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301220104230 = 2325157162113151
BaseRepresentation
bin1000110001000100001…
…11100000100000100110
31001210111112202202002200
410120202013200200212
514413344321313410
6350213440115330
730522341432463
oct4304207404046
91053445682080
10301220104230
11106823994701
124a466005b46
1322535841a86
14108171c666a
157c7e86b3c0
hex46221e0826

301220104230 has 96 divisors (see below), whose sum is σ = 788706816768. Its totient is φ = 79758432000.

The previous prime is 301220104201. The next prime is 301220104253. The reversal of 301220104230 is 32401022103.

301220104230 is a `hidden beast` number, since 30 + 12 + 201 + 0 + 423 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22898155 + ... + 22911305.

It is an arithmetic number, because the mean of its divisors is an integer number (8215696008).

Almost surely, 2301220104230 is an apocalyptic number.

301220104230 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 301220104230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394353408384).

301220104230 is an abundant number, since it is smaller than the sum of its proper divisors (487486712538).

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

301220104230 is a wasteful number, since it uses less digits than its factorization.

301220104230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 301220104230 its reverse (32401022103), we get a palindrome (333621126333).

It can be divided in two parts, 301220 and 104230, that added together give a triangular number (405450 = T900).

The spelling of 301220104230 in words is "three hundred one billion, two hundred twenty million, one hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 1621 2355 2826 3242 4710 4863 7065 8105 9726 13151 14130 14589 16210 24315 26302 29178 39453 48630 65755 72945 78906 118359 131510 145890 197265 236718 254497 394530 508994 591795 763491 1183590 1272485 1526982 2064707 2290473 2544970 3817455 4129414 4580946 6194121 7634910 10323535 11452365 12388242 18582363 20647070 21317771 22904730 30970605 37164726 42635542 61941210 63953313 92911815 106588855 127906626 185823630 191859939 213177710 319766565 383719878 639533130 959299695 1918599390 3346890047 6693780094 10040670141 16734450235 20081340282 30122010423 33468900470 50203350705 60244020846 100406701410 150610052115 301220104230