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102131420004 = 22324173947873
BaseRepresentation
bin101111100011110000…
…0011100101101100100
3100202121201021200211100
41133013200130231210
53133131120420004
6114530222440100
710243624513665
oct1370740345544
9322551250740
10102131420004
113a34a584539
1217963733030
13982827ba03
144d2c16936c
1529cb40b739
hex17c781cb64

102131420004 has 72 divisors (see below), whose sum is σ = 268085307672. Its totient is φ = 32758456320.

The previous prime is 102131419909. The next prime is 102131420023. The reversal of 102131420004 is 400024131201.

It can be written as a sum of positive squares in 4 ways, for example, as 594872100 + 101536547904 = 24390^2 + 318648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366189 + ... + 581684.

It is an arithmetic number, because the mean of its divisors is an integer number (3723407051).

Almost surely, 2102131420004 is an apocalyptic number.

It is an amenable number.

102131420004 is an abundant number, since it is smaller than the sum of its proper divisors (165953887668).

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

102131420004 is a wasteful number, since it uses less digits than its factorization.

102131420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947997 (or 947992 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102131420004 its reverse (400024131201), we get a palindrome (502155551205).

The spelling of 102131420004 in words is "one hundred two billion, one hundred thirty-one million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 438 492 657 738 876 1314 1476 2628 2993 5986 8979 11972 17958 26937 35916 53874 107748 947873 1895746 2843619 3791492 5687238 8530857 11374476 17061714 34123428 38862793 69194729 77725586 116588379 138389458 155451172 207584187 233176758 276778916 349765137 415168374 466353516 622752561 699530274 830336748 1245505122 1399060548 2491010244 2836983889 5673967778 8510951667 11347935556 17021903334 25532855001 34043806668 51065710002 102131420004