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101190828192 = 25319139713901
BaseRepresentation
bin101111000111101110…
…0011000000010100000
3100200012011101200102120
41132033130120002200
53124214323000232
6114253022344240
710211413563546
oct1361734300240
9320164350376
10101190828192
1139a07647a33
121774072b080
1397084422cc
144c7d283d96
152973a6292c
hex178f7180a0

101190828192 has 96 divisors (see below), whose sum is σ = 267708478464. Its totient is φ = 33466752000.

The previous prime is 101190828163. The next prime is 101190828209. The reversal of 101190828192 is 291828091101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7272442 + ... + 7286342.

It is an arithmetic number, because the mean of its divisors is an integer number (2788629984).

Almost surely, 2101190828192 is an apocalyptic number.

101190828192 is a gapful number since it is divisible by the number (12) 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 101190828192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133854239232).

101190828192 is an abundant number, since it is smaller than the sum of its proper divisors (166517650272).

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

101190828192 is a wasteful number, since it uses less digits than its factorization.

101190828192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14494 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 101190828192 in words is "one hundred one billion, one hundred ninety million, eight hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 397 573 764 794 1146 1191 1528 1588 2292 2382 3056 3176 4584 4764 6112 6352 9168 9528 12704 13901 18336 19056 27802 38112 41703 55604 75827 83406 111208 151654 166812 222416 227481 303308 333624 444832 454962 606616 667248 909924 1213232 1334496 1819848 2426464 2655091 3639696 5310182 5518697 7279392 7965273 10620364 11037394 15930546 16556091 21240728 22074788 31861092 33112182 42481456 44149576 63722184 66224364 84962912 88299152 127444368 132448728 176598304 254888736 264897456 529794912 1054071127 2108142254 3162213381 4216284508 6324426762 8432569016 12648853524 16865138032 25297707048 33730276064 50595414096 101190828192