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2441124132100 = 225226990748109
BaseRepresentation
bin100011100001011110010…
…101100011010100000100
322122100222010201120210121
4203201132111203110010
5304443410234211400
65105234214031324
7341236221521653
oct43413625432404
98570863646717
102441124132100
11861302a29315
12335133648544
13149273b04a94
148621864119a
1543774e0e21a
hex2385e563504

2441124132100 has 36 divisors (see below), whose sum is σ = 5316931764900. Its totient is φ = 972819717760.

The previous prime is 2441124132001. The next prime is 2441124132127. The reversal of 2441124132100 is 12314211442.

It can be written as a sum of positive squares in 6 ways, for example, as 62132541696 + 2378991590404 = 249264^2 + 1542398^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45347155 + ... + 45400954.

It is an arithmetic number, because the mean of its divisors is an integer number (147692549025).

Almost surely, 22441124132100 is an apocalyptic number.

2441124132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441124132100 is an abundant number, since it is smaller than the sum of its proper divisors (2875807632800).

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

2441124132100 is a wasteful number, since it uses less digits than its factorization.

2441124132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90748392 (or 90748385 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2441124132100 its reverse (12314211442), we get a palindrome (2453438343542).

The spelling of 2441124132100 in words is "two trillion, four hundred forty-one billion, one hundred twenty-four million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 269 538 1076 1345 2690 5380 6725 13450 26900 90748109 181496218 362992436 453740545 907481090 1814962180 2268702725 4537405450 9074810900 24411241321 48822482642 97644965284 122056206605 244112413210 488224826420 610281033025 1220562066050 2441124132100