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1030100011110 = 2325163425916487
BaseRepresentation
bin11101111110101101011…
…11101100100001100110
310122110212102220102022100
432333112233230201212
5113334121100323420
62105115454112530
7134264560424322
oct16772657544146
93573772812270
101030100011110
11367954668835
121477824ab746
13761a42a94c1
1437bddc86982
151bbde048190
hexefd6bec866

1030100011110 has 96 divisors (see below), whose sum is σ = 2695487258880. Its totient is φ = 272927444544.

The previous prime is 1030100011093. The next prime is 1030100011147. The reversal of 1030100011110 is 111100010301.

It is a super-2 number, since 2×10301000111102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1030100011092 and 1030100011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62471287 + ... + 62487773.

It is an arithmetic number, because the mean of its divisors is an integer number (28077992280).

Almost surely, 21030100011110 is an apocalyptic number.

1030100011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030100011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347743629440).

1030100011110 is an abundant number, since it is smaller than the sum of its proper divisors (1665387247770).

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

1030100011110 is a wasteful number, since it uses less digits than its factorization.

1030100011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1030100011110 its reverse (111100010301), we get a palindrome (1141200021411).

The spelling of 1030100011110 in words is "one trillion, thirty billion, one hundred million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4259 4890 7335 8518 12777 14670 16487 21295 25554 32974 38331 42590 49461 63885 76662 82435 98922 127770 148383 164870 191655 247305 296766 383310 494610 694217 741915 1388434 1483830 2082651 2687381 3471085 4165302 5374762 6247953 6942170 8062143 10413255 12495906 13436905 16124286 20826510 24186429 26873810 31239765 40310715 48372858 62479530 70218133 80621430 120932145 140436266 210654399 241864290 351090665 421308798 631963197 702181330 1053271995 1263926394 2106543990 3159815985 6319631970 11445555679 22891111358 34336667037 57227778395 68673334074 103010001111 114455556790 171683335185 206020002222 343366670370 515050005555 1030100011110