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102052204000 = 255360142451
BaseRepresentation
bin101111100001011001…
…0010000110111100000
3100202102012020002220021
41133002302100313200
53133000331012000
6114514312523224
710241643264355
oct1370262206740
9322365202807
10102052204000
113a30989936a
12179410b0514
139814a34436
144d2182862c
1529c44b011a
hex17c2c90de0

102052204000 has 96 divisors (see below), whose sum is σ = 251165390112. Its totient is φ = 40752000000.

The previous prime is 102052203997. The next prime is 102052204081. The reversal of 102052204000 is 402250201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382775 + ... + 2425225.

It is an arithmetic number, because the mean of its divisors is an integer number (2616306147).

Almost surely, 2102052204000 is an apocalyptic number.

102052204000 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 102052204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582695056).

102052204000 is an abundant number, since it is smaller than the sum of its proper divisors (149113186112).

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

102052204000 is an equidigital number, since it uses as much as digits as its factorization.

102052204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43077 (or 43059 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 102052204000 its reverse (402250201), we get a palindrome (102454454201).

The spelling of 102052204000 in words is "one hundred two billion, fifty-two million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 601 800 1000 1202 2000 2404 3005 4000 4808 6010 9616 12020 15025 19232 24040 30050 42451 48080 60100 75125 84902 96160 120200 150250 169804 212255 240400 300500 339608 424510 480800 601000 679216 849020 1061275 1202000 1358432 1698040 2122550 2404000 3396080 4245100 5306375 6792160 8490200 10612750 16980400 21225500 25513051 33960800 42451000 51026102 84902000 102052204 127565255 169804000 204104408 255130510 408208816 510261020 637826275 816417632 1020522040 1275652550 2041044080 2551305100 3189131375 4082088160 5102610200 6378262750 10205220400 12756525500 20410440800 25513051000 51026102000 102052204000