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11130101200 = 2452195412707
BaseRepresentation
bin10100101110110011…
…11101110111010000
31001201200020201112101
422113121331313100
5140243301214300
65040232410144
7542546204431
oct122731756720
931650221471
1011130101200
1147a1719849
1221a7546954
131084b7a1ca
14778299488
154521dcb6a
hex29767ddd0

11130101200 has 120 divisors (see below), whose sum is σ = 28209885920. Its totient is φ = 4208371200.

The previous prime is 11130101183. The next prime is 11130101221. The reversal of 11130101200 is 210103111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4110247 + ... + 4112953.

Almost surely, 211130101200 is an apocalyptic number.

11130101200 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 11130101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104942960).

11130101200 is an abundant number, since it is smaller than the sum of its proper divisors (17079784720).

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

11130101200 is a wasteful number, since it uses less digits than its factorization.

11130101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11130101200 its reverse (210103111), we get a palindrome (11340204311).

The spelling of 11130101200 in words is "eleven billion, one hundred thirty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 541 760 950 1082 1520 1900 2164 2705 2707 3800 4328 5410 5414 7600 8656 10279 10820 10828 13525 13535 20558 21640 21656 27050 27070 41116 43280 43312 51395 51433 54100 54140 67675 82232 102790 102866 108200 108280 135350 164464 205580 205732 216400 216560 256975 257165 270700 411160 411464 513950 514330 541400 822320 822928 1027900 1028660 1082800 1285825 1464487 2055800 2057320 2571650 2928974 4111600 4114640 5143300 5857948 7322435 10286600 11715896 14644870 20573200 23431792 27825253 29289740 36612175 55650506 58579480 73224350 111301012 117158960 139126265 146448700 222602024 278252530 292897400 445204048 556505060 585794800 695631325 1113010120 1391262650 2226020240 2782525300 5565050600 11130101200