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2044100124 = 2234114712203
BaseRepresentation
bin111100111010110…
…0111111000011100
312021110100001020000
41321311213320130
513141242200444
6534500054300
7101440364403
oct17165477034
95243301200
102044100124
11959928750
12490694390
13267648201
1415569863a
15be6c4469
hex79d67e1c

2044100124 has 120 divisors (see below), whose sum is σ = 5953989888. Its totient is φ = 606195360.

The previous prime is 2044100101. The next prime is 2044100147. The reversal of 2044100124 is 4210014402.

It is an interprime number because it is at equal distance from previous prime (2044100101) and next prime (2044100147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2044100097 and 2044100106.

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 39 ways as a sum of consecutive naturals, for example, 161407 + ... + 173609.

Almost surely, 22044100124 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 2044100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976994944).

2044100124 is an abundant number, since it is smaller than the sum of its proper divisors (3909889764).

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

2044100124 is a wasteful number, since it uses less digits than its factorization.

2044100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2044100124 is about 45211.7255145167. The cubic root of 2044100124 is about 1269.1142529124.

Adding to 2044100124 its reverse (4210014402), we get a palindrome (6254114526).

It can be divided in two parts, 20 and 44100124, that added together give a palindrome (44100144).

The spelling of 2044100124 in words is "two billion, forty-four million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 81 94 99 108 132 141 162 188 198 282 297 324 396 423 517 564 594 846 891 1034 1188 1269 1551 1692 1782 2068 2538 3102 3564 3807 4653 5076 6204 7614 9306 12203 13959 15228 18612 24406 27918 36609 41877 48812 55836 73218 83754 109827 134233 146436 167508 219654 268466 329481 402699 439308 536932 573541 658962 805398 988443 1147082 1208097 1317924 1610796 1720623 1976886 2294164 2416194 3441246 3624291 3953772 4832388 5161869 6308951 6882492 7248582 10323738 10872873 12617902 14497164 15485607 18926853 20647476 21745746 25235804 30971214 37853706 43491492 46456821 56780559 61942428 75707412 92913642 113561118 170341677 185827284 227122236 340683354 511025031 681366708 1022050062 2044100124