Search a number
-
+
4220021131000 = 23537953417989
BaseRepresentation
bin111101011010001100110…
…111000100011011111000
3112221102121112021012221221
4331122030313010123320
51023120100402143000
612550352334241424
7613613025523333
oct75321467043370
915842545235857
104220021131000
111387778a04924
12581a50656274
13247c3bcb068c
1410837044761a
1574b8be7161a
hex3d68cdc46f8

4220021131000 has 64 divisors (see below), whose sum is σ = 9999847728000. Its totient is φ = 1666641225600.

The previous prime is 4220021130977. The next prime is 4220021131003. The reversal of 4220021131000 is 1311200224.

It is a super-2 number, since 2×42200211310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220021131003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26629995 + ... + 26787994.

It is an arithmetic number, because the mean of its divisors is an integer number (156247620750).

Almost surely, 24220021131000 is an apocalyptic number.

4220021131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220021131000 is an abundant number, since it is smaller than the sum of its proper divisors (5779826597000).

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

4220021131000 is a wasteful number, since it uses less digits than its factorization.

4220021131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53418089 (or 53418075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4220021131000 its reverse (1311200224), we get a palindrome (4221332331224).

The spelling of 4220021131000 in words is "four trillion, two hundred twenty billion, twenty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 53417989 106835978 213671956 267089945 427343912 534179890 1068359780 1335449725 2136719560 2670899450 4220021131 5341798900 6677248625 8440042262 10683597800 13354497250 16880084524 21100105655 26708994500 33760169048 42200211310 53417989000 84400422620 105500528275 168800845240 211001056550 422002113100 527502641375 844004226200 1055005282750 2110010565500 4220021131000