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4022012010420 = 22325109492040781
BaseRepresentation
bin111010100001110010100…
…110001101111110110100
3112020111111221011200121100
4322201302212031332310
51011344040033313140
612315404203450100
7563403131003445
oct72416246157664
915214457150540
104022012010420
1113107a8a20918
1254b5ab826930
13232374294381
14dc9489292cc
156e94d6ac530
hex3a87298dfb4

4022012010420 has 72 divisors (see below), whose sum is σ = 12201223343400. Its totient is φ = 1072438053120.

The previous prime is 4022012010403. The next prime is 4022012010449. The reversal of 4022012010420 is 240102102204.

4022012010420 is a `hidden beast` number, since 4 + 0 + 220 + 1 + 20 + 1 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11621271204 + 4010390739216 = 107802^2 + 2002596^2 .

It is a super-2 number, since 2×40220120104202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4022012010393 and 4022012010402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950430 + ... + 2991210.

It is an arithmetic number, because the mean of its divisors is an integer number (169461435325).

Almost surely, 24022012010420 is an apocalyptic number.

It is an amenable number.

4022012010420 is an abundant number, since it is smaller than the sum of its proper divisors (8179211332980).

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

4022012010420 is a wasteful number, since it uses less digits than its factorization.

4022012010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051745 (or 2051740 counting only the distinct ones).

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

Adding to 4022012010420 its reverse (240102102204), we get a palindrome (4262114112624).

The spelling of 4022012010420 in words is "four trillion, twenty-two billion, twelve million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10949 21898 32847 43796 54745 65694 98541 109490 131388 164235 197082 218980 328470 394164 492705 656940 985410 1970820 2040781 4081562 6122343 8163124 10203905 12244686 18367029 20407810 24489372 30611715 36734058 40815620 61223430 73468116 91835145 122446860 183670290 367340580 22344511169 44689022338 67033533507 89378044676 111722555845 134067067014 201100600521 223445111690 268134134028 335167667535 402201201042 446890223380 670335335070 804402402084 1005503002605 1340670670140 2011006005210 4022012010420