Search a number
-
+
2110030011232 = 2511133971161481
BaseRepresentation
bin11110101101000111100…
…101101101101101100000
321110201100121201120000021
4132231013211231231200
5234032320140324412
64253200122003224
7305305340111563
oct36550745555540
97421317646007
102110030011232
11743949a29870
122a0b30946514
13123c8a03b3b0
14741a9a464da
1539d47a52607
hex1eb4796db60

2110030011232 has 96 divisors (see below), whose sum is σ = 4892663944224. Its totient is φ = 883096473600.

The previous prime is 2110030011227. The next prime is 2110030011239. The reversal of 2110030011232 is 2321100300112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110030011239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235932 + ... + 2397412.

It is an arithmetic number, because the mean of its divisors is an integer number (50965249419).

Almost surely, 22110030011232 is an apocalyptic number.

2110030011232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110030011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446331972112).

2110030011232 is an abundant number, since it is smaller than the sum of its proper divisors (2782633932992).

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

2110030011232 is a wasteful number, since it uses less digits than its factorization.

2110030011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161912 (or 1161904 counting only the distinct ones).

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

Adding to 2110030011232 its reverse (2321100300112), we get a palindrome (4431130311344).

The spelling of 2110030011232 in words is "two trillion, one hundred ten billion, thirty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 397 416 572 794 1144 1588 2288 3176 4367 4576 5161 6352 8734 10322 12704 17468 20644 34936 41288 56771 69872 82576 113542 139744 165152 227084 454168 908336 1161481 1816672 2322962 4645924 9291848 12776291 15099253 18583696 25552582 30198506 37167392 51105164 60397012 102210328 120794024 166091783 204420656 241588048 332183566 408841312 461107957 483176096 664367132 922215914 1328734264 1844431828 2657468528 3688863656 5072187527 5314937056 5994403441 7377727312 10144375054 11988806882 14755454624 20288750108 23977613764 40577500216 47955227528 65938437851 81155000432 95910455056 131876875702 162310000864 191820910112 263753751404 527507502808 1055015005616 2110030011232