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320004240102 = 232372127102253
BaseRepresentation
bin1001010100000011011…
…11010011001011100110
31010120222122102201022200
410222001233103023212
520220332041140402
6403001413235330
732056001106141
oct4520157231346
91116878381280
10320004240102
11113793061a38
1252028932b46
132423a35c481
14116b9c0d058
1584cd9b621c
hex4a81bd32e6

320004240102 has 72 divisors (see below), whose sum is σ = 718205918976. Its totient is φ = 102966945984.

The previous prime is 320004240011. The next prime is 320004240107. The reversal of 320004240102 is 201042400023.

320004240102 is a `hidden beast` number, since 320 + 0 + 0 + 4 + 240 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320004240107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3078408 + ... + 3180660.

It is an arithmetic number, because the mean of its divisors is an integer number (9975082208).

Almost surely, 2320004240102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320004240102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359102959488).

320004240102 is an abundant number, since it is smaller than the sum of its proper divisors (398201678874).

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

320004240102 is a wasteful number, since it uses less digits than its factorization.

320004240102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102462 (or 102422 counting only the distinct ones).

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

Adding to 320004240102 its reverse (201042400023), we get a palindrome (521046640125).

The spelling of 320004240102 in words is "three hundred twenty billion, four million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 333 381 666 762 1143 1369 2286 2738 4107 4699 8214 9398 12321 14097 24642 28194 42291 84582 102253 173863 204506 306759 347726 521589 613518 920277 1043178 1564767 1840554 3129534 3783361 7566722 11350083 12986131 22700166 25972262 34050249 38958393 68100498 77916786 116875179 139984357 233750358 279968714 419953071 480486847 839906142 960973694 1259859213 1441460541 2519718426 2882921082 4324381623 8648763246 17778013339 35556026678 53334040017 106668080034 160002120051 320004240102