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11133310300 = 22527197311467
BaseRepresentation
bin10100101111001100…
…01101010101011100
31001201220021202120221
422113212031111130
5140300111412200
65040425251124
7542615401420
oct122746152534
931656252527
1011133310300
1147a35108a2
1221a8633aa4
131085731a98
14778892b80
1545262391a
hex29798d55c

11133310300 has 144 divisors (see below), whose sum is σ = 29464503040. Its totient is φ = 3566384640.

The previous prime is 11133310297. The next prime is 11133310313. The reversal of 11133310300 is 301333111.

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, 965167 + ... + 976633.

Almost surely, 211133310300 is an apocalyptic number.

11133310300 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 11133310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732251520).

11133310300 is an abundant number, since it is smaller than the sum of its proper divisors (18331192740).

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

11133310300 is a wasteful number, since it uses less digits than its factorization.

11133310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11133310300 its reverse (301333111), we get a palindrome (11434643411).

The spelling of 11133310300 in words is "eleven billion, one hundred thirty-three million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 73 76 95 100 133 140 146 175 190 266 292 350 365 380 475 511 532 665 700 730 950 1022 1330 1387 1460 1825 1900 2044 2555 2660 2774 3325 3650 5110 5548 6650 6935 7300 9709 10220 11467 12775 13300 13870 19418 22934 25550 27740 34675 38836 45868 48545 51100 57335 69350 80269 97090 114670 138700 160538 194180 217873 229340 242725 286675 321076 401345 435746 485450 573350 802690 837091 871492 970900 1089365 1146700 1525111 1605380 1674182 2006725 2178730 3050222 3348364 4013450 4185455 4357460 5446825 5859637 6100444 7625555 8026900 8370910 10893650 11719274 15251110 15904729 16741820 20927275 21787300 23438548 29298185 30502220 31809458 38127775 41854550 58596370 63618916 76255550 79523645 83709100 111333103 117192740 146490925 152511100 159047290 222666206 292981850 318094580 397618225 445332412 556665515 585963700 795236450 1113331030 1590472900 2226662060 2783327575 5566655150 11133310300