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11230511400 = 23325217593547
BaseRepresentation
bin10100111010110010…
…00000000100101000
31001222200012002102200
422131121000010220
5141000002331100
65054220500200
7545205525513
oct123531000450
931880162380
1011230511400
114843370489
1222150aa660
13109c905624
14787755d7a
1545ae23e00
hex29d640128

11230511400 has 144 divisors (see below), whose sum is σ = 37747881600. Its totient is φ = 2992256640.

The previous prime is 11230511387. The next prime is 11230511417. The reversal of 11230511400 is 411503211.

11230511400 is a `hidden beast` number, since 112 + 3 + 0 + 511 + 40 + 0 = 666.

It is a super-2 number, since 2×112305114002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3164427 + ... + 3167973.

Almost surely, 211230511400 is an apocalyptic number.

11230511400 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 11230511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873940800).

11230511400 is an abundant number, since it is smaller than the sum of its proper divisors (26517370200).

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

11230511400 is a wasteful number, since it uses less digits than its factorization.

11230511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11230511400 in words is "eleven billion, two hundred thirty million, five hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1759 1800 3518 3547 5277 7036 7094 8795 10554 10641 14072 14188 15831 17590 17735 21108 21282 26385 28376 31662 31923 35180 35470 42216 42564 43975 52770 53205 63324 63846 70360 70940 79155 85128 87950 88675 105540 106410 126648 127692 131925 141880 158310 159615 175900 177350 211080 212820 255384 263850 266025 316620 319230 351800 354700 395775 425640 527700 532050 633240 638460 709400 791550 798075 1055400 1064100 1276920 1583100 1596150 2128200 3166200 3192300 6239173 6384600 12478346 18717519 24956692 31195865 37435038 49913384 56152557 62391730 74870076 93587595 112305114 124783460 149740152 155979325 187175190 224610228 249566920 280762785 311958650 374350380 449220456 467937975 561525570 623917300 748700760 935875950 1123051140 1247834600 1403813925 1871751900 2246102280 2807627850 3743503800 5615255700 11230511400