Search a number
-
+
320023002003102 = 232139127906875301
BaseRepresentation
bin100100011000011110010100…
…1010110101011011010011110
31112222002220022020201220211200
41020300330221112223122132
5313421224102003044402
63052344312035100330
7124256620215353346
oct11060745126533236
91488086266656750
10320023002003102
1192a72aa1714982
122ba86727a416a6
1310975068cc9678
1459052a5943d26
1526ee7ecc9d21c
hex1230f295ab69e

320023002003102 has 24 divisors (see below), whose sum is σ = 698371539148920. Its totient is φ = 105906892748400.

The previous prime is 320023002003097. The next prime is 320023002003109. The reversal of 320023002003102 is 201300200320023.

It is a happy number.

320023002003102 is a `hidden beast` number, since 3 + 200 + 230 + 0 + 200 + 31 + 0 + 2 = 666.

It is a super-2 number, since 2×3200230020031022 (a number of 30 digits) contains 22 as substring.

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 (320023002003109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63953435149 + ... + 63953440152.

It is an arithmetic number, because the mean of its divisors is an integer number (29098814131205).

Almost surely, 2320023002003102 is an apocalyptic number.

320023002003102 is an abundant number, since it is smaller than the sum of its proper divisors (378348537145818).

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

320023002003102 is a wasteful number, since it uses less digits than its factorization.

320023002003102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127906875448 (or 127906875445 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320023002003102 its reverse (201300200320023), we get a palindrome (521323202323125).

The spelling of 320023002003102 in words is "three hundred twenty trillion, twenty-three billion, two million, three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 139 278 417 834 1251 2502 127906875301 255813750602 383720625903 767441251806 1151161877709 2302323755418 17779055666839 35558111333678 53337167000517 106674334001034 160011501001551 320023002003102