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103201122231 = 32137663712611
BaseRepresentation
bin110000000011101000…
…1000010011110110111
3100212101021010012102100
41200013101002132313
53142323441402411
6115224314113143
710312264031244
oct1400721023667
9325337105370
10103201122231
113a849385669
1218001a1b7b3
139968a81ccc
144dd025c5cb
152a402aa456
hex18074427b7

103201122231 has 24 divisors (see below), whose sum is σ = 150190910064. Its totient is φ = 68282847360.

The previous prime is 103201122221. The next prime is 103201122239. The reversal of 103201122231 is 132221102301.

103201122231 is a `hidden beast` number, since 1 + 0 + 320 + 112 + 2 + 231 = 666.

It is not a de Polignac number, because 103201122231 - 27 = 103201122103 is a prime.

It is a super-2 number, since 2×1032011222312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103201122239) by changing a digit.

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, 8177116 + ... + 8189726.

It is an arithmetic number, because the mean of its divisors is an integer number (6257954586).

Almost surely, 2103201122231 is an apocalyptic number.

103201122231 is a deficient number, since it is larger than the sum of its proper divisors (46989787833).

103201122231 is a wasteful number, since it uses less digits than its factorization.

103201122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19391 (or 19388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103201122231 its reverse (132221102301), we get a palindrome (235422224532).

The spelling of 103201122231 in words is "one hundred three billion, two hundred one million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 137 411 1233 6637 12611 19911 37833 59733 113499 909269 1727707 2727807 5183121 8183421 15549363 83699207 251097621 753292863 11466791359 34400374077 103201122231