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11030213100 = 22352131467601
BaseRepresentation
bin10100100010111001…
…11011000111101100
31001110201021212211010
422101130323013230
5140042213304400
65022303425220
7540224156454
oct122134730754
931421255733
1011030213100
1147502a43a5
122179bb5210
13106a27561a
14768cd6d64
1544855b450
hex29173b1ec

11030213100 has 144 divisors (see below), whose sum is σ = 32280183936. Its totient is φ = 2907840000.

The previous prime is 11030213099. The next prime is 11030213123. The reversal of 11030213100 is 131203011.

It is a super-2 number, since 2×110302131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 18352800 + ... + 18353400.

It is an arithmetic number, because the mean of its divisors is an integer number (224167944).

Almost surely, 211030213100 is an apocalyptic number.

11030213100 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 11030213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140091968).

11030213100 is an abundant number, since it is smaller than the sum of its proper divisors (21249970836).

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

11030213100 is a wasteful number, since it uses less digits than its factorization.

11030213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11030213100 its reverse (131203011), we get a palindrome (11161416111).

The spelling of 11030213100 in words is "eleven billion, thirty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 467 524 601 655 786 934 1202 1310 1401 1572 1803 1868 1965 2335 2404 2620 2802 3005 3275 3606 3930 4670 5604 6010 6550 7005 7212 7860 9015 9340 9825 11675 12020 13100 14010 15025 18030 19650 23350 28020 30050 35025 36060 39300 45075 46700 60100 61177 70050 78731 90150 122354 140100 157462 180300 183531 236193 244708 280667 305885 314924 367062 393655 472386 561334 611770 734124 787310 842001 917655 944772 1122668 1180965 1223540 1403335 1529425 1574620 1684002 1835310 1968275 2361930 2806670 3058850 3368004 3670620 3936550 4210005 4588275 4723860 5613340 5904825 6117700 7016675 7873100 8420010 9176550 11809650 14033350 16840020 18353100 21050025 23619300 28066700 36767377 42100050 73534754 84200100 110302131 147069508 183836885 220604262 367673770 441208524 551510655 735347540 919184425 1103021310 1838368850 2206042620 2757553275 3676737700 5515106550 11030213100