Search a number
-
+
300102200020 = 225723162757283
BaseRepresentation
bin1000101110111110111…
…11000010101011010100
31001200121122020022211001
410113133133002223110
514404102130400040
6345510503353044
730452545416520
oct4273737025324
91050548208731
10300102200020
111062aa960727
124a1b3752784
13223b80628ac
141074c946d80
157c1664a59a
hex45df7c2ad4

300102200020 has 96 divisors (see below), whose sum is σ = 752035350528. Its totient is φ = 98356401792.

The previous prime is 300102199981. The next prime is 300102200039. The reversal of 300102200020 is 20002201003.

It is a super-2 number, since 2×3001022000202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 5210299 + ... + 5267581.

It is an arithmetic number, because the mean of its divisors is an integer number (7833701568).

Almost surely, 2300102200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300102200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376017675264).

300102200020 is an abundant number, since it is smaller than the sum of its proper divisors (451933150508).

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

300102200020 is a wasteful number, since it uses less digits than its factorization.

300102200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58949 (or 58947 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 300102200020 its reverse (20002201003), we get a palindrome (320104401023).

The spelling of 300102200020 in words is "three hundred billion, one hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 1627 3220 3254 6508 8135 11389 16270 22778 32540 37421 45556 56945 57283 74842 113890 114566 149684 187105 227780 229132 261947 286415 374210 400981 523894 572830 748420 801962 1047788 1145660 1309735 1317509 1603924 2004905 2619470 2635018 4009810 5238940 5270036 6587545 8019620 9222563 13175090 18445126 26350180 36890252 46112815 92225630 93199441 184451260 186398882 372797764 465997205 652396087 931994410 1304792174 1863988820 2143587143 2609584348 3261980435 4287174286 6523960870 8574348572 10717935715 13047921740 15005110001 21435871430 30010220002 42871742860 60020440004 75025550005 150051100010 300102200020