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20441132100 = 22325283273643
BaseRepresentation
bin10011000010011000…
…101110110001000100
31221202120121002201200
4103002120232301010
5313330412211400
613220204222500
71322356520214
oct230230566104
957676532650
1020441132100
11873a539104
123b6583aa30
131c09bbb14c
14dbcb16244
157e9856b00
hex4c262ec44

20441132100 has 108 divisors (see below), whose sum is σ = 64843776816. Its totient is φ = 5385274560.

The previous prime is 20441132093. The next prime is 20441132123. The reversal of 20441132100 is 123114402.

20441132100 is a `hidden beast` number, since 2 + 0 + 441 + 13 + 210 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62122 + ... + 211521.

Almost surely, 220441132100 is an apocalyptic number.

20441132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441132100 is an abundant number, since it is smaller than the sum of its proper divisors (44402644716).

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

20441132100 is a wasteful number, since it uses less digits than its factorization.

20441132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273746 (or 273736 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20441132100 its reverse (123114402), we get a palindrome (20564246502).

The spelling of 20441132100 in words is "twenty billion, four hundred forty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 37350 74700 273643 547286 820929 1094572 1368215 1641858 2462787 2736430 3283716 4104645 4925574 5472860 6841075 8209290 9851148 12313935 13682150 16418580 20523225 22712369 24627870 27364300 41046450 45424738 49255740 61569675 68137107 82092900 90849476 113561845 123139350 136274214 204411321 227123690 246278700 272548428 340685535 408822642 454247380 567809225 681371070 817645284 1022056605 1135618450 1362742140 1703427675 2044113210 2271236900 3406855350 4088226420 5110283025 6813710700 10220566050 20441132100