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1044000432100 = 225229360000149
BaseRepresentation
bin11110011000100110100…
…01100101111111100100
310200210202011222222011101
433030103101211333210
5114101103102311400
62115335052245444
7135266206153123
oct17142321457744
93623664888141
101044000432100
1137283803286a
1214a401770884
13775ab091392
143875c03baba
151c25455b56a
hexf313465fe4

1044000432100 has 36 divisors (see below), whose sum is σ = 2343600976500. Its totient is φ = 403200165760.

The previous prime is 1044000432089. The next prime is 1044000432107. The reversal of 1044000432100 is 12340004401.

It can be written as a sum of positive squares in 6 ways, for example, as 147861782784 + 896138649316 = 384528^2 + 946646^2 .

It is not an unprimeable number, because it can be changed into a prime (1044000432107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179997175 + ... + 180002974.

It is an arithmetic number, because the mean of its divisors is an integer number (65100027125).

Almost surely, 21044000432100 is an apocalyptic number.

1044000432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044000432100 is an abundant number, since it is smaller than the sum of its proper divisors (1299600544400).

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

1044000432100 is a wasteful number, since it uses less digits than its factorization.

1044000432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360000192 (or 360000185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1044000432100 its reverse (12340004401), we get a palindrome (1056340436501).

The spelling of 1044000432100 in words is "one trillion, forty-four billion, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 360000149 720000298 1440000596 1800000745 3600001490 7200002980 9000003725 10440004321 18000007450 20880008642 36000014900 41760017284 52200021605 104400043210 208800086420 261000108025 522000216050 1044000432100