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102430722304 = 288322412
BaseRepresentation
bin101111101100101011…
…0001100100100000000
3100210101120110211101201
41133121112030210000
53134234231103204
6115020033510544
710254220526311
oct1373126144400
9323346424351
10102430722304
113a493521809
1217a27a12454
139875294071
144d59bda608
1529e782d9a4
hex17d958c900

102430722304 has 81 divisors (see below), whose sum is σ = 207816688569. Its totient is φ = 50388357120.

The previous prime is 102430722287. The next prime is 102430722311. The reversal of 102430722304 is 403227034201.

The square root of 102430722304 is 320048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77035112704 + 25395609600 = 277552^2 + 159360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 425023624 + ... + 425023864.

Almost surely, 2102430722304 is an apocalyptic number.

102430722304 is the 320048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102430722304

102430722304 is an abundant number, since it is smaller than the sum of its proper divisors (105385966265).

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

102430722304 is an frugal number, since it uses more digits than its factorization.

102430722304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 102430722304 its reverse (403227034201), we get a palindrome (505657756505).

The spelling of 102430722304 in words is "one hundred two billion, four hundred thirty million, seven hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 83 128 166 241 256 332 482 664 964 1328 1928 2656 3856 5312 6889 7712 10624 13778 15424 20003 21248 27556 30848 40006 55112 58081 61696 80012 110224 116162 160024 220448 232324 320048 440896 464648 640096 881792 929296 1280192 1660249 1763584 1858592 2560384 3320498 3717184 4820723 5120768 6640996 7434368 9641446 13281992 14868736 19282892 26563984 38565784 53127968 77131568 106255936 154263136 212511872 308526272 400120009 425023744 617052544 800240018 1234105088 1600480036 3200960072 6401920144 12803840288 25607680576 51215361152 102430722304