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11020313200 = 2452132973079
BaseRepresentation
bin10100100001101110…
…01010001001110000
31001110000122220201011
422100313022021300
5140032200010300
65021311320304
7540044055001
oct122067121160
931400586634
1011020313200
114745752466
122176820094
1310681ba4b0
1476787b1a8
15447752eba
hex290dca270

11020313200 has 120 divisors (see below), whose sum is σ = 29496549600. Its totient is φ = 3928673280.

The previous prime is 11020313159. The next prime is 11020313201. The reversal of 11020313200 is 231302011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020313201) 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, 114261 + ... + 187339.

It is an arithmetic number, because the mean of its divisors is an integer number (245804580).

Almost surely, 211020313200 is an apocalyptic number.

11020313200 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 11020313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748274800).

11020313200 is an abundant number, since it is smaller than the sum of its proper divisors (18476236400).

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

11020313200 is a wasteful number, since it uses less digits than its factorization.

11020313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73139 (or 73128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11020313200 its reverse (231302011), we get a palindrome (11251615211).

The spelling of 11020313200 in words is "eleven billion, twenty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 130 145 200 208 232 260 290 325 377 400 464 520 580 650 725 754 1040 1160 1300 1450 1508 1885 2320 2600 2900 3016 3770 5200 5800 6032 7540 9425 11600 15080 18850 30160 37700 73079 75400 146158 150800 292316 365395 584632 730790 950027 1169264 1461580 1826975 1900054 2119291 2923160 3653950 3800108 4238582 4750135 5846320 7307900 7600216 8477164 9500270 10596455 14615800 15200432 16954328 19000540 21192910 23750675 27550783 29231600 33908656 38001080 42385820 47501350 52982275 55101566 76002160 84771640 95002700 105964550 110203132 137753915 169543280 190005400 211929100 220406264 275507830 380010800 423858200 440812528 551015660 688769575 847716400 1102031320 1377539150 2204062640 2755078300 5510156600 11020313200