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11020143400 = 2352711536827
BaseRepresentation
bin10100100001101101…
…00000101100101000
31001110000100021210021
422100312200230220
5140032124042100
65021303530224
7540042446650
oct122066405450
931400307707
1011020143400
114745646932
122176759974
13106815b116
14767835360
1544771ca1a
hex290da0b28

11020143400 has 96 divisors (see below), whose sum is σ = 29311784640. Its totient is φ = 3774504960.

The previous prime is 11020143391. The next prime is 11020143401. The reversal of 11020143400 is 434102011.

It is not an unprimeable number, because it can be changed into a prime (11020143401) 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, 1610787 + ... + 1617613.

It is an arithmetic number, because the mean of its divisors is an integer number (305331090).

Almost surely, 211020143400 is an apocalyptic number.

11020143400 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 11020143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655892320).

11020143400 is an abundant number, since it is smaller than the sum of its proper divisors (18291641240).

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

11020143400 is a wasteful number, since it uses less digits than its factorization.

11020143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11020143400 its reverse (434102011), we get a palindrome (11454245411).

The spelling of 11020143400 in words is "eleven billion, twenty million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1153 1400 2306 4612 5765 6827 8071 9224 11530 13654 16142 23060 27308 28825 32284 34135 40355 46120 47789 54616 57650 64568 68270 80710 95578 115300 136540 161420 170675 191156 201775 230600 238945 273080 322840 341350 382312 403550 477890 682700 807100 955780 1194725 1365400 1614200 1911560 2389450 4778900 7871531 9557800 15743062 31486124 39357655 55100717 62972248 78715310 110201434 157430620 196788275 220402868 275503585 314861240 393576550 440805736 551007170 787153100 1102014340 1377517925 1574306200 2204028680 2755035850 5510071700 11020143400