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12300210020 = 22572337910079
BaseRepresentation
bin10110111010010011…
…00100111101100100
31011202020000102002002
423131021210331210
5200142323210040
65352312104432
7613545026420
oct133511447544
934666012062
1012300210020
11524216992a
122473395118
1312104070a7
14849847b80
154becc1a15
hex2dd264f64

12300210020 has 96 divisors (see below), whose sum is σ = 30888345600. Its totient is φ = 4022815104.

The previous prime is 12300210011. The next prime is 12300210029. The reversal of 12300210020 is 2001200321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12300210011) and next prime (12300210029).

It is a super-2 number, since 2×123002100202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300209983 and 12300210010.

It is not an unprimeable number, because it can be changed into a prime (12300210029) 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, 1215341 + ... + 1225419.

It is an arithmetic number, because the mean of its divisors is an integer number (321753600).

Almost surely, 212300210020 is an apocalyptic number.

12300210020 is a gapful number since it is divisible by the number (10) 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 12300210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

12300210020 is an abundant number, since it is smaller than the sum of its proper divisors (18588135580).

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

12300210020 is a wasteful number, since it uses less digits than its factorization.

12300210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12300210020 its reverse (2001200321), we get a palindrome (14301410341).

The spelling of 12300210020 in words is "twelve billion, three hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 379 460 644 758 805 1516 1610 1895 2653 3220 3790 5306 7580 8717 10079 10612 13265 17434 20158 26530 34868 40316 43585 50395 53060 61019 70553 87170 100790 122038 141106 174340 201580 231817 244076 282212 305095 352765 463634 610190 705530 927268 1159085 1220380 1411060 1622719 2318170 3245438 3819941 4636340 6490876 7639882 8113595 15279764 16227190 19099705 26739587 32454380 38199410 53479174 76398820 87858643 106958348 133697935 175717286 267395870 351434572 439293215 534791740 615010501 878586430 1230021002 1757172860 2460042004 3075052505 6150105010 12300210020