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1030103111322 = 2361752277951
BaseRepresentation
bin11101111110101101110…
…11100001011010011010
310122110212122201221000000
432333112323201122122
5113334122344030242
62105120044353430
7134264625655665
oct16772673413232
93573778657000
101030103111322
11367956395a9a
12147783545876
13761a4b2364c
1437c004526dc
151bbde45ba4c
hexefd6ee169a

1030103111322 has 112 divisors (see below), whose sum is σ = 2453724911232. Its totient is φ = 323067139200.

The previous prime is 1030103111293. The next prime is 1030103111357. The reversal of 1030103111322 is 2231113010301.

1030103111322 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 0 + 311 + 1 + 322 = 666.

It is a super-2 number, since 2×10301031113222 (a number of 25 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 = 1030103111295 and 1030103111304.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 129552447 + ... + 129560397.

It is an arithmetic number, because the mean of its divisors is an integer number (21908258136).

Almost surely, 21030103111322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030103111322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226862455616).

1030103111322 is an abundant number, since it is smaller than the sum of its proper divisors (1423621799910).

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

1030103111322 is an equidigital number, since it uses as much as digits as its factorization.

1030103111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1030103111322 its reverse (2231113010301), we get a palindrome (3261216121623).

The spelling of 1030103111322 in words is "one trillion, thirty billion, one hundred three million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 5227 7951 8262 10454 12393 15681 15902 23853 24786 31362 47043 47706 71559 88859 94086 135167 141129 143118 177718 214677 266577 270334 282258 405501 423387 429354 533154 644031 799731 811002 846774 1216503 1270161 1288062 1599462 1932093 2399193 2433006 2540322 3649509 3810483 3864186 4798386 5796279 7197579 7299018 7620966 10948527 11592558 14395158 21592737 21897054 32845581 41559877 43185474 64778211 65691162 83119754 98536743 124679631 129556422 197073486 249359262 374038893 706517909 748077786 1122116679 1413035818 2119553727 2244233358 3366350037 4239107454 6358661181 6732700074 10099050111 12717322362 19075983543 20198100222 30297150333 38151967086 57227950629 60594300666 114455901258 171683851887 343367703774 515051555661 1030103111322