Search a number
-
+
300211220010 = 235131761742307
BaseRepresentation
bin1000101111001011111…
…10111010111000101010
31001200220020101010010110
410113211332322320222
514404313033020020
6345525400155150
730455341160202
oct4274576727052
91050806333113
10300211220010
11106356452a99
124a224168ab6
1322404813b70
141075d205402
157c20ed28e0
hex45e5fbae2a

300211220010 has 128 divisors (see below), whose sum is σ = 835043053824. Its totient is φ = 68410920960.

The previous prime is 300211219999. The next prime is 300211220041. The reversal of 300211220010 is 10022112003.

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 63 ways as a sum of consecutive naturals, for example, 33277 + ... + 775583.

It is an arithmetic number, because the mean of its divisors is an integer number (6523773858).

Almost surely, 2300211220010 is an apocalyptic number.

300211220010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300211220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417521526912).

300211220010 is an abundant number, since it is smaller than the sum of its proper divisors (534831833814).

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

300211220010 is a wasteful number, since it uses less digits than its factorization.

300211220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742408.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 300211220010 its reverse (10022112003), we get a palindrome (310233332013).

The spelling of 300211220010 in words is "three hundred billion, two hundred eleven million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 61 65 78 85 102 122 130 170 183 195 221 255 305 366 390 442 510 610 663 793 915 1037 1105 1326 1586 1830 2074 2210 2379 3111 3315 3965 4758 5185 6222 6630 7930 10370 11895 13481 15555 23790 26962 31110 40443 67405 80886 134810 202215 404430 742307 1484614 2226921 3711535 4453842 7423070 9649991 11134605 12619219 19299982 22269210 25238438 28949973 37857657 45280727 48249955 57899946 63096095 75715314 90561454 96499910 126192190 135842181 144749865 164049847 189288285 226403635 271684362 289499730 328099694 378576570 452807270 492149541 588649451 679210905 769772359 820249235 984299082 1177298902 1358421810 1539544718 1640498470 1765948353 2309317077 2460747705 2943247255 3531896706 3848861795 4618634154 4921495410 5886494510 7697723590 8829741765 10007040667 11546585385 17659483530 20014081334 23093170770 30021122001 50035203335 60042244002 100070406670 150105610005 300211220010