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103210231122 = 232173761149441
BaseRepresentation
bin110000000011111001…
…1110010010101010010
3100212101220020222110200
41200013303302111102
53142333304343442
6115225241240030
710312434326625
oct1400763622522
9325356228420
10103210231122
113a853537279
1218004a93016
13996a92109b
144dd154ddbc
152a40ea934c
hex1807cf2552

103210231122 has 96 divisors (see below), whose sum is σ = 247163917104. Its totient is φ = 30987878400.

The previous prime is 103210231081. The next prime is 103210231127. The reversal of 103210231122 is 221132012301.

103210231122 is a `hidden beast` number, since 10 + 321 + 0 + 2 + 311 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79123501521 + 24086729601 = 281289^2 + 155199^2 .

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 = 103210231095 and 103210231104.

It is not an unprimeable number, because it can be changed into a prime (103210231127) 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 47 ways as a sum of consecutive naturals, for example, 615922 + ... + 765362.

Almost surely, 2103210231122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103210231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123581958552).

103210231122 is an abundant number, since it is smaller than the sum of its proper divisors (143953685982).

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

103210231122 is a wasteful number, since it uses less digits than its factorization.

103210231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149564 (or 149561 counting only the distinct ones).

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

Adding to 103210231122 its reverse (221132012301), we get a palindrome (324342243423).

The spelling of 103210231122 in words is "one hundred three billion, two hundred ten million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 61 74 102 111 122 153 183 222 306 333 366 549 629 666 1037 1098 1258 1887 2074 2257 3111 3774 4514 5661 6222 6771 9333 11322 13542 18666 20313 38369 40626 76738 115107 149441 230214 298882 345321 448323 690642 896646 1344969 2540497 2689938 5080994 5529317 7621491 9115901 11058634 15242982 16587951 18231802 22864473 27347703 33175902 45728946 49763853 54695406 82043109 93998389 99527706 154970317 164086218 187996778 281995167 309940634 337288337 464910951 563990334 674576674 845985501 929821902 1011865011 1394732853 1691971002 2023730022 2789465706 3035595033 5733901729 6071190066 11467803458 17201705187 34403410374 51605115561 103210231122