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315225545130 = 23354141967961
BaseRepresentation
bin1001001011001001110…
…10000001100110101010
31010010122121110212012000
410211210322001212222
520131040214421010
6400451305231430
731526403631626
oct4454472014652
91103577425160
10315225545130
11111760669751
1251114492576
1323958307302
14113852b8186
1582ee1c67c0
hex4964e819aa

315225545130 has 128 divisors (see below), whose sum is σ = 863171769600. Its totient is φ = 81812966400.

The previous prime is 315225545093. The next prime is 315225545137. The reversal of 315225545130 is 31545522513.

315225545130 is a `hidden beast` number, since 3 + 1 + 5 + 22 + 554 + 51 + 30 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315225545137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4604350 + ... + 4672310.

It is an arithmetic number, because the mean of its divisors is an integer number (6743529450).

Almost surely, 2315225545130 is an apocalyptic number.

315225545130 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 315225545130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431585884800).

315225545130 is an abundant number, since it is smaller than the sum of its proper divisors (547946224470).

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

315225545130 is a wasteful number, since it uses less digits than its factorization.

315225545130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68437 (or 68431 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 315225545130 in words is "three hundred fifteen billion, two hundred twenty-five million, five hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 419 615 738 838 1107 1230 1257 1845 2095 2214 2514 3690 3771 4190 5535 6285 7542 11070 11313 12570 17179 18855 22626 34358 37710 51537 56565 67961 85895 103074 113130 135922 154611 171790 203883 257685 309222 339805 407766 463833 515370 611649 679610 773055 927666 1019415 1223298 1546110 1834947 2038830 2319165 2786401 3058245 3669894 4638330 5572802 6116490 8359203 9174735 13932005 16718406 18349470 25077609 27864010 28475659 41796015 50155218 56951318 75232827 83592030 85426977 125388045 142378295 150465654 170853954 250776090 256280931 284756590 376164135 427134885 512561862 752328270 768842793 854269770 1167502019 1281404655 1537685586 2335004038 2562809310 3502506057 3844213965 5837510095 7005012114 7688427930 10507518171 11675020190 17512530285 21015036342 31522554513 35025060570 52537590855 63045109026 105075181710 157612772565 315225545130