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10540104124 = 22117310331859
BaseRepresentation
bin10011101000011110…
…10011100110111100
31000012120001202200211
421310033103212330
5133041231312444
64501515002204
7522123256354
oct116417234674
930176052624
1010540104124
114519683260
122061a39364
13cbc874604
1471db97b64
1541a4e8c34
hex2743d39bc

10540104124 has 48 divisors (see below), whose sum is σ = 20596343040. Its totient is φ = 4679303040.

The previous prime is 10540104109. The next prime is 10540104139. The reversal of 10540104124 is 42140104501.

It is an interprime number because it is at equal distance from previous prime (10540104109) and next prime (10540104139).

It is a super-2 number, since 2×105401041242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10540104095 and 10540104104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 314907 + ... + 346765.

It is an arithmetic number, because the mean of its divisors is an integer number (429090480).

Almost surely, 210540104124 is an apocalyptic number.

It is an amenable number.

10540104124 is a deficient number, since it is larger than the sum of its proper divisors (10056238916).

10540104124 is a wasteful number, since it uses less digits than its factorization.

10540104124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050 (or 32048 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10540104124 its reverse (42140104501), we get a palindrome (52680208625).

The spelling of 10540104124 in words is "ten billion, five hundred forty million, one hundred four thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 73 103 146 206 292 412 803 1133 1606 2266 3212 4532 7519 15038 30076 31859 63718 82709 127436 165418 330836 350449 700898 1401796 2325707 3281477 4651414 6562954 9302828 13125908 25582777 36096247 51165554 72192494 102331108 144384988 239547821 479095642 958191284 2635026031 5270052062 10540104124