Search a number
-
+
230103333020 = 225112359537639
BaseRepresentation
bin1101011001001100111…
…0100011100010011100
3210222221022000110010102
43112103032203202130
512232222423124040
6253412533000232
722424114026211
oct3262316434234
9728838013112
10230103333020
118964a372920
1238719183078
1318910c23b72
14b1cc147b08
155ebb1b0515
hex35933a389c

230103333020 has 96 divisors (see below), whose sum is σ = 550229621760. Its totient is φ = 80012021760.

The previous prime is 230103333017. The next prime is 230103333071. The reversal of 230103333020 is 20333301032.

230103333020 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 = 230103332983 and 230103333001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30118361 + ... + 30125999.

It is an arithmetic number, because the mean of its divisors is an integer number (5731558560).

Almost surely, 2230103333020 is an apocalyptic number.

230103333020 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 230103333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275114810880).

230103333020 is an abundant number, since it is smaller than the sum of its proper divisors (320126288740).

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

230103333020 is a wasteful number, since it uses less digits than its factorization.

230103333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13635 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 230103333020 its reverse (20333301032), we get a palindrome (250436634052).

The spelling of 230103333020 in words is "two hundred thirty billion, one hundred three million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 5953 7639 11906 15278 23812 29765 30556 38195 59530 65483 76390 84029 119060 130966 136919 152780 168058 175697 261932 273838 327415 336116 351394 420145 547676 654830 684595 702788 840290 878485 1309660 1369190 1506109 1680580 1756970 1932667 2738380 3012218 3513940 3865334 6024436 7530545 7730668 9663335 15061090 19326670 30122180 38653340 45474967 90949934 181899868 227374835 454749670 500224637 909499340 1000449274 1045924241 2000898548 2091848482 2501123185 4183696964 5002246370 5229621205 10004492740 10459242410 11505166651 20918484820 23010333302 46020666604 57525833255 115051666510 230103333020