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131233140130035 = 3519705376528023
BaseRepresentation
bin11101110101101100011000…
…101100110100000011110011
3122012122202200011201102201210
4131311230120230310003303
5114200110432333130120
61143035401114331203
736433165356650436
oct3565543054640363
9565582604642653
10131233140130035
11388a67313a9539
1212875a41129b03
13582c302970a98
142459a09bb381d
151028a1d8d1ce0
hex775b18b340f3

131233140130035 has 32 divisors (see below), whose sum is σ = 221027403317760. Its totient is φ = 66306320610048.

The previous prime is 131233140130033. The next prime is 131233140130151. The reversal of 131233140130035 is 530031041332131.

It is a happy number.

It is not a de Polignac number, because 131233140130035 - 21 = 131233140130033 is a prime.

It is a super-3 number, since 3×1312331401300353 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131233140129984 and 131233140130011.

It is not an unprimeable number, because it can be changed into a prime (131233140130033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16839034 + ... + 23367056.

It is an arithmetic number, because the mean of its divisors is an integer number (6907106353680).

Almost surely, 2131233140130035 is an apocalyptic number.

131233140130035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131233140130035 is a deficient number, since it is larger than the sum of its proper divisors (89794263187725).

131233140130035 is a wasteful number, since it uses less digits than its factorization.

131233140130035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598587.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 131233140130035 its reverse (530031041332131), we get a palindrome (661264181462166).

The spelling of 131233140130035 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred forty million, one hundred thirty thousand, thirty-five".

Divisors: 1 3 5 15 19 57 95 285 70537 211611 352685 1058055 1340203 4020609 6528023 6701015 19584069 20103045 32640115 97920345 124032437 372097311 620162185 1860486555 460467158351 1381401475053 2302335791755 6907007375265 8748876008669 26246628026007 43744380043345 131233140130035