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231100020 = 223352811523
BaseRepresentation
bin11011100011001…
…00111001110100
3121002212002122000
431301210321310
5433130200040
634533135300
75504213664
oct1561447164
9532762560
10231100020
111094a4958
126548a530
1338b55b98
142299a1a4
151544e130
hexdc64e74

231100020 has 96 divisors (see below), whose sum is σ = 722010240. Its totient is φ = 61367040.

The previous prime is 231100013. The next prime is 231100027. The reversal of 231100020 is 20001132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231100013) and next prime (231100027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 231099975 and 231100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150979 + ... + 152501.

It is an arithmetic number, because the mean of its divisors is an integer number (7520940).

Almost surely, 2231100020 is an apocalyptic number.

231100020 is a gapful number since it is divisible by the number (20) 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 231100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361005120).

231100020 is an abundant number, since it is smaller than the sum of its proper divisors (490910220).

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

231100020 is a wasteful number, since it uses less digits than its factorization.

231100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 231100020 is about 15201.9742138974. The cubic root of 231100020 is about 613.6677884692.

Adding to 231100020 its reverse (20001132), we get a palindrome (251101152).

The spelling of 231100020 in words is "two hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 843 1124 1405 1523 1686 2529 2810 3046 3372 4215 4569 5058 5620 6092 7587 7615 8430 9138 10116 12645 13707 15174 15230 16860 18276 22845 25290 27414 30348 30460 37935 41121 45690 50580 54828 68535 75870 82242 91380 137070 151740 164484 205605 274140 411210 427963 822420 855926 1283889 1711852 2139815 2567778 3851667 4279630 5135556 6419445 7703334 8559260 11555001 12838890 15406668 19258335 23110002 25677780 38516670 46220004 57775005 77033340 115550010 231100020