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11030333100 = 22352238591861
BaseRepresentation
bin10100100010111010…
…11000011010101100
31001110201111222102120
422101131120122230
5140042231124400
65022310152540
7540225166353
oct122135303254
931421458376
1011030333100
114750376576
12217a052750
13106a2b8127
14768d2899a
15448581ca0
hex2917586ac

11030333100 has 144 divisors (see below), whose sum is σ = 33358698240. Its totient is φ = 2808748800.

The previous prime is 11030333087. The next prime is 11030333101. The reversal of 11030333100 is 133303011.

It is a super-2 number, since 2×110303331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11030333100.

It is not an unprimeable number, because it can be changed into a prime (11030333101) 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, 5926170 + ... + 5928030.

Almost surely, 211030333100 is an apocalyptic number.

11030333100 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 11030333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679349120).

11030333100 is an abundant number, since it is smaller than the sum of its proper divisors (22328365140).

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

11030333100 is a wasteful number, since it uses less digits than its factorization.

11030333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 11030333100 its reverse (133303011), we get a palindrome (11163636111).

The spelling of 11030333100 in words is "eleven billion, thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 859 1150 1380 1718 1725 1861 2300 2577 3436 3450 3722 4295 5154 5583 6900 7444 8590 9305 10308 11166 12885 17180 18610 19757 21475 22332 25770 27915 37220 39514 42803 42950 46525 51540 55830 59271 64425 79028 85606 85900 93050 98785 111660 118542 128409 128850 139575 171212 186100 197570 214015 237084 256818 257700 279150 296355 395140 428030 493925 513636 558300 592710 642045 856060 987850 1070075 1185420 1284090 1481775 1598599 1975700 2140150 2568180 2963550 3197198 3210225 4280300 4795797 5927100 6394396 6420450 7992995 9591594 12840900 15985990 19183188 23978985 31971980 36767777 39964975 47957970 73535554 79929950 95915940 110303331 119894925 147071108 159859900 183838885 220606662 239789850 367677770 441213324 479579700 551516655 735355540 919194425 1103033310 1838388850 2206066620 2757583275 3676777700 5515166550 11030333100