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11331202001320 = 2354183541153871
BaseRepresentation
bin1010010011100100000001…
…0001010010100110101000
31111010020210221122121021001
42210321000101102212220
52441122300203020240
640033252103524344
72246436514556605
oct244710021224650
944106727577231
1011331202001320
113679599142663
1213300907596b4
136426b2660126
142b260c6136ac
15149b3d27589a
hexa4e404529a8

11331202001320 has 128 divisors (see below), whose sum is σ = 26480731092480. Its totient is φ = 4360552704000.

The previous prime is 11331202001309. The next prime is 11331202001323. The reversal of 11331202001320 is 2310020213311.

It is a super-2 number, since 2×113312020013202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331202001323) 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, 73563985 + ... + 73717855.

It is an arithmetic number, because the mean of its divisors is an integer number (206880711660).

Almost surely, 211331202001320 is an apocalyptic number.

11331202001320 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 11331202001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240365546240).

11331202001320 is an abundant number, since it is smaller than the sum of its proper divisors (15149529091160).

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

11331202001320 is a wasteful number, since it uses less digits than its factorization.

11331202001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154547 (or 154543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11331202001320 its reverse (2310020213311), we get a palindrome (13641222214631).

The spelling of 11331202001320 in words is "eleven trillion, three hundred thirty-one billion, two hundred two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 164 166 205 328 332 410 415 541 664 820 830 1082 1640 1660 2164 2705 3320 3403 4328 5410 6806 10820 13612 17015 21640 22181 27224 34030 44362 44903 68060 88724 89806 110905 136120 153871 177448 179612 221810 224515 307742 359224 443620 449030 615484 769355 887240 898060 1230968 1538710 1796120 1841023 3077420 3682046 6154840 6308711 7364092 9205115 12617422 12771293 14728184 18410230 25234844 25542586 31543555 36820460 50469688 51085172 63087110 63856465 73640920 83244211 102170344 126174220 127712930 166488422 252348440 255425860 332976844 416221055 510851720 523623013 665953688 832442110 1047246026 1664884220 2094492052 2618115065 3329768440 3413012651 4188984104 5236230130 6826025302 6909269513 10472460260 13652050604 13818539026 17065063255 20944920520 27304101208 27637078052 34130126510 34546347565 55274156104 68260253020 69092695130 136520506040 138185390260 276370780520 283280050033 566560100066 1133120200132 1416400250165 2266240400264 2832800500330 5665601000660 11331202001320