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1121031033330 = 2351323853146513
BaseRepresentation
bin10000010100000010101…
…010000001000111110010
310222011120120122221211010
4100110002222001013302
5121331332421031310
62214554453331350
7143664123363345
oct20240252010762
93864516587733
101121031033330
113a247687a67a
1216131b036b56
1381935c674b0
143c38869845c
151e261ecd320
hex10502a811f2

1121031033330 has 128 divisors (see below), whose sum is σ = 3026974551552. Its totient is φ = 263637209088.

The previous prime is 1121031033329. The next prime is 1121031033349. The reversal of 1121031033330 is 333301301211.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1121031033297 and 1121031033306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7578154 + ... + 7724666.

It is an arithmetic number, because the mean of its divisors is an integer number (23648238684).

Almost surely, 21121031033330 is an apocalyptic number.

1121031033330 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 1121031033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513487275776).

1121031033330 is an abundant number, since it is smaller than the sum of its proper divisors (1905943518222).

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

1121031033330 is a wasteful number, since it uses less digits than its factorization.

1121031033330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147412.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1121031033330 its reverse (333301301211), we get a palindrome (1454332334541).

The spelling of 1121031033330 in words is "one trillion, one hundred twenty-one billion, thirty-one million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 853 897 1495 1706 1794 2559 2990 4265 4485 5118 8530 8970 11089 12795 19619 22178 25590 33267 39238 55445 58857 66534 98095 110890 117714 146513 166335 196190 255047 293026 294285 332670 439539 510094 588570 732565 765141 879078 1275235 1465130 1530282 1904669 2197695 2550470 3369799 3809338 3825705 4395390 5714007 6739598 7651410 9523345 10109397 11428014 16848995 19046690 20218794 28570035 33697990 43807387 50546985 57140070 87614774 101093970 124975589 131422161 219036935 249951178 262844322 374926767 438073870 624877945 657110805 749853534 1249755890 1314221610 1624682657 1874633835 2874438547 3249365314 3749267670 4874047971 5748877094 8123413285 8623315641 9748095942 14372192735 16246826570 17246631282 24370239855 28744385470 37367701111 43116578205 48740479710 74735402222 86233156410 112103103333 186838505555 224206206666 373677011110 560515516665 1121031033330