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102144341000 = 23531365911923
BaseRepresentation
bin101111100100001000…
…1101111010000001000
3100202122121121011002202
41133020101233100020
53133142422403000
6114531403415332
710244142400352
oct1371021572010
9322577534082
10102144341000
113a3568aa249
1217967b24548
13982ab53c80
144d2db700d2
1529cc60edd5
hex17c846f408

102144341000 has 128 divisors (see below), whose sum is σ = 257815958400. Its totient is φ = 37654444800.

The previous prime is 102144340981. The next prime is 102144341011. The reversal of 102144341000 is 143441201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8561039 + ... + 8572961.

It is an arithmetic number, because the mean of its divisors is an integer number (2014187175).

Almost surely, 2102144341000 is an apocalyptic number.

102144341000 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 102144341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128907979200).

102144341000 is an abundant number, since it is smaller than the sum of its proper divisors (155671617400).

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

102144341000 is a wasteful number, since it uses less digits than its factorization.

102144341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102144341000 its reverse (143441201), we get a palindrome (102287782201).

The spelling of 102144341000 in words is "one hundred two billion, one hundred forty-four million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 659 1000 1300 1318 1625 2600 2636 3250 3295 5272 6500 6590 8567 11923 13000 13180 16475 17134 23846 26360 32950 34268 42835 47692 59615 65900 68536 82375 85670 95384 119230 131800 154999 164750 171340 214175 238460 298075 309998 329500 342680 428350 476920 596150 619996 659000 774995 856700 1070875 1192300 1239992 1490375 1549990 1713400 2141750 2384600 2980750 3099980 3874975 4283500 5961500 6199960 7749950 7857257 8567000 11923000 15499900 15714514 19374875 30999800 31429028 38749750 39286285 62858056 77499500 78572570 102144341 154999000 157145140 196431425 204288682 314290280 392862850 408577364 510721705 785725700 817154728 982157125 1021443410 1571451400 1964314250 2042886820 2553608525 3928628500 4085773640 5107217050 7857257000 10214434100 12768042625 20428868200 25536085250 51072170500 102144341000