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10514324410332 = 22317315033305381
BaseRepresentation
bin1001100100000000111010…
…0100100100111111011100
31101020011022100100101221220
42121000032210210333130
52334231314022112312
634210114114053340
72133430521610131
oct231001644447734
941204270311856
1010514324410332
113394111026a66
1212198b5b7a250
135b365bb7b932
14284c78954588
1513377d3dac8c
hex9900e924fdc

10514324410332 has 96 divisors (see below), whose sum is σ = 26867837251584. Its totient is φ = 3185857459200.

The previous prime is 10514324410321. The next prime is 10514324410361. The reversal of 10514324410332 is 23301442341501.

It is a super-2 number, since 2×105143244103322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10514324410293 and 10514324410302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528282 + ... + 4833662.

It is an arithmetic number, because the mean of its divisors is an integer number (279873304704).

Almost surely, 210514324410332 is an apocalyptic number.

10514324410332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514324410332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433918625792).

10514324410332 is an abundant number, since it is smaller than the sum of its proper divisors (16353512841252).

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

10514324410332 is a wasteful number, since it uses less digits than its factorization.

10514324410332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305939 (or 3305937 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10514324410332 its reverse (23301442341501), we get a palindrome (33815766751833).

The spelling of 10514324410332 in words is "ten trillion, five hundred fourteen billion, three hundred twenty-four million, four hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 503 527 1006 1054 1509 1581 2012 2108 3018 3162 6036 6324 8551 15593 17102 25653 31186 34204 46779 51306 62372 93558 102612 187116 265081 530162 795243 1060324 1590486 3180972 3305381 6610762 9916143 13221524 19832286 39664572 56191477 102466811 112382954 168574431 204933622 224765908 307400433 337148862 409867244 614800866 674297724 1229601732 1662606643 1741935787 3325213286 3483871574 4987819929 5225807361 6650426572 6967743148 9975639858 10451614722 19951279716 20903229444 28264312931 51540805933 56528625862 84792938793 103081611866 113057251724 154622417799 169585877586 206163223732 309244835598 339171755172 618489671196 876193700861 1752387401722 2628581102583 3504774803444 5257162205166 10514324410332