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300100121020 = 2257151112312641
BaseRepresentation
bin1000101110111110101…
…11000111000110111100
31001200121111022200222001
410113133113013012330
514404101112333040
6345510351032044
730452521640350
oct4273727070674
91050544280861
10300100121020
111062a9770747
124a1b2b0b624
13223b77b550b
141074c565460
157c1638959a
hex45df5c71bc

300100121020 has 96 divisors (see below), whose sum is σ = 725713099776. Its totient is φ = 102110976000.

The previous prime is 300100120987. The next prime is 300100121053. The reversal of 300100121020 is 20121001003.

It is an interprime number because it is at equal distance from previous prime (300100120987) and next prime (300100121053).

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

It is a junction number, because it is equal to n+sod(n) for n = 300100120988 and 300100121006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23733900 + ... + 23746540.

It is an arithmetic number, because the mean of its divisors is an integer number (7559511456).

Almost surely, 2300100121020 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 300100121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362856549888).

300100121020 is an abundant number, since it is smaller than the sum of its proper divisors (425612978756).

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

300100121020 is a wasteful number, since it uses less digits than its factorization.

300100121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 300100121020 its reverse (20121001003), we get a palindrome (320221122023).

The spelling of 300100121020 in words is "three hundred billion, one hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1123 1510 2114 2246 3020 4228 4492 5285 5615 7861 10570 11230 12641 15722 21140 22460 25282 31444 39305 50564 63205 78610 88487 126410 157220 169573 176974 252820 339146 353948 442435 678292 847865 884870 1187011 1695730 1769740 1908791 2374022 3391460 3817582 4748044 5935055 7635164 9543955 11870110 13361537 14195843 19087910 23740220 26723074 28391686 38175820 53446148 56783372 66807685 70979215 99370901 133615370 141958430 198741802 267230740 283916860 397483604 496854505 993709010 1987418020 2143572293 4287144586 8574289172 10717861465 15005006051 21435722930 30010012102 42871445860 60020024204 75025030255 150050060510 300100121020