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10540441100 = 2252715057773
BaseRepresentation
bin10011101000100001…
…00101111000001100
31000012120200212221102
421310100211320030
5133041323103400
64501530122232
7522126161660
oct116420457014
930176625842
1010540441100
114519893452
122061b80378
13cbc961ac7
1471dc448a0
1541a5639d5
hex274425e0c

10540441100 has 36 divisors (see below), whose sum is σ = 26140295664. Its totient is φ = 3613865280.

The previous prime is 10540441049. The next prime is 10540441111. The reversal of 10540441100 is 114404501.

It is a super-2 number, since 2×105404411002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7528187 + ... + 7529586.

It is an arithmetic number, because the mean of its divisors is an integer number (726119324).

Almost surely, 210540441100 is an apocalyptic number.

10540441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540441100 is an abundant number, since it is smaller than the sum of its proper divisors (15599854564).

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

10540441100 is a wasteful number, since it uses less digits than its factorization.

10540441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15057794 (or 15057787 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10540441100 its reverse (114404501), we get a palindrome (10654845601).

The spelling of 10540441100 in words is "ten billion, five hundred forty million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 15057773 30115546 60231092 75288865 105404411 150577730 210808822 301155460 376444325 421617644 527022055 752888650 1054044110 1505777300 2108088220 2635110275 5270220550 10540441100