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20441200120 = 23511731016301
BaseRepresentation
bin10011000010011000…
…111111010111111000
31221202120201120000221
4103002120333113320
5313330421400440
613220205505424
71322360222425
oct230230772770
957676646027
1020441200120
11873a585220
123b65872274
131c09c130b3
14dbcb32d4c
157e986bd4a
hex4c263f5f8

20441200120 has 128 divisors (see below), whose sum is σ = 51372895680. Its totient is φ = 7257600000.

The previous prime is 20441200051. The next prime is 20441200177. The reversal of 20441200120 is 2100214402.

It is a junction number, because it is equal to n+sod(n) for n = 20441200094 and 20441200103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3240970 + ... + 3247270.

Almost surely, 220441200120 is an apocalyptic number.

20441200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686447840).

20441200120 is an abundant number, since it is smaller than the sum of its proper divisors (30931695560).

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

20441200120 is a wasteful number, since it uses less digits than its factorization.

20441200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20441200120 its reverse (2100214402), we get a palindrome (22541414522).

The spelling of 20441200120 in words is "twenty billion, four hundred forty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 101 110 146 202 220 292 365 404 440 505 584 730 803 808 1010 1111 1460 1606 2020 2222 2920 3212 4015 4040 4444 5555 6301 6424 7373 8030 8888 11110 12602 14746 16060 22220 25204 29492 31505 32120 36865 44440 50408 58984 63010 69311 73730 81103 126020 138622 147460 162206 252040 277244 294920 324412 346555 405515 459973 554488 636401 648824 693110 811030 919946 1272802 1386220 1622060 1839892 2299865 2545604 2772440 3182005 3244120 3679784 4599730 5059703 5091208 6364010 7000411 9199460 10119406 12728020 14000822 18398920 20238812 25298515 25456040 28001644 35002055 40477624 46457273 50597030 56003288 70004110 92914546 101194060 140008220 185829092 202388120 232286365 280016440 371658184 464572730 511030003 929145460 1022060006 1858290920 2044120012 2555150015 4088240024 5110300030 10220600060 20441200120