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11300032223232 = 21131897996907
BaseRepresentation
bin1010010001101111111001…
…1010000001100000000000
31111000021100200012211000120
42210123332122001200000
52440114431222120412
640011055123220240
72244254222044164
oct244337632014000
944007320184016
1011300032223232
113667353664a85
121326031b17680
1363c785b2585c
142b0cd2aa4ca4
15148e16ad0b8c
hexa46fe681800

11300032223232 has 96 divisors (see below), whose sum is σ = 30127960699200. Its totient is φ = 3766440075264.

The previous prime is 11300032223213. The next prime is 11300032223257. The reversal of 11300032223232 is 23232223000311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116558523 + ... + 116655429.

It is an arithmetic number, because the mean of its divisors is an integer number (313832923950).

Almost surely, 211300032223232 is an apocalyptic number.

11300032223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11300032223232 is an abundant number, since it is smaller than the sum of its proper divisors (18827928475968).

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

11300032223232 is an equidigital number, since it uses as much as digits as its factorization.

11300032223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115911 (or 115891 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11300032223232 its reverse (23232223000311), we get a palindrome (34532255223543).

The spelling of 11300032223232 in words is "eleven trillion, three hundred billion, thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 18979 37958 56937 75916 96907 113874 151832 193814 227748 290721 303664 387628 455496 581442 607328 775256 910992 1162884 1214656 1550512 1821984 2325768 2429312 3101024 3643968 4651536 4858624 6202048 7287936 9303072 9717248 12404096 14575872 18606144 19434496 24808192 29151744 37212288 38868992 49616384 58303488 74424576 99232768 116606976 148849152 198465536 297698304 595396608 1839197953 3678395906 5517593859 7356791812 11035187718 14713583624 22070375436 29427167248 44140750872 58854334496 88281501744 117708668992 176563003488 235417337984 353126006976 470834675968 706252013952 941669351936 1412504027904 1883338703872 2825008055808 3766677407744 5650016111616 11300032223232