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1034011100320 = 255111992952293
BaseRepresentation
bin11110000101111111101…
…11010100010010100000
310122211222000022100002021
433002333313110102200
5113420123320202240
62111003530231224
7134463521222632
oct17027767242240
93584860270067
101034011100320
11369581344a70
12148494285514
137667866a983
1438091494a52
151bd6c5a954a
hexf0bfdd44a0

1034011100320 has 96 divisors (see below), whose sum is σ = 2678321116800. Its totient is φ = 374114442240.

The previous prime is 1034011100251. The next prime is 1034011100323. The reversal of 1034011100320 is 230011104301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1034011100294 and 1034011100303.

It is not an unprimeable number, because it can be changed into a prime (1034011100323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125907 + ... + 1826386.

It is an arithmetic number, because the mean of its divisors is an integer number (27899178300).

Almost surely, 21034011100320 is an apocalyptic number.

1034011100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034011100320 is an abundant number, since it is smaller than the sum of its proper divisors (1644310016480).

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

1034011100320 is a wasteful number, since it uses less digits than its factorization.

1034011100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952518 (or 2952510 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1034011100320 its reverse (230011104301), we get a palindrome (1264022204621).

The spelling of 1034011100320 in words is "one trillion, thirty-four billion, eleven million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 199 220 352 398 440 796 880 995 1592 1760 1990 2189 3184 3980 4378 6368 7960 8756 10945 15920 17512 21890 31840 35024 43780 70048 87560 175120 350240 2952293 5904586 11809172 14761465 23618344 29522930 32475223 47236688 59045860 64950446 94473376 118091720 129900892 162376115 236183440 259801784 324752230 472366880 519603568 587506307 649504460 1039207136 1175012614 1299008920 2350025228 2598017840 2937531535 4700050456 5196035680 5875063070 6462569377 9400100912 11750126140 12925138754 18800201824 23500252280 25850277508 32312846885 47000504560 51700555016 64625693770 94001009120 103401110032 129251387540 206802220064 258502775080 517005550160 1034011100320