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10412142312319 = 1161118714279161
BaseRepresentation
bin1001011110000100010000…
…0010110011101101111111
31100212101120002200222222021
42113201010002303231333
52331043031412443234
634051134441101011
72123152410242626
oct227410402635577
940771502628867
1010412142312319
113354845989380
121201b39487767
135a6b26268047
1427dd43b966bd
15130c9c81d9b4
hex978440b3b7f

10412142312319 has 32 divisors (see below), whose sum is σ = 11563994356992. Its totient is φ = 9295033056000.

The previous prime is 10412142312287. The next prime is 10412142312329. The reversal of 10412142312319 is 91321324121401.

It is a cyclic number.

It is not a de Polignac number, because 10412142312319 - 25 = 10412142312287 is a prime.

It is a super-2 number, since 2×104121423123192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412142312329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136568099 + ... + 1136577259.

It is an arithmetic number, because the mean of its divisors is an integer number (361374823656).

Almost surely, 210412142312319 is an apocalyptic number.

10412142312319 is a deficient number, since it is larger than the sum of its proper divisors (1151852044673).

10412142312319 is a wasteful number, since it uses less digits than its factorization.

10412142312319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847.

The product of its (nonzero) digits is 10368, while the sum is 34.

It can be divided in two parts, 1041214 and 2312319, that added together give a palindrome (3353533).

The spelling of 10412142312319 in words is "ten trillion, four hundred twelve billion, one hundred forty-two million, three hundred twelve thousand, three hundred nineteen".

Divisors: 1 11 61 671 1187 1427 9161 13057 15697 72407 87047 100771 558821 796477 957517 1693849 6147031 10874107 13072747 18632339 103324789 119615177 143800217 663320527 797437567 1136572679 7296525797 8771813237 15517350689 170690857579 946558392029 10412142312319