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11073066700 = 2252318634139
BaseRepresentation
bin10100101000000000…
…11001011011001100
31001120200221001220111
422110000121123030
5140134201113300
65030434125404
7541254341203
oct122400313314
931520831814
1011073066700
1147725039a3
122190420864
1310760cac97
1477089023a
1544c1c39ba
hex2940196cc

11073066700 has 72 divisors (see below), whose sum is σ = 24838410240. Its totient is φ = 4280347200.

The previous prime is 11073066689. The next prime is 11073066703. The reversal of 11073066700 is 766037011.

It is a super-2 number, since 2×110730667002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (11073066703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673231 + ... + 2677369.

It is an arithmetic number, because the mean of its divisors is an integer number (344977920).

Almost surely, 211073066700 is an apocalyptic number.

11073066700 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 11073066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419205120).

11073066700 is an abundant number, since it is smaller than the sum of its proper divisors (13765343540).

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

11073066700 is a wasteful number, since it uses less digits than its factorization.

11073066700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The spelling of 11073066700 in words is "eleven billion, seventy-three million, sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 863 1550 1726 3100 3452 4139 4315 8278 8630 16556 17260 20695 21575 26753 41390 43150 53506 82780 86300 103475 107012 128309 133765 206950 256618 267530 413900 513236 535060 641545 668825 1283090 1337650 2566180 2675300 3207725 3571957 6415450 7143914 12830900 14287828 17859785 35719570 71439140 89298925 110730667 178597850 221461334 357195700 442922668 553653335 1107306670 2214613340 2768266675 5536533350 11073066700