Search a number
-
+
231333210020 = 225112933588787
BaseRepresentation
bin1101011101110010001…
…0001010011110100100
3211010010000020200012102
43113130202022132210
512242232300210040
6254134545311232
722466436561353
oct3273442123644
9733100220172
10231333210020
118a1206256a0
1238a01035518
1318a78979333
14b2a761399a
15603e14d515
hex35dc88a7a4

231333210020 has 48 divisors (see below), whose sum is σ = 531772250688. Its totient is φ = 83834040960.

The previous prime is 231333210001. The next prime is 231333210083. The reversal of 231333210020 is 20012333132.

231333210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231333209974 and 231333210001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729934 + ... + 1858853.

It is an arithmetic number, because the mean of its divisors is an integer number (11078588556).

Almost surely, 2231333210020 is an apocalyptic number.

231333210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231333210020 is an abundant number, since it is smaller than the sum of its proper divisors (300439040668).

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

231333210020 is a wasteful number, since it uses less digits than its factorization.

231333210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589100 (or 3589098 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 231333210020 its reverse (20012333132), we get a palindrome (251345543152).

The spelling of 231333210020 in words is "two hundred thirty-one billion, three hundred thirty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 293 586 1172 1465 2930 3223 5860 6446 12892 16115 32230 64460 3588787 7177574 14355148 17943935 35887870 39476657 71775740 78953314 157906628 197383285 394766570 789533140 1051514591 2103029182 4206058364 5257572955 10515145910 11566660501 21030291820 23133321002 46266642004 57833302505 115666605010 231333210020