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115200323511042 = 237111511651333441
BaseRepresentation
bin11010001100011000101010…
…010111000110001100000010
3120002220001011121200122202010
4122030120222113012030002
5110044420230304323132
61045002144212233350
733156643260156630
oct3214305227061402
9502801147618663
10115200323511042
11337852013a0550
1210b0671730b856
134c384616c4c33
142063a2273c350
15d4b9589ad6cc
hex68c62a5c6302

115200323511042 has 64 divisors (see below), whose sum is σ = 289155091027968. Its totient is φ = 29724001920000.

The previous prime is 115200323511001. The next prime is 115200323511043. The reversal of 115200323511042 is 240115323002511.

It is a happy number.

It is a super-2 number, since 2×1152003235110422 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115200323511043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825596959 + ... + 825736482.

It is an arithmetic number, because the mean of its divisors is an integer number (4518048297312).

Almost surely, 2115200323511042 is an apocalyptic number.

115200323511042 is an abundant number, since it is smaller than the sum of its proper divisors (173954767516926).

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

115200323511042 is a wasteful number, since it uses less digits than its factorization.

115200323511042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651333615.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 115200323511042 its reverse (240115323002511), we get a palindrome (355315646513553).

The spelling of 115200323511042 in words is "one hundred fifteen trillion, two hundred billion, three hundred twenty-three million, five hundred eleven thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 231 302 453 462 906 1057 1661 2114 3171 3322 4983 6342 9966 11627 23254 34881 69762 1651333441 3302666882 4954000323 9908000646 11559334087 18164667851 23118668174 34678002261 36329335702 54494003553 69356004522 108988007106 127152674957 249351349591 254305349914 381458024871 498702699182 748054048773 762916049742 1496108097546 1745459447137 2742864845501 3490918894274 5236378341411 5485729691002 8228594536503 10472756682822 16457189073006 19200053918507 38400107837014 57600161755521 115200323511042