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230820032541 = 3721792364959
BaseRepresentation
bin1101011011110111110…
…0100011000000011101
3211001210020121120001010
43112331330203000131
512240204412020131
6254012014205433
722450635622200
oct3267574430035
9731706546033
10230820032541
118998798887a
12388991b3879
13189c655c317
14b2593cb937
15600e080b46
hex35bdf2301d

230820032541 has 24 divisors (see below), whose sum is σ = 379065795840. Its totient is φ = 124138503552.

The previous prime is 230820032453. The next prime is 230820032551. The reversal of 230820032541 is 145230028032.

It is not a de Polignac number, because 230820032541 - 27 = 230820032413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230820032499 and 230820032508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230820032551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46179981 + ... + 46184978.

It is an arithmetic number, because the mean of its divisors is an integer number (15794408160).

Almost surely, 2230820032541 is an apocalyptic number.

230820032541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230820032541 is a deficient number, since it is larger than the sum of its proper divisors (148245763299).

230820032541 is a wasteful number, since it uses less digits than its factorization.

230820032541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92364993 (or 92364986 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 230820032541 in words is "two hundred thirty billion, eight hundred twenty million, thirty-two thousand, five hundred forty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 92364959 277094877 646554713 1570204303 1939664139 4525882991 4710612909 10991430121 13577648973 32974290363 76940010847 230820032541