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230103102020 = 2251119433127133
BaseRepresentation
bin1101011001001100110…
…1101011001001000100
3210222221021120201020212
43112103031223021010
512232222343231040
6253412524014552
722424112044561
oct3262315531104
9728837521225
10230103102020
118964a225310
1238719091458
1318910b7298c
14b1cc0c7868
155ebb166d65
hex359336b244

230103102020 has 96 divisors (see below), whose sum is σ = 556175652480. Its totient is φ = 79086274560.

The previous prime is 230103102017. The next prime is 230103102037. The reversal of 230103102020 is 20201301032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230103101986 and 230103102004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746374 + ... + 1873506.

It is an arithmetic number, because the mean of its divisors is an integer number (5793496380).

Almost surely, 2230103102020 is an apocalyptic number.

230103102020 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 230103102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087826240).

230103102020 is an abundant number, since it is smaller than the sum of its proper divisors (326072550460).

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

230103102020 is a wasteful number, since it uses less digits than its factorization.

230103102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127605 (or 127603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230103102020 its reverse (20201301032), we get a palindrome (250304403052).

The spelling of 230103102020 in words is "two hundred thirty billion, one hundred three million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 433 836 866 1045 1732 2090 2165 4180 4330 4763 8227 8660 9526 16454 19052 23815 32908 41135 47630 82270 90497 95260 127133 164540 180994 254266 361988 452485 508532 635665 904970 1271330 1398463 1809940 2415527 2542660 2796926 4831054 5593852 6992315 9662108 12077635 13984630 24155270 26570797 27969260 48310540 53141594 55048589 106283188 110097178 132853985 220194356 265707970 275242945 531415940 550485890 605534479 1045923191 1100971780 1211068958 2091846382 2422137916 3027672395 4183692764 5229615955 6055344790 10459231910 11505155101 12110689580 20918463820 23010310202 46020620404 57525775505 115051551010 230103102020