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11211438700 = 22527114013631
BaseRepresentation
bin10100111000100000…
…01111101001101100
31001221100022002121101
422130100033221230
5140430112014300
65052300012444
7544554441130
oct123420175154
931840262541
1011211438700
114833623920
12220a831124
1310989882c7
14784dcd3c0
15459407b6a
hex29c40fa6c

11211438700 has 144 divisors (see below), whose sum is σ = 30416053248. Its totient is φ = 3484800000.

The previous prime is 11211438691. The next prime is 11211438713. The reversal of 11211438700 is 783411211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3085885 + ... + 3089515.

It is an arithmetic number, because the mean of its divisors is an integer number (211222592).

Almost surely, 211211438700 is an apocalyptic number.

11211438700 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 11211438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208026624).

11211438700 is an abundant number, since it is smaller than the sum of its proper divisors (19204614548).

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

11211438700 is a wasteful number, since it uses less digits than its factorization.

11211438700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 11211438700 its reverse (783411211), we get a palindrome (11994849911).

The spelling of 11211438700 in words is "eleven billion, two hundred eleven million, four hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 401 550 700 770 802 1100 1540 1604 1925 2005 2807 3631 3850 4010 4411 5614 7262 7700 8020 8822 10025 11228 14035 14524 17644 18155 20050 22055 25417 28070 30877 36310 39941 40100 44110 50834 56140 61754 70175 72620 79882 88220 90775 101668 110275 123508 127085 140350 154385 159764 181550 199705 220550 254170 279587 280700 308770 363100 399410 441100 508340 559174 617540 635425 771925 798820 998525 1118348 1270850 1397935 1456031 1543850 1997050 2541700 2795870 2912062 3087700 3994100 5591740 5824124 6989675 7280155 10192217 13979350 14560310 16016341 20384434 27958700 29120620 32032682 36400775 40768868 50961085 64065364 72801550 80081705 101922170 112114387 145603100 160163410 203844340 224228774 254805425 320326820 400408525 448457548 509610850 560571935 800817050 1019221700 1121143870 1601634100 2242287740 2802859675 5605719350 11211438700