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11132054100 = 22335215312693
BaseRepresentation
bin10100101111000010…
…11010101001010100
31001201210220221102000
422113201122221110
5140244301212400
65040342315300
7542601620136
oct122741325124
931653827360
1011132054100
1147a2833012
1221a8128b30
1310853b207b
14778647056
15452476600
hex29785aa54

11132054100 has 144 divisors (see below), whose sum is σ = 35824165440. Its totient is φ = 2965507200.

The previous prime is 11132054093. The next prime is 11132054137. The reversal of 11132054100 is 145023111.

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

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, 4132354 + ... + 4135046.

Almost surely, 211132054100 is an apocalyptic number.

11132054100 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 11132054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912082720).

11132054100 is an abundant number, since it is smaller than the sum of its proper divisors (24692111340).

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

11132054100 is a wasteful number, since it uses less digits than its factorization.

11132054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4234 counting only the distinct ones).

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

Adding to 11132054100 its reverse (145023111), we get a palindrome (11277077211).

The spelling of 11132054100 in words is "eleven billion, one hundred thirty-two million, fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 1531 2693 2700 3062 4593 5386 6124 7655 8079 9186 10772 13465 13779 15310 16158 18372 22965 24237 26930 27558 30620 32316 38275 40395 41337 45930 48474 53860 55116 67325 68895 72711 76550 80790 82674 91860 96948 114825 121185 134650 137790 145422 153100 161580 165348 201975 206685 229650 242370 269300 275580 290844 344475 363555 403950 413370 459300 484740 605925 688950 727110 807900 826740 1033425 1211850 1377900 1454220 1817775 2066850 2423700 3635550 4122983 4133700 7271100 8245966 12368949 16491932 20614915 24737898 37106847 41229830 49475796 61844745 74213694 82459660 103074575 111320541 123689490 148427388 185534235 206149150 222641082 247378980 309223725 371068470 412298300 445282164 556602705 618447450 742136940 927671175 1113205410 1236894900 1855342350 2226410820 2783013525 3710684700 5566027050 11132054100