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4100433020120 = 2351714249423191
BaseRepresentation
bin111011101010110100110…
…110101000010011011000
3112111222221020010202010002
4323222310312220103120
51014140141323120440
612415413554112132
7602150360411003
oct73526466502330
915458836122102
104100433020120
111340a905a6138
1256283687b648
1323989123b2a8
14102667abc53a
15719dd22c115
hex3bab4da84d8

4100433020120 has 64 divisors (see below), whose sum is σ = 9769387320000. Its totient is φ = 1543580446720.

The previous prime is 4100433020113. The next prime is 4100433020129. The reversal of 4100433020120 is 210203340014.

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

It is a junction number, because it is equal to n+sod(n) for n = 4100433020092 and 4100433020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100433020129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9477725 + ... + 9900915.

It is an arithmetic number, because the mean of its divisors is an integer number (152646676875).

Almost surely, 24100433020120 is an apocalyptic number.

4100433020120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100433020120 is an abundant number, since it is smaller than the sum of its proper divisors (5668954299880).

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

4100433020120 is a wasteful number, since it uses less digits than its factorization.

4100433020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437468 (or 437464 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4100433020120 its reverse (210203340014), we get a palindrome (4310636360134).

The spelling of 4100433020120 in words is "four trillion, one hundred billion, four hundred thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14249 28498 56996 71245 113992 142490 242233 284980 423191 484466 569960 846382 968932 1211165 1692764 1937864 2115955 2422330 3385528 4231910 4844660 7194247 8463820 9689320 14388494 16927640 28776988 35971235 57553976 71942470 143884940 287769880 6030048559 12060097118 24120194236 30150242795 48240388472 60300485590 102510825503 120600971180 205021651006 241201942360 410043302012 512554127515 820086604024 1025108255030 2050216510060 4100433020120