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11010034400 = 255231443953
BaseRepresentation
bin10100100000011111…
…11100101011100000
31001102022022200211212
422100033330223200
5140022032100100
65020303125252
7536560514441
oct122017745340
931368280755
1011010034400
11473a971892
1221732a3828
13106602ba71
147663632c8
154468c2635
hex2903fcae0

11010034400 has 72 divisors (see below), whose sum is σ = 27745349184. Its totient is φ = 4261939200.

The previous prime is 11010034391. The next prime is 11010034423. The reversal of 11010034400 is 443001011.

It is a happy number.

It is a congruent number.

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, 197177 + ... + 246776.

It is an arithmetic number, because the mean of its divisors is an integer number (385352072).

Almost surely, 211010034400 is an apocalyptic number.

11010034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010034400 is an abundant number, since it is smaller than the sum of its proper divisors (16735314784).

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

11010034400 is a wasteful number, since it uses less digits than its factorization.

11010034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444004 (or 443991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11010034400 its reverse (443001011), we get a palindrome (11453035411).

The spelling of 11010034400 in words is "eleven billion, ten million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 443953 887906 1775812 2219765 3551624 4439530 7103248 8879060 11098825 13762543 14206496 17758120 22197650 27525086 35516240 44395300 55050172 68812715 71032480 88790600 110100344 137625430 177581200 220200688 275250860 344063575 355162400 440401376 550501720 688127150 1101003440 1376254300 2202006880 2752508600 5505017200 11010034400