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105312505530 = 235103157217081
BaseRepresentation
bin110001000010100011…
…1010100111010111010
3101001211102001120210210
41202011013110322322
53211140000134110
6120214020251550
710415512345551
oct1420507247272
9331742046723
10105312505530
1140732189141
12184b0b40bb6
139c1432723b
14515082cd98
152b15820520
hex18851d4eba

105312505530 has 64 divisors (see below), whose sum is σ = 256830582528. Its totient is φ = 27633415680.

The previous prime is 105312505523. The next prime is 105312505549. The reversal of 105312505530 is 35505213501.

It is a super-2 number, since 2×1053125055302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376590 + ... + 593670.

It is an arithmetic number, because the mean of its divisors is an integer number (4012977852).

Almost surely, 2105312505530 is an apocalyptic number.

105312505530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105312505530 is an abundant number, since it is smaller than the sum of its proper divisors (151518076998).

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

105312505530 is a wasteful number, since it uses less digits than its factorization.

105312505530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217351.

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 105312505530 in words is "one hundred five billion, three hundred twelve million, five hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 103 157 206 309 314 471 515 618 785 942 1030 1545 1570 2355 3090 4710 16171 32342 48513 80855 97026 161710 217081 242565 434162 485130 651243 1085405 1302486 2170810 3256215 6512430 22359343 34081717 44718686 67078029 68163434 102245151 111796715 134156058 170408585 204490302 223593430 335390145 340817170 511225755 670780290 1022451510 3510416851 7020833702 10531250553 17552084255 21062501106 35104168510 52656252765 105312505530