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12100330301103 = 32111731123118131
BaseRepresentation
bin1011000000010101001111…
…1000111010011010101111
31120211210001211020110222100
42300011103320322122233
53041222434024113403
641422452012350143
72356135315342002
oct260052370723257
946753054213870
1012100330301103
1139457a3000020
121435160175353
1369a096779165
142db93285d539
1515eb561522a3
hexb0153e3a6af

12100330301103 has 48 divisors (see below), whose sum is σ = 20253702972672. Its totient is φ = 6879955488000.

The previous prime is 12100330301093. The next prime is 12100330301113. The reversal of 12100330301103 is 30110303300121.

It is a happy number.

12100330301103 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 330 + 301 + 10 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12100330301093) and next prime (12100330301113).

It is not a de Polignac number, because 12100330301103 - 214 = 12100330284719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100330301113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11035653 + ... + 12082478.

It is an arithmetic number, because the mean of its divisors is an integer number (421952145264).

Almost surely, 212100330301103 is an apocalyptic number.

12100330301103 is a deficient number, since it is larger than the sum of its proper divisors (8153372671569).

12100330301103 is a wasteful number, since it uses less digits than its factorization.

12100330301103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118476 (or 23118473 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12100330301103 its reverse (30110303300121), we get a palindrome (42210633601224).

The spelling of 12100330301103 in words is "twelve trillion, one hundred billion, three hundred thirty million, three hundred one thousand, one hundred three".

Divisors: 1 3 9 11 17 33 51 99 153 187 311 561 933 1683 2799 3421 5287 10263 15861 30789 47583 58157 174471 523413 23118131 69354393 208063179 254299441 393008227 762898323 1179024681 2288694969 3537074043 4323090497 7189738741 12969271491 21569216223 38907814473 64707648669 79087126151 122225558597 237261378453 366676675791 711784135359 1100030027373 1344481144567 4033443433701 12100330301103