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102124561152 = 2831327100207
BaseRepresentation
bin101111100011100011…
…0010010001100000000
3100202121020101020020210
41133013012102030000
53133122341424102
6114525415434120
710243512306225
oct1370706221400
9322536336223
10102124561152
113a34671a369
1217961385940
139826a19b13
144d2b2a194c
1529caa0436c
hex17c7192300

102124561152 has 72 divisors (see below), whose sum is σ = 272007801856. Its totient is φ = 34015527936.

The previous prime is 102124561151. The next prime is 102124561163. The reversal of 102124561152 is 251165421201.

It is not an unprimeable number, because it can be changed into a prime (102124561151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969033 + ... + 1069239.

Almost surely, 2102124561152 is an apocalyptic number.

102124561152 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 102124561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136003900928).

102124561152 is an abundant number, since it is smaller than the sum of its proper divisors (169883240704).

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

102124561152 is a wasteful number, since it uses less digits than its factorization.

102124561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101553 (or 101539 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 102124561152 its reverse (251165421201), we get a palindrome (353289982353).

The spelling of 102124561152 in words is "one hundred two billion, one hundred twenty-four million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1327 2654 3981 5308 7962 10616 15924 21232 31848 42464 63696 84928 100207 127392 169856 200414 254784 300621 339712 400828 509568 601242 801656 1019136 1202484 1603312 2404968 3206624 4809936 6413248 9619872 12826496 19239744 25652992 38479488 76958976 132974689 265949378 398924067 531898756 797848134 1063797512 1595696268 2127595024 3191392536 4255190048 6382785072 8510380096 12765570144 17020760192 25531140288 34041520384 51062280576 102124561152