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102412371712 = 287166734283
BaseRepresentation
bin101111101100001000…
…0001100011100000000
3100210100021221112010011
41133120100030130000
53134220031343322
6115014140314304
710253605540120
oct1373020143400
9323307845104
10102412371712
113a484128732
1217a21842994
13987153a621
144d575c0c80
1529e5e06677
hex17d840c700

102412371712 has 72 divisors (see below), whose sum is σ = 233775190656. Its totient is φ = 43863407616.

The previous prime is 102412371707. The next prime is 102412371757. The reversal of 102412371712 is 217173214201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970123 + ... + 3004405.

It is an arithmetic number, because the mean of its divisors is an integer number (3246877648).

Almost surely, 2102412371712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102412371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116887595328).

102412371712 is an abundant number, since it is smaller than the sum of its proper divisors (131362818944).

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

102412371712 is an equidigital number, since it uses as much as digits as its factorization.

102412371712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35973 (or 35959 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

Adding to 102412371712 its reverse (217173214201), we get a palindrome (319585585913).

The spelling of 102412371712 in words is "one hundred two billion, four hundred twelve million, three hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1667 1792 3334 6668 11669 13336 23338 26672 34283 46676 53344 68566 93352 106688 137132 186704 213376 239981 274264 373408 426752 479962 548528 746816 959924 1097056 1493632 1919848 2194112 2987264 3839696 4388224 7679392 8776448 15358784 30717568 57149761 61435136 114299522 228599044 400048327 457198088 800096654 914396176 1600193308 1828792352 3200386616 3657584704 6400773232 7315169408 12801546464 14630338816 25603092928 51206185856 102412371712