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11001102100 = 22527114910399
BaseRepresentation
bin10100011111011011…
…10111111100010100
31001101200111220000221
422033231313330110
5140012240231400
65015343444124
7536421552652
oct121755677424
931350456027
1011001102100
11473592091a
1221702b6644
131064222191
147650b9dd2
15445c0ac1a
hex28fb77f14

11001102100 has 72 divisors (see below), whose sum is σ = 24373440000. Its totient is φ = 4308931200.

The previous prime is 11001102059. The next prime is 11001102127. The reversal of 11001102100 is 120110011.

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, 1052701 + ... + 1063099.

It is an arithmetic number, because the mean of its divisors is an integer number (338520000).

Almost surely, 211001102100 is an apocalyptic number.

11001102100 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 11001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720000).

11001102100 is an abundant number, since it is smaller than the sum of its proper divisors (13372337900).

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

11001102100 is a wasteful number, since it uses less digits than its factorization.

11001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11001102100 its reverse (120110011), we get a palindrome (11121212111).

The spelling of 11001102100 in words is "eleven billion, one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 149 284 298 355 596 710 745 1420 1490 1775 2980 3550 3725 7100 7450 10399 10579 14900 20798 21158 41596 42316 51995 52895 103990 105790 207980 211580 259975 264475 519950 528950 738329 1039900 1057900 1476658 1549451 2953316 3098902 3691645 6197804 7383290 7747255 14766580 15494510 18458225 30989020 36916450 38736275 73832900 77472550 110011021 154945100 220022042 440044084 550055105 1100110210 2200220420 2750275525 5500551050 11001102100