Search a number
-
+
103212102011103 = 32477312312715247
BaseRepresentation
bin10111011101111011110000…
…101011010100100011011111
3111112102222110211221100111200
4113131323300223110203133
5102012011341103323403
61003302552440250543
730511554050556501
oct2735736053244337
9445388424840450
10103212102011103
112a983008940118
12b6ab244170a53
134578b232c5817
141b6b6c719dd71
15bdebb4b58ca3
hex5ddef0ad48df

103212102011103 has 48 divisors (see below), whose sum is σ = 154467287310336. Its totient is φ = 66367563269760.

The previous prime is 103212102011101. The next prime is 103212102011113. The reversal of 103212102011103 is 301110201212301.

103212102011103 is a `hidden beast` number, since 1 + 0 + 321 + 210 + 20 + 1 + 110 + 3 = 666.

It is not a de Polignac number, because 103212102011103 - 21 = 103212102011101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212102011101) 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 47 ways as a sum of consecutive naturals, for example, 36654426 + ... + 39369672.

It is an arithmetic number, because the mean of its divisors is an integer number (3218068485632).

Almost surely, 2103212102011103 is an apocalyptic number.

103212102011103 is a deficient number, since it is larger than the sum of its proper divisors (51255185299233).

103212102011103 is a wasteful number, since it uses less digits than its factorization.

103212102011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716604 (or 2716601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103212102011103 its reverse (301110201212301), we get a palindrome (404322303223404).

The spelling of 103212102011103 in words is "one hundred three trillion, two hundred twelve billion, one hundred two million, eleven thousand, one hundred three".

Divisors: 1 3 9 47 73 141 219 423 657 1231 3431 3693 10293 11079 30879 57857 89863 173571 269589 520713 808767 2715247 4223561 8145741 12670683 24437223 38012049 127616609 198213031 382849827 594639093 1148549481 1783917279 3342469057 9316012457 10027407171 27948037371 30082221513 83844112113 157096045679 244000241161 471288137037 732000723483 1413864411111 2196002170449 11468011334567 34404034003701 103212102011103