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11100133000 = 2353111759359
BaseRepresentation
bin10100101011001111…
…01001011010001000
31001122120212011220001
422111213221122020
5140213113224000
65033242212344
7542033400535
oct122547513210
931576764801
1011100133000
114786810240
1221994b40b4
13107b8b6848
147742d7d8c
1544e76d46a
hex2959e9688

11100133000 has 128 divisors (see below), whose sum is σ = 30002918400. Its totient is φ = 3798912000.

The previous prime is 11100132997. The next prime is 11100133049. The reversal of 11100133000 is 33100111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157321 + ... + 216679.

It is an arithmetic number, because the mean of its divisors is an integer number (234397800).

Almost surely, 211100133000 is an apocalyptic number.

11100133000 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 11100133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001459200).

11100133000 is an abundant number, since it is smaller than the sum of its proper divisors (18902785400).

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

11100133000 is a wasteful number, since it uses less digits than its factorization.

11100133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59408 (or 59394 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11100133000 its reverse (33100111), we get a palindrome (11133233111).

The spelling of 11100133000 in words is "eleven billion, one hundred million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 17000 18700 23375 37400 46750 59359 93500 118718 187000 237436 296795 474872 593590 652949 1009103 1187180 1305898 1483975 2018206 2374360 2611796 2967950 3264745 4036412 5045515 5223592 5935900 6529490 7419875 8072824 10091030 11100133 11871800 13058980 14839750 16323725 20182060 22200266 25227575 26117960 29679500 32647450 40364120 44400532 50455150 55500665 59359000 65294900 81618625 88801064 100910300 111001330 126137875 130589800 163237250 201820600 222002660 252275750 277503325 326474500 444005320 504551500 555006650 652949000 1009103000 1110013300 1387516625 2220026600 2775033250 5550066500 11100133000