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10541020104 = 2333349139831
BaseRepresentation
bin10011101000100101…
…10011001111001000
31000012121210022012000
421310102303033020
5133042000120404
64501550351000
7522134123016
oct116422631710
930177708160
1010541020104
11451a14946a
1220621bb460
13cbcb05504
1471dd558b6
1541a62a339
hex2744b33c8

10541020104 has 64 divisors (see below), whose sum is σ = 29364720000. Its totient is φ = 3503580480.

The previous prime is 10541020099. The next prime is 10541020109. The reversal of 10541020104 is 40102014501.

10541020104 is a `hidden beast` number, since 1 + 0 + 541 + 0 + 20 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (10541020099) and next prime (10541020109).

It is a super-2 number, since 2×105410201042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10541020109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469 + ... + 145299.

It is an arithmetic number, because the mean of its divisors is an integer number (458823750).

Almost surely, 210541020104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682360000).

10541020104 is an abundant number, since it is smaller than the sum of its proper divisors (18823699896).

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

10541020104 is a wasteful number, since it uses less digits than its factorization.

10541020104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140195 (or 140185 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10541020104 its reverse (40102014501), we get a palindrome (50643034605).

The spelling of 10541020104 in words is "ten billion, five hundred forty-one million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 349 698 1047 1396 2094 2792 3141 4188 6282 8376 9423 12564 18846 25128 37692 75384 139831 279662 419493 559324 838986 1118648 1258479 1677972 2516958 3355944 3775437 5033916 7550874 10067832 15101748 30203496 48801019 97602038 146403057 195204076 292806114 390408152 439209171 585612228 878418342 1171224456 1317627513 1756836684 2635255026 3513673368 5270510052 10541020104