Search a number
-
+
231302223020 = 225112101946331
BaseRepresentation
bin1101011101101010101…
…1111101010010101100
3211010000211221101000202
43113122223331102230
512242201332114040
6254131521213032
722465612312301
oct3273253752254
9733024841022
10231302223020
118a105090700
12389b2791178
1318a7241a02b
14b2a34690a8
15603b57c015
hex35daafd4ac

231302223020 has 72 divisors (see below), whose sum is σ = 539193476304. Its totient is φ = 83277040000.

The previous prime is 231302223017. The next prime is 231302223029. The reversal of 231302223020 is 20322203132.

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 = 231302222983 and 231302223001.

It is not an unprimeable number, because it can be changed into a prime (231302223029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228746 + ... + 717585.

It is an arithmetic number, because the mean of its divisors is an integer number (7488798282).

Almost surely, 2231302223020 is an apocalyptic number.

231302223020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231302223020 is an abundant number, since it is smaller than the sum of its proper divisors (307891253284).

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

231302223020 is a wasteful number, since it uses less digits than its factorization.

231302223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946463 (or 946450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 231302223020 its reverse (20322203132), we get a palindrome (251624426152).

The spelling of 231302223020 in words is "two hundred thirty-one billion, three hundred two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 946331 1892662 3785324 4731655 9463310 10409641 18926620 20819282 41638564 52048205 95579431 104096410 114506051 191158862 208192820 229012102 382317724 458024204 477897155 572530255 955794310 1051373741 1145060510 1911588620 2102747482 2290121020 4205494964 5256868705 10513737410 11565111151 21027474820 23130222302 46260444604 57825555755 115651111510 231302223020