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11032211012320 = 2551715792568689
BaseRepresentation
bin1010000010001010001100…
…0001001011101011100000
31110001200001202100122101201
42200202203001023223200
52421222432004343240
635244043333210544
72216023321235251
oct240424301135340
943050052318351
1011032211012320
113573809564253
1212a2149190a54
136204438a5064
142a1d674c6b28
15141e8e477d9a
hexa08a304bae0

11032211012320 has 96 divisors (see below), whose sum is σ = 27614239480800. Its totient is φ = 4150671015936.

The previous prime is 11032211012239. The next prime is 11032211012327. The reversal of 11032211012320 is 2321011223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032211012327) 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, 3010536 + ... + 5579224.

It is an arithmetic number, because the mean of its divisors is an integer number (287648327925).

Almost surely, 211032211012320 is an apocalyptic number.

11032211012320 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 11032211012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807119740400).

11032211012320 is an abundant number, since it is smaller than the sum of its proper divisors (16582028468480).

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

11032211012320 is a wasteful number, since it uses less digits than its factorization.

11032211012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570300 (or 2570292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11032211012320 its reverse (2321011223011), we get a palindrome (13353222235331).

The spelling of 11032211012320 in words is "eleven trillion, thirty-two billion, two hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1579 2720 3158 6316 7895 12632 15790 25264 26843 31580 50528 53686 63160 107372 126320 134215 214744 252640 268430 429488 536860 858976 1073720 2147440 2568689 4294880 5137378 10274756 12843445 20549512 25686890 41099024 43667713 51373780 82198048 87335426 102747560 174670852 205495120 218338565 349341704 410990240 436677130 698683408 873354260 1397366816 1746708520 3493417040 4055959931 6986834080 8111919862 16223839724 20279799655 32447679448 40559599310 64895358896 68951318827 81119198620 129790717792 137902637654 162238397240 275805275308 324476794480 344756594135 551610550616 648953588960 689513188270 1103221101232 1379026376540 2206442202464 2758052753080 5516105506160 11032211012320