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4101220000 = 2554474363
BaseRepresentation
bin1111010001110011…
…1010011010100000
3101120211011120012001
43310130322122200
531344403020000
61514543213344
7203426536423
oct36434723240
911524146161
104101220000
111815039319
129655a7254
135048a15c7
142ac9819ba
151900bb46a
hexf473a6a0

4101220000 has 120 divisors (see below), whose sum is σ = 10306650816. Its totient is φ = 1605216000.

The previous prime is 4101219973. The next prime is 4101220001. The reversal of 4101220000 is 221014.

4101220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4101220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 937819 + ... + 942181.

Almost surely, 24101220000 is an apocalyptic number.

4101220000 is a gapful number since it is divisible by the number (40) 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 4101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153325408).

4101220000 is an abundant number, since it is smaller than the sum of its proper divisors (6205430816).

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

4101220000 is an equidigital number, since it uses as much as digits as its factorization.

4101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4101220000 is about 64040.7682652231. The cubic root of 4101220000 is about 1600.6793989698.

Adding to 4101220000 its reverse (221014), we get a palindrome (4101441014).

The spelling of 4101220000 in words is "four billion, one hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4363 4700 5000 5875 7520 8726 9400 10000 11750 17452 18800 20000 21815 23500 29375 34904 37600 43630 47000 58750 69808 87260 94000 109075 117500 139616 174520 188000 205061 218150 235000 349040 410122 436300 470000 545375 698080 820244 872600 940000 1025305 1090750 1640488 1745200 2050610 2181500 2726875 3280976 3490400 4101220 4363000 5126525 5453750 6561952 8202440 8726000 10253050 10907500 16404880 17452000 20506100 21815000 25632625 32809760 41012200 43630000 51265250 82024400 87260000 102530500 128163125 164048800 205061000 256326250 410122000 512652500 820244000 1025305000 2050610000 4101220000