Search a number
-
+
103323103122231 = 32179132148551101
BaseRepresentation
bin10111011111100011001000…
…110110111101001100110111
3111112211120222201010001011200
4113133203020312331030313
5102020321203344402411
61003425551151303543
730522563546466336
oct2737431066751467
9445746881101150
10103323103122231
112aa1609a0a28a3
12b70886221abb3
13458643302b575
141b72c172ddd1d
15be2a0eaa1e56
hex5df8c8dbd337

103323103122231 has 24 divisors (see below), whose sum is σ = 150191863014960. Its totient is φ = 68445398736000.

The previous prime is 103323103122181. The next prime is 103323103122241. The reversal of 103323103122231 is 132221301323301.

103323103122231 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 310 + 312 + 2 + 2 + 31 = 666.

It is not a de Polignac number, because 103323103122231 - 210 = 103323103121207 is a prime.

It is a super-3 number, since 3×1033231031222313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103323103122195 and 103323103122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323103122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22147420 + ... + 26403681.

It is an arithmetic number, because the mean of its divisors is an integer number (6257994292290).

Almost surely, 2103323103122231 is an apocalyptic number.

103323103122231 is a deficient number, since it is larger than the sum of its proper divisors (46868759892729).

103323103122231 is a wasteful number, since it uses less digits than its factorization.

103323103122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48552607 (or 48552604 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103323103122231 its reverse (132221301323301), we get a palindrome (235544404445532).

The spelling of 103323103122231 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred three million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 179 537 1321 1611 3963 11889 236459 709377 2128131 48551101 145653303 436959909 8690647079 26071941237 64136004421 78215823711 192408013263 577224039789 11480344791359 34441034374077 103323103122231