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102424430000 = 2454101310111
BaseRepresentation
bin101111101100011111…
…0001100010110110000
3100210101010122010222102
41133120332030112300
53134231123230000
6115015250555532
710254113201354
oct1373076142660
9323333563872
10102424430000
113a48aa14262
1217a25898ba8
139873b9ccc9
144d5903d464
1529e6ed93d5
hex17d8f8c5b0

102424430000 has 100 divisors (see below), whose sum is σ = 248249134848. Its totient is φ = 40925280000.

The previous prime is 102424429963. The next prime is 102424430123. The reversal of 102424430000 is 34424201.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 10124945 + ... + 10135055.

Almost surely, 2102424430000 is an apocalyptic number.

102424430000 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 102424430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124124567424).

102424430000 is an abundant number, since it is smaller than the sum of its proper divisors (145824704848).

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

102424430000 is a wasteful number, since it uses less digits than its factorization.

102424430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102424430000 its reverse (34424201), we get a palindrome (102458854201).

The spelling of 102424430000 in words is "one hundred two billion, four hundred twenty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1013 1250 2000 2026 2500 4052 5000 5065 8104 10000 10111 10130 16208 20222 20260 25325 40444 40520 50555 50650 80888 81040 101110 101300 126625 161776 202220 202600 252775 253250 404440 405200 505550 506500 633125 808880 1011100 1013000 1263875 1266250 2022200 2026000 2527750 2532500 4044400 5055500 5065000 6319375 10111000 10130000 10242443 12638750 20222000 20484886 25277500 40969772 50555000 51212215 81939544 101110000 102424430 163879088 204848860 256061075 409697720 512122150 819395440 1024244300 1280305375 2048488600 2560610750 4096977200 5121221500 6401526875 10242443000 12803053750 20484886000 25606107500 51212215000 102424430000