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12022100103 = 3132172715147
BaseRepresentation
bin10110011001001001…
…01011000010000111
31011000211200221222210
423030210223002013
5144110124200403
65304535154503
7603630110346
oct131444530207
934024627883
1012022100103
11510a186822
1223b6215a33
131197901b00
14820931b5d
154a5688b03
hex2cc92b087

12022100103 has 48 divisors (see below), whose sum is σ = 18449773056. Its totient is φ = 6935984640.

The previous prime is 12022100093. The next prime is 12022100113. The reversal of 12022100103 is 30100122021.

It is an interprime number because it is at equal distance from previous prime (12022100093) and next prime (12022100113).

It is not a de Polignac number, because 12022100103 - 26 = 12022100039 is a prime.

It is a super-3 number, since 3×120221001033 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022100113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333176 + ... + 2338322.

It is an arithmetic number, because the mean of its divisors is an integer number (384370272).

Almost surely, 212022100103 is an apocalyptic number.

12022100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12022100103 is a deficient number, since it is larger than the sum of its proper divisors (6427672953).

12022100103 is a wasteful number, since it uses less digits than its factorization.

12022100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12022100103 its reverse (30100122021), we get a palindrome (42122222124).

The spelling of 12022100103 in words is "twelve billion, twenty-two million, one hundred thousand, one hundred three".

Divisors: 1 3 13 17 39 51 169 221 271 507 663 813 2873 3523 4607 5147 8619 10569 13821 15441 45799 59891 66911 87499 137397 179673 200733 262497 778583 869843 1137487 1394837 2335749 2609529 3412461 4184511 14787331 18132881 23712229 44361993 54398643 71136687 235727453 308258977 707182359 924776931 4007366701 12022100103