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2441134112100 = 2235265633123979
BaseRepresentation
bin100011100001011110111…
…011100111110101100100
322122100222211111121210020
4203201132323213311210
5304443420313041400
65105235211555140
7341236402406115
oct43413673476544
98570884447706
102441134112100
11861308625452
12335136a5bab0
13149275bba4c8
1486219abc20c
1543775c312a0
hex2385eee7d64

2441134112100 has 72 divisors (see below), whose sum is σ = 7063179281760. Its totient is φ = 650953927680.

The previous prime is 2441134112093. The next prime is 2441134112107. The reversal of 2441134112100 is 12114311442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2441134112093) and next prime (2441134112107).

It is not an unprimeable number, because it can be changed into a prime (2441134112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19627911 + ... + 19751889.

Almost surely, 22441134112100 is an apocalyptic number.

2441134112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441134112100 is an abundant number, since it is smaller than the sum of its proper divisors (4622045169660).

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

2441134112100 is a wasteful number, since it uses less digits than its factorization.

2441134112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189629 (or 189622 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2441134112100 its reverse (12114311442), we get a palindrome (2453248423542).

The spelling of 2441134112100 in words is "two trillion, four hundred forty-one billion, one hundred thirty-four million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 65633 123979 131266 196899 247958 262532 328165 371937 393798 495916 619895 656330 743874 787596 984495 1239790 1312660 1487748 1640825 1859685 1968990 2479580 3099475 3281650 3719370 3937980 4922475 6198950 6563300 7438740 9298425 9844950 12397900 18596850 19689900 37193700 8137113707 16274227414 24411341121 32548454828 40685568535 48822682242 81371137070 97645364484 122056705605 162742274140 203427842675 244113411210 406855685350 488226822420 610283528025 813711370700 1220567056050 2441134112100