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11323300300032 = 283715311375747
BaseRepresentation
bin1010010011000110100101…
…0010101100010100000000
31111002111102021012120211210
42210301221102230110000
52441010104334100112
640025504035010120
72246036636324610
oct244615122542400
944074367176753
1011323300300032
113676203904516
12132a646439940
13641a235b6336
142b209d016a40
151498296e5b3c
hexa4c694ac500

11323300300032 has 144 divisors (see below), whose sum is σ = 34464226345472. Its totient is φ = 3233113159680.

The previous prime is 11323300300009. The next prime is 11323300300061. The reversal of 11323300300032 is 23000300332311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11323300299981 and 11323300300008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7542783 + ... + 8918529.

Almost surely, 211323300300032 is an apocalyptic number.

11323300300032 is a gapful number since it is divisible by the number (12) 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 11323300300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17232113172736).

11323300300032 is an abundant number, since it is smaller than the sum of its proper divisors (23140926045440).

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

11323300300032 is a wasteful number, since it uses less digits than its factorization.

11323300300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377304 (or 1377290 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 11323300300032 its reverse (23000300332311), we get a palindrome (34323600632343).

The spelling of 11323300300032 in words is "eleven trillion, three hundred twenty-three billion, three hundred million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1531 1792 2688 3062 4593 5376 6124 9186 10717 12248 18372 21434 24496 32151 36744 42868 48992 64302 73488 85736 97984 128604 146976 171472 195968 257208 293952 342944 391936 514416 587904 685888 1028832 1175808 1371776 1375747 2057664 2743552 2751494 4115328 4127241 5502988 8230656 8254482 9630229 11005976 16508964 19260458 22011952 28890687 33017928 38520916 44023904 57781374 66035856 77041832 88047808 115562748 132071712 154083664 176095616 231125496 264143424 308167328 352191232 462250992 528286848 616334656 924501984 1056573696 1232669312 1849003968 2106268657 2465338624 3698007936 4212537314 6318805971 7396015872 8425074628 12637611942 14743880599 16850149256 25275223884 29487761198 33700298512 44231641797 50550447768 58975522396 67400597024 88463283594 101100895536 117951044792 134801194048 176926567188 202201791072 235902089584 269602388096 353853134376 404403582144 471804179168 539204776192 707706268752 808807164288 943608358336 1415412537504 1617614328576 1887216716672 2830825075008 3774433433344 5661650150016 11323300300032