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10305141235431 = 371801516752733
BaseRepresentation
bin1001010111110101101001…
…0010000101111011100111
31100111011101000022002201120
42111331122102011323213
52322314412124013211
633530041100425023
72112344002141350
oct225753222057347
940434330262646
1010305141235431
113313427633619
1211a5256b48173
13599a03166473
14278ab2db8d27
1512d0d8b55d06
hex95f5a485ee7

10305141235431 has 32 divisors (see below), whose sum is σ = 15715130247168. Its totient is φ = 5884131859200.

The previous prime is 10305141235409. The next prime is 10305141235453. The reversal of 10305141235431 is 13453214150301.

It is an interprime number because it is at equal distance from previous prime (10305141235409) and next prime (10305141235453).

It is not a de Polignac number, because 10305141235431 - 225 = 10305107680999 is a prime.

It is a super-2 number, since 2×103051412354312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10305141235392 and 10305141235401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305141235031) 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, 195394741 + ... + 195447473.

It is an arithmetic number, because the mean of its divisors is an integer number (491097820224).

Almost surely, 210305141235431 is an apocalyptic number.

10305141235431 is a deficient number, since it is larger than the sum of its proper divisors (5409989011737).

10305141235431 is a wasteful number, since it uses less digits than its factorization.

10305141235431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59711.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10305141235431 its reverse (13453214150301), we get a palindrome (23758355385732).

The spelling of 10305141235431 in words is "ten trillion, three hundred five billion, one hundred forty-one million, two hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 21 1801 5167 5403 12607 15501 36169 37821 52733 108507 158199 369131 1107393 9305767 27917301 65140369 94972133 195421107 272471411 284916399 664804931 817414233 1907299877 1994414793 5721899631 490721011211 1472163033633 3435047078477 10305141235431