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11200314132 = 2232747979749
BaseRepresentation
bin10100110111001011…
…10011101100010100
31001220120100220120100
422123211303230110
5140414240023012
65051221334100
7544361046030
oct123345635424
931816326510
1011200314132
114828315867
122206b67330
131096591917
147837351c0
1545845b8dc
hex29b973b14

11200314132 has 144 divisors (see below), whose sum is σ = 33388992000. Its totient is φ = 3099396096.

The previous prime is 11200314109. The next prime is 11200314137. The reversal of 11200314132 is 23141300211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200314137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143994 + ... + 1153742.

It is an arithmetic number, because the mean of its divisors is an integer number (231868000).

Almost surely, 211200314132 is an apocalyptic number.

11200314132 is a gapful number since it is divisible by the number (12) 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 11200314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694496000).

11200314132 is an abundant number, since it is smaller than the sum of its proper divisors (22188677868).

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

11200314132 is a wasteful number, since it uses less digits than its factorization.

11200314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11200314132 its reverse (23141300211), we get a palindrome (34341614343).

The spelling of 11200314132 in words is "eleven billion, two hundred million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 97 126 141 188 194 252 282 291 329 388 423 564 582 658 679 846 873 987 1164 1316 1358 1692 1746 1974 2037 2716 2961 3492 3948 4074 4559 5922 6111 8148 9118 9749 11844 12222 13677 18236 19498 24444 27354 29247 31913 38996 41031 54708 58494 63826 68243 82062 87741 95739 116988 127652 136486 164124 175482 191478 204729 272972 287217 350964 382956 409458 458203 574434 614187 818916 916406 945653 1148868 1228374 1374609 1832812 1891306 2456748 2749218 2836959 3207421 3782612 4123827 5498436 5673918 6414842 6619571 8247654 8510877 9622263 11347836 12829684 13239142 16495308 17021754 19244526 19858713 26478284 28866789 34043508 38489052 39717426 44445691 57733578 59576139 79434852 88891382 115467156 119152278 133337073 177782764 238304556 266674146 311119837 400011219 533348292 622239674 800022438 933359511 1244479348 1600044876 1866719022 2800078533 3733438044 5600157066 11200314132