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103203112122 = 23311215794783
BaseRepresentation
bin110000000011101100…
…0101000010010111010
3100212101101212022001000
41200013120220102322
53142324444041442
6115224424505430
710312316656545
oct1400730502272
9325341768030
10103203112122
113a84a514700
121800261b276
1399692ca966
144dd061985c
152a4054ed4c
hex18076284ba

103203112122 has 48 divisors (see below), whose sum is σ = 252084752640. Its totient is φ = 31273668360.

The previous prime is 103203112097. The next prime is 103203112241. The reversal of 103203112122 is 221211302301.

103203112122 is a `hidden beast` number, since 10 + 320 + 311 + 2 + 1 + 22 = 666.

It is a super-2 number, since 2×1032031121222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103203112095 and 103203112104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7890858 + ... + 7903925.

It is an arithmetic number, because the mean of its divisors is an integer number (5251765680).

Almost surely, 2103203112122 is an apocalyptic number.

103203112122 is an abundant number, since it is smaller than the sum of its proper divisors (148881640518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103203112122 is a wasteful number, since it uses less digits than its factorization.

103203112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15794816 (or 15794799 counting only the distinct ones).

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

Adding to 103203112122 its reverse (221211302301), we get a palindrome (324414414423).

The spelling of 103203112122 in words is "one hundred three billion, two hundred three million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 15794783 31589566 47384349 94768698 142153047 173742613 284306094 347485226 426459141 521227839 852918282 1042455678 1563683517 1911168743 3127367034 3822337486 4691050551 5733506229 9382101102 11467012458 17200518687 34401037374 51601556061 103203112122