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11002103200 = 2552117117609
BaseRepresentation
bin10100011111100011…
…01100010110100000
31001101202101202021201
422033301230112200
5140013014300300
65015421130544
7536433222424
oct121761542640
931352352251
1011002103200
114736444a80
1221706b9a54
1310644b2a4a
1476529ab84
15445d5766a
hex28fc6c5a0

11002103200 has 144 divisors (see below), whose sum is σ = 29714973120. Its totient is φ = 3944192000.

The previous prime is 11002103183. The next prime is 11002103207. The reversal of 11002103200 is 230120011.

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

It is not an unprimeable number, because it can be changed into a prime (11002103207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615996 + ... + 633604.

It is an arithmetic number, because the mean of its divisors is an integer number (206353980).

Almost surely, 211002103200 is an apocalyptic number.

11002103200 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 11002103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857486560).

11002103200 is an abundant number, since it is smaller than the sum of its proper divisors (18712869920).

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

11002103200 is a wasteful number, since it uses less digits than its factorization.

11002103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17711 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11002103200 its reverse (230120011), we get a palindrome (11232223211).

The spelling of 11002103200 in words is "eleven billion, two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 71 80 88 100 110 142 160 176 200 220 275 284 352 355 400 440 550 568 710 781 800 880 1100 1136 1420 1562 1760 1775 2200 2272 2840 3124 3550 3905 4400 5680 6248 7100 7810 8800 11360 12496 14200 15620 17609 19525 24992 28400 31240 35218 39050 56800 62480 70436 78100 88045 124960 140872 156200 176090 193699 281744 312400 352180 387398 440225 563488 624800 704360 774796 880450 968495 1250239 1408720 1549592 1760900 1936990 2500478 2817440 3099184 3521800 3873980 4842475 5000956 6198368 6251195 7043600 7747960 9684950 10001912 12502390 13752629 14087200 15495920 19369900 20003824 25004780 27505258 30991840 31255975 38739800 40007648 50009560 55010516 62511950 68763145 77479600 100019120 110021032 125023900 137526290 154959200 200038240 220042064 250047800 275052580 343815725 440084128 500095600 550105160 687631450 1000191200 1100210320 1375262900 2200420640 2750525800 5501051600 11002103200