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20244410100 = 22325241548629
BaseRepresentation
bin10010110110101010…
…010010111011110100
31221020212102120212200
4102312222102323310
5312430032110400
613144455544500
71314450434535
oct226652227364
957225376780
1020244410100
118649494a42
123b0b98b130
131ba8210bb5
14da094868c
157d7448b00
hex4b6a92ef4

20244410100 has 108 divisors (see below), whose sum is σ = 65002779660. Its totient is φ = 5266828800.

The previous prime is 20244410071. The next prime is 20244410107. The reversal of 20244410100 is 101444202.

20244410100 is a `hidden beast` number, since 2 + 0 + 244 + 410 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8880423696 + 11363986404 = 94236^2 + 106602^2 .

It is a super-2 number, since 2×202444101002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20244410107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 237415 + ... + 311214.

Almost surely, 220244410100 is an apocalyptic number.

20244410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20244410100 is an abundant number, since it is smaller than the sum of its proper divisors (44758369560).

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

20244410100 is a wasteful number, since it uses less digits than its factorization.

20244410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548690 (or 548680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20244410100 its reverse (101444202), we get a palindrome (20345854302).

The spelling of 20244410100 in words is "twenty billion, two hundred forty-four million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 548629 1097258 1645887 2194516 2743145 3291774 4937661 5486290 6583548 8229435 9875322 10972580 13715725 16458870 19750644 22493789 24688305 27431450 32917740 41147175 44987578 49376610 54862900 67481367 82294350 89975156 98753220 112468945 123441525 134962734 164588700 202444101 224937890 246883050 269925468 337406835 404888202 449875780 493766100 562344725 674813670 809776404 1012220505 1124689450 1349627340 1687034175 2024441010 2249378900 3374068350 4048882020 5061102525 6748136700 10122205050 20244410100