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1305435252340 = 22565271762617
BaseRepresentation
bin10010111111110010000…
…000010010011001110100
311121210120000201212202101
4102333302000102121310
5132342012411033330
62435413023551444
7163212621363202
oct22776200223164
94553500655671
101305435252340
114636a519277a
1219100375b584
139614318b19b
144727d38a072
1523e561a54ca
hex12ff2012674

1305435252340 has 12 divisors (see below), whose sum is σ = 2741414029956. Its totient is φ = 522174100928.

The previous prime is 1305435252311. The next prime is 1305435252343. The reversal of 1305435252340 is 432525345031.

It can be written as a sum of positive squares in 2 ways, for example, as 995469143824 + 309966108516 = 997732^2 + 556746^2 .

It is a super-2 number, since 2×13054352523402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1305435252340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305435252343) 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 3 ways as a sum of consecutive naturals, for example, 32635881289 + ... + 32635881328.

It is an arithmetic number, because the mean of its divisors is an integer number (228451169163).

Almost surely, 21305435252340 is an apocalyptic number.

1305435252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305435252340 is an abundant number, since it is smaller than the sum of its proper divisors (1435978777616).

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

1305435252340 is a wasteful number, since it uses less digits than its factorization.

1305435252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65271762626 (or 65271762624 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 1305435252340 in words is "one trillion, three hundred five billion, four hundred thirty-five million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 65271762617 130543525234 261087050468 326358813085 652717626170 1305435252340