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11006036900 = 2252195792651
BaseRepresentation
bin10100100000000001…
…01100101110100100
31001102000210121022022
422100000230232210
5140020021140100
65020041322312
7536511525065
oct122000545644
931360717268
1011006036900
114738691471
122171a96398
13106525c391
14765a0256c
15446382e85
hex29002cba4

11006036900 has 36 divisors (see below), whose sum is σ = 25140109680. Its totient is φ = 4170708000.

The previous prime is 11006036879. The next prime is 11006036927. The reversal of 11006036900 is 963060011.

It is a super-2 number, since 2×110060369002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006036900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2894426 + ... + 2898225.

It is an arithmetic number, because the mean of its divisors is an integer number (698336380).

Almost surely, 211006036900 is an apocalyptic number.

11006036900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006036900 is an abundant number, since it is smaller than the sum of its proper divisors (14134072780).

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

11006036900 is a wasteful number, since it uses less digits than its factorization.

11006036900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792684 (or 5792677 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 11006036900 its reverse (963060011), we get a palindrome (11969096911).

The spelling of 11006036900 in words is "eleven billion, six million, thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5792651 11585302 23170604 28963255 57926510 110060369 115853020 144816275 220120738 289632550 440241476 550301845 579265100 1100603690 2201207380 2751509225 5503018450 11006036900