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13035153351342 = 23294316071084133
BaseRepresentation
bin1011110110101111101110…
…1011110110001010101110
31201011011000020201210201010
42331223323223312022232
53202031443224220332
643420133342530050
72513521152223233
oct275537353661256
951134006653633
1013035153351342
1141761a5271981
121566372596926
137372958b2525
14330c94a4d78a
1517911a9099cc
hexbdafbaf62ae

13035153351342 has 64 divisors (see below), whose sum is σ = 27613673556480. Its totient is φ = 4095104813184.

The previous prime is 13035153351331. The next prime is 13035153351343. The reversal of 13035153351342 is 24315335153031.

It is a self number, because there is not a number n which added to its sum of digits gives 13035153351342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035153351343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11481508 + ... + 12565640.

It is an arithmetic number, because the mean of its divisors is an integer number (431463649320).

Almost surely, 213035153351342 is an apocalyptic number.

13035153351342 is an abundant number, since it is smaller than the sum of its proper divisors (14578520205138).

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

13035153351342 is a wasteful number, since it uses less digits than its factorization.

13035153351342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085817.

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 13035153351342 in words is "thirteen trillion, thirty-five billion, one hundred fifty-three million, three hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 29 43 58 86 87 129 174 258 1247 1607 2494 3214 3741 4821 7482 9642 46603 69101 93206 138202 139809 207303 279618 414606 1084133 2003929 2168266 3252399 4007858 6011787 6504798 12023574 31439857 46617719 62879714 93235438 94319571 139853157 188639142 279706314 1351913851 1742201731 2703827702 3484403462 4055741553 5226605193 8111483106 10453210386 50523850199 74914674433 101047700398 149829348866 151571550597 224744023299 303143101194 449488046598 2172525558557 4345051117114 6517576675671 13035153351342