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11311002300 = 223521315119207
BaseRepresentation
bin10101000100011000…
…00011001010111100
31002012021122110012010
422202030003022330
5141131104033200
65110214011220
7550203635043
oct124214031274
932167573163
1011311002300
114884847494
122238046b10
1310b34a8290
1479430955a
15463023150
hex2a23032bc

11311002300 has 144 divisors (see below), whose sum is σ = 35479173632. Its totient is φ = 2765664000.

The previous prime is 11311002289. The next prime is 11311002331. The reversal of 11311002300 is 320011311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 579297 + ... + 598503.

Almost surely, 211311002300 is an apocalyptic number.

11311002300 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 11311002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739586816).

11311002300 is an abundant number, since it is smaller than the sum of its proper divisors (24168171332).

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

11311002300 is a wasteful number, since it uses less digits than its factorization.

11311002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19388 (or 19381 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11311002300 its reverse (320011311), we get a palindrome (11631013611).

The spelling of 11311002300 in words is "eleven billion, three hundred eleven million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 151 156 195 260 300 302 325 390 453 604 650 755 780 906 975 1300 1510 1812 1950 1963 2265 3020 3775 3900 3926 4530 5889 7550 7852 9060 9815 11325 11778 15100 19207 19630 22650 23556 29445 38414 39260 45300 49075 57621 58890 76828 96035 98150 115242 117780 147225 192070 196300 230484 249691 288105 294450 384140 480175 499382 576210 588900 749073 960350 998764 1152420 1248455 1440525 1498146 1920700 2496910 2881050 2900257 2996292 3745365 4993820 5762100 5800514 6242275 7490730 8700771 11601028 12484550 14501285 14981460 17401542 18726825 24969100 29002570 34803084 37453650 37703341 43503855 58005140 72506425 74907300 75406682 87007710 113110023 145012850 150813364 174015420 188516705 217519275 226220046 290025700 377033410 435038550 452440092 565550115 754066820 870077100 942583525 1131100230 1885167050 2262200460 2827750575 3770334100 5655501150 11311002300