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1044124000100 = 225267257606379
BaseRepresentation
bin11110011000110101010…
…00111101111101100100
310200211001210111212120222
433030122220331331210
5114101331221000400
62115355224543512
7135302236364516
oct17143250757544
93624053455528
101044124000100
113728a0861285
1214a437021b98
13775ca86733c
1438770605bb6
151c260319185
hexf31aa3df64

1044124000100 has 72 divisors (see below), whose sum is σ = 2308517766240. Its totient is φ = 409814507520.

The previous prime is 1044124000097. The next prime is 1044124000121. The reversal of 1044124000100 is 10004214401.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1418711 + ... + 2025089.

Almost surely, 21044124000100 is an apocalyptic number.

1044124000100 is a gapful number since it is divisible by the number (10) 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 1044124000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154258883120).

1044124000100 is an abundant number, since it is smaller than the sum of its proper divisors (1264393766140).

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

1044124000100 is a wasteful number, since it uses less digits than its factorization.

1044124000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606717 (or 606710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1044124000100 its reverse (10004214401), we get a palindrome (1054128214501).

The spelling of 1044124000100 in words is "one trillion, forty-four billion, one hundred twenty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 67 100 134 257 268 335 514 670 1028 1285 1340 1675 2570 3350 5140 6425 6700 12850 17219 25700 34438 68876 86095 172190 344380 430475 606379 860950 1212758 1721900 2425516 3031895 6063790 12127580 15159475 30318950 40627393 60637900 81254786 155839403 162509572 203136965 311678806 406273930 623357612 779197015 812547860 1015684825 1558394030 2031369650 3116788060 3895985075 4062739300 7791970150 10441240001 15583940300 20882480002 41764960004 52206200005 104412400010 208824800020 261031000025 522062000050 1044124000100