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11303002111200 = 2535223204764531
BaseRepresentation
bin1010010001111010111101…
…1011001111110011100000
31111000120000122120202102020
42210132233123033303200
52440142022020024300
640012305534221440
72244420633503532
oct244365733176340
944016018522366
1011303002111200
113668638028848
121326720654880
1363cb3a1c6107
142b10d52ad852
1514903c6c78a0
hexa47af6cfce0

11303002111200 has 144 divisors (see below), whose sum is σ = 38390892575616. Its totient is φ = 2883084582400.

The previous prime is 11303002111117. The next prime is 11303002111231. The reversal of 11303002111200 is 211120030311.

It is a happy number.

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 11303002111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102327066 + ... + 102437465.

It is an arithmetic number, because the mean of its divisors is an integer number (266603420664).

Almost surely, 211303002111200 is an apocalyptic number.

11303002111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303002111200 is an abundant number, since it is smaller than the sum of its proper divisors (27087890464416).

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

11303002111200 is a wasteful number, since it uses less digits than its factorization.

11303002111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204764577 (or 204764564 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11303002111200 its reverse (211120030311), we get a palindrome (11514122141511).

The spelling of 11303002111200 in words is "eleven trillion, three hundred three billion, two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 204764531 409529062 614293593 819058124 1023822655 1228587186 1638116248 2047645310 2457174372 3071467965 3276232496 4095290620 4709584213 4914348744 5119113275 6142935930 6552464992 8190581240 9419168426 9828697488 10238226550 12285871860 14128752639 15357339825 16381162480 18838336852 19657394976 20476453100 23547921065 24571743720 28257505278 30714679650 32762324960 37676673704 40952906200 47095842130 49143487440 56515010556 61429359300 70643763195 75353347408 81905812400 94191684260 98286974880 113030021112 117739605325 122858718600 141287526390 150706694816 163811624800 188383368520 226060042224 235479210650 245717437200 282575052780 353218815975 376766737040 452120084448 470958421300 491434874400 565150105560 706437631950 753533474080 941916842600 1130300211120 1412875263900 1883833685200 2260600422240 2825750527800 3767667370400 5651501055600 11303002111200