024052 13780065 14133400 14698736 16960080 18373420 21200100 22048104 22966775 27560130 28266800 36746840 42400200 44096208 45933550 55120260 68900325 73493680 84800400 91867100 110240520 137800650 183734200 220481040 275601300 367468400 551202600 1102405200