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2102122044 = 223511421467
BaseRepresentation
bin111110101001011…
…1101011000111100
312102111111212100000
41331102331120330
513301120401134
6544331434300
7103043512461
oct17522753074
95374455300
102102122044
11989658450
124a7bb5990
132766819c9
1415d27d668
15c4835e99
hex7d4bd63c

2102122044 has 144 divisors (see below), whose sum is σ = 6038637696. Its totient is φ = 634132800.

The previous prime is 2102121979. The next prime is 2102122067. The reversal of 2102122044 is 4402212012.

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

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 47 ways as a sum of consecutive naturals, for example, 4501099 + ... + 4501565.

It is an arithmetic number, because the mean of its divisors is an integer number (41934984).

Almost surely, 22102122044 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 2102122044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019318848).

2102122044 is an abundant number, since it is smaller than the sum of its proper divisors (3936515652).

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

2102122044 is a wasteful number, since it uses less digits than its factorization.

2102122044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

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

The square root of 2102122044 is about 45848.9045016345. The cubic root of 2102122044 is about 1281.0103603087.

Adding to 2102122044 its reverse (4402212012), we get a palindrome (6504334056).

The spelling of 2102122044 in words is "two billion, one hundred two million, one hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 421 467 486 594 842 891 934 972 1188 1263 1401 1684 1782 1868 2526 2673 2802 3564 3789 4203 4631 5052 5137 5346 5604 7578 8406 9262 10274 10692 11367 12609 13893 15156 15411 16812 18524 20548 22734 25218 27786 30822 34101 37827 41679 45468 46233 50436 55572 61644 68202 75654 83358 92466 102303 113481 125037 136404 138699 151308 166716 184932 196607 204606 226962 250074 277398 375111 393214 409212 416097 453924 500148 554796 589821 750222 786428 832194 1125333 1179642 1248291 1500444 1664388 1769463 2162677 2250666 2359284 2496582 3538926 4325354 4501332 4993164 5308389 6488031 7077852 8650708 10616778 12976062 15925167 19464093 21233556 25952124 31850334 38928186 47775501 58392279 63700668 77856372 95551002 116784558 175176837 191102004 233569116 350353674 525530511 700707348 1051061022 2102122044