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102003402024 = 23321416713917
BaseRepresentation
bin101111011111111100…
…0000110010100101000
3100202021210101201011200
41132333320012110220
53132400332331044
6114505410524200
710240511416506
oct1367770062450
9322253351150
10102003402024
113a294296757
1217928896660
1398078a8424
144d19163676
1529c0070369
hex17bfe06528

102003402024 has 24 divisors (see below), whose sum is σ = 276259214010. Its totient is φ = 34001133984.

The previous prime is 102003401933. The next prime is 102003402031. The reversal of 102003402024 is 420204300201.

It can be written as a sum of positive squares in only one way, i.e., 61956188100 + 40047213924 = 248910^2 + 200118^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102003401988 and 102003402006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 708356887 + ... + 708357030.

Almost surely, 2102003402024 is an apocalyptic number.

It is an amenable number.

102003402024 is an abundant number, since it is smaller than the sum of its proper divisors (174255811986).

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

102003402024 is a wasteful number, since it uses less digits than its factorization.

102003402024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416713929 (or 1416713922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102003402024 its reverse (420204300201), we get a palindrome (522207702225).

The spelling of 102003402024 in words is "one hundred two billion, three million, four hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1416713917 2833427834 4250141751 5666855668 8500283502 11333711336 12750425253 17000567004 25500850506 34001134008 51001701012 102003402024