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102424144213000 = 2353488920949917
BaseRepresentation
bin10111010010011101111010…
…101110110111010000001000
3111102122122121201022211222201
4113102131322232313100020
5101411104121404304000
61001501000254125544
730400620530030011
oct2722357256672010
9442578551284881
10102424144213000
112a6a99212419a5
12b5a259a7b08b4
13451c72b1687cc
141b414d82c0008
15bc9448b7196a
hex5d277abb7408

102424144213000 has 64 divisors (see below), whose sum is σ = 239721531706800. Its totient is φ = 40961275763200.

The previous prime is 102424144212989. The next prime is 102424144213003. The reversal of 102424144213000 is 312441424201.

It can be written as a sum of positive squares in 8 ways, for example, as 16079795241444 + 86344348971556 = 4009962^2 + 9292166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102424144213000.

It is not an unprimeable number, because it can be changed into a prime (102424144213003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5585959 + ... + 15363958.

Almost surely, 2102424144213000 is an apocalyptic number.

102424144213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102424144213000 is an abundant number, since it is smaller than the sum of its proper divisors (137297387493800).

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

102424144213000 is a wasteful number, since it uses less digits than its factorization.

102424144213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20954827 (or 20954813 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102424144213000 its reverse (312441424201), we get a palindrome (102736585637201).

The spelling of 102424144213000 in words is "one hundred two trillion, four hundred twenty-four billion, one hundred forty-four million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4889 9778 19556 24445 39112 48890 97780 122225 195560 244450 488900 611125 977800 1222250 2444500 4889000 20949917 41899834 83799668 104749585 167599336 209499170 418998340 523747925 837996680 1047495850 2094991700 2618739625 4189983400 5237479250 10474958500 20949917000 102424144213 204848288426 409696576852 512120721065 819393153704 1024241442130 2048482884260 2560603605325 4096965768520 5121207210650 10242414421300 12803018026625 20484828842600 25606036053250 51212072106500 102424144213000