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102141302004 = 22327449902723
BaseRepresentation
bin101111100100000011…
…0001001010011110100
3100202122101212202101100
41133020012021103310
53133141133131004
6114531214330100
710244104512330
oct1371006112364
9322571782340
10102141302004
113a355113a85
1217966ab9930
13982a32b951
144d2d5bc7c0
1529cc20e739
hex17c81894f4

102141302004 has 72 divisors (see below), whose sum is σ = 295732382400. Its totient is φ = 29118200832.

The previous prime is 102141301987. The next prime is 102141302023. The reversal of 102141302004 is 400203141201.

102141302004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338214 + ... + 564509.

It is an arithmetic number, because the mean of its divisors is an integer number (4107394200).

Almost surely, 2102141302004 is an apocalyptic number.

102141302004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102141302004 is an abundant number, since it is smaller than the sum of its proper divisors (193591080396).

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

102141302004 is a wasteful number, since it uses less digits than its factorization.

102141302004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903189 (or 903184 counting only the distinct ones).

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

Adding to 102141302004 its reverse (400203141201), we get a palindrome (502344443205).

The spelling of 102141302004 in words is "one hundred two billion, one hundred forty-one million, three hundred two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2694 3143 4041 5388 6286 8082 9429 12572 16164 18858 28287 37716 56574 113148 902723 1805446 2708169 3610892 5416338 6319061 8124507 10832676 12638122 16249014 18957183 25276244 32498028 37914366 56871549 75828732 113743098 227486196 405322627 810645254 1215967881 1621290508 2431935762 2837258389 3647903643 4863871524 5674516778 7295807286 8511775167 11349033556 14591614572 17023550334 25535325501 34047100668 51070651002 102141302004