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300113220301164 = 2232532331499450349
BaseRepresentation
bin100010000111100111000110…
…1111000110111000101101100
31110100121112200022220210221200
41010033032031320313011230
5303314023333344114124
62542142035440125500
7120133315241242464
oct10417161570670554
91410545608823850
10300113220301164
1187697335a19556
12297abb52306890
13cb5c72ab2aa6a
1454177b35aaba4
1524a6978514bc9
hex110f38de3716c

300113220301164 has 144 divisors (see below), whose sum is σ = 776769984900000. Its totient is φ = 97663576937472.

The previous prime is 300113220301163. The next prime is 300113220301211. The reversal of 300113220301164 is 461103022311003.

It is a happy number.

300113220301164 is a `hidden beast` number, since 30 + 0 + 1 + 1 + 322 + 0 + 301 + 1 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (300113220301163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666176262 + ... + 666626610.

It is an arithmetic number, because the mean of its divisors is an integer number (5394236006250).

Almost surely, 2300113220301164 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 300113220301164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388384992450000).

300113220301164 is an abundant number, since it is smaller than the sum of its proper divisors (476656764598836).

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

300113220301164 is a wasteful number, since it uses less digits than its factorization.

300113220301164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452144 (or 452139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 300113220301164 its reverse (461103022311003), we get a palindrome (761216242612167).

The spelling of 300113220301164 in words is "three hundred trillion, one hundred thirteen billion, two hundred twenty million, three hundred one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 233 318 466 477 636 699 932 954 1398 1499 1908 2097 2796 2998 4194 4497 5996 8388 8994 12349 13491 17988 24698 26982 37047 49396 53964 74094 79447 111141 148188 158894 222282 238341 317788 349267 444564 450349 476682 698534 715023 900698 953364 1047801 1351047 1397068 1430046 1801396 2095602 2702094 2860092 3143403 4053141 4191204 5404188 6286806 8106282 12573612 16212564 18511151 23868497 37022302 47736994 55533453 71605491 74044604 95473988 104931317 111066906 143210982 166600359 209862634 214816473 222133812 286421964 314793951 333200718 419725268 429632946 629587902 666401436 675073151 859265892 944381853 1259175804 1350146302 1888763706 2025219453 2700292604 3777527412 4050438906 5561359801 6075658359 8100877812 11122719602 12151316718 16684079403 22245439204 24302633436 33368158806 35778877003 50052238209 66736317612 71557754006 100104476418 107336631009 143115508012 157292044183 200208952836 214673262018 314584088366 322009893027 429346524036 471876132549 629168176732 644019786054 943752265098 1288039572108 1415628397647 1887504530196 2831256795294 5662513590588 8336478341699 16672956683398 25009435025097 33345913366796 50018870050194 75028305075291 100037740100388 150056610150582 300113220301164