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11332213103320 = 23529103215344053
BaseRepresentation
bin1010010011100111110010…
…0010010101101011011000
31111010100102102012220110021
42210321330202111223120
52441131333023301240
640033540303200224
72246503543030054
oct244717442255330
944110372186407
1011332213103320
113679a6795954a
1213303132a6074
13642813c86635
142b26a6a10c64
15149b9bdeb54a
hexa4e7c895ad8

11332213103320 has 128 divisors (see below), whose sum is σ = 26645762332800. Its totient is φ = 4331976413184.

The previous prime is 11332213103297. The next prime is 11332213103327. The reversal of 11332213103320 is 2330131223311.

11332213103320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332213103327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257218414 + ... + 257262466.

It is an arithmetic number, because the mean of its divisors is an integer number (208170018225).

Almost surely, 211332213103320 is an apocalyptic number.

11332213103320 is a gapful number since it is divisible by the number (10) 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 11332213103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322881166400).

11332213103320 is an abundant number, since it is smaller than the sum of its proper divisors (15313549229480).

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

11332213103320 is a wasteful number, since it uses less digits than its factorization.

11332213103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46349 (or 46345 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 11332213103320 its reverse (2330131223311), we get a palindrome (13662344326631).

The spelling of 11332213103320 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 103 116 145 206 232 290 412 515 580 824 1030 1160 2060 2153 2987 4120 4306 5974 8612 10765 11948 14935 17224 21530 23896 29870 43060 44053 59740 62437 86120 88106 119480 124874 176212 220265 221759 249748 312185 352424 440530 443518 499496 624370 881060 887036 1108795 1248740 1277537 1762120 1774072 2217590 2497480 2555074 4435180 4537459 5110148 6387685 6431011 8870360 9074918 10220296 12775370 12862022 18149836 22687295 25550740 25724044 32155055 36299672 45374590 51101480 51448088 64310110 90749180 94846109 128620220 131586311 181498360 189692218 257240440 263172622 379384436 474230545 526345244 657931555 758768872 948461090 1052690488 1315863110 1896922180 2631726220 2750537161 3793844360 5263452440 5501074322 9769149227 11002148644 13752685805 19538298454 22004297288 27505371610 39076596908 48845746135 55010743220 78153193816 97691492270 110021486440 195382984540 283305327583 390765969080 566610655166 1133221310332 1416526637915 2266442620664 2833053275830 5666106551660 11332213103320