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4121143100 = 22523110871223
BaseRepresentation
bin1111010110100011…
…1010011100111100
3101122012122202112122
43311220322130330
531420003034400
61520534222112
7204061065314
oct36550723474
911565582478
104121143100
111825306898
129701b4938
13508a58a19
142b148a444
15191c04685
hexf5a3a73c

4121143100 has 72 divisors (see below), whose sum is σ = 9247408128. Its totient is φ = 1592510400.

The previous prime is 4121143087. The next prime is 4121143123. The reversal of 4121143100 is 13411214.

It is a happy number.

It is a super-2 number, since 2×41211431002 = 33967640901355220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3369089 + ... + 3370311.

It is an arithmetic number, because the mean of its divisors is an integer number (128436224).

Almost surely, 24121143100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623704064).

4121143100 is an abundant number, since it is smaller than the sum of its proper divisors (5126265028).

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

4121143100 is a wasteful number, since it uses less digits than its factorization.

4121143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4121143100 is about 64196.1299456595. The cubic root of 4121143100 is about 1603.2671651249.

Adding to 4121143100 its reverse (13411214), we get a palindrome (4134554314).

The spelling of 4121143100 in words is "four billion, one hundred twenty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1087 1223 1550 2174 2446 3100 4348 4892 5435 6115 10870 12230 21740 24460 27175 30575 33697 37913 54350 61150 67394 75826 108700 122300 134788 151652 168485 189565 336970 379130 673940 758260 842425 947825 1329401 1684850 1895650 2658802 3369700 3791300 5317604 6647005 13294010 26588020 33235025 41211431 66470050 82422862 132940100 164845724 206057155 412114310 824228620 1030285775 2060571550 4121143100