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1100334004 = 2272111926861
BaseRepresentation
bin100000110010101…
…1100001110110100
32211200110202111021
41001211130032310
54223141142004
6301103550524
736160453600
oct10145341664
92750422437
101100334004
11515123250
122685bb444
13146c69a13
14a61c8500
15668eed54
hex4195c3b4

1100334004 has 72 divisors (see below), whose sum is σ = 2572305120. Its totient is φ = 406123200.

The previous prime is 1100333989. The next prime is 1100334013. The reversal of 1100334004 is 4004330011.

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, 27534 + ... + 54394.

It is an arithmetic number, because the mean of its divisors is an integer number (35726460).

Almost surely, 21100334004 is an apocalyptic number.

1100334004 is a gapful number since it is divisible by the number (14) 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 1100334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286152560).

1100334004 is an abundant number, since it is smaller than the sum of its proper divisors (1471971116).

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

1100334004 is a wasteful number, since it uses less digits than its factorization.

1100334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26909 (or 26900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1100334004 is about 33171.2828211391. The cubic root of 1100334004 is about 1032.3845853947.

Adding to 1100334004 its reverse (4004330011), we get a palindrome (5104664015).

The spelling of 1100334004 in words is "one billion, one hundred million, three hundred thirty-four thousand, four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 418 532 539 836 931 1078 1463 1862 2156 2926 3724 5852 10241 20482 26861 40964 53722 107444 188027 295471 376054 510359 590942 752108 1020718 1181884 1316189 2041436 2068297 2632378 3572513 4136594 5264756 5613949 7145026 8273188 11227898 14290052 14478079 22455796 25007591 28956158 39297643 50015182 57912316 78595286 100030364 157190572 275083501 550167002 1100334004