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244034021210100 = 223521182338982109
BaseRepresentation
bin110111011111001010011001…
…001001011011011111110100
31012000001102110112011022102120
4313133022121021123133310
5223441223133412210400
62223003403124235540
7102254606353036062
oct6737123111333764
91160042415138376
10244034021210100
117083627a023750
1223453517b3bbb0
13a622403b53a04
14443944995d032
151d32d41904ca0
hexddf29925b7f4

244034021210100 has 144 divisors (see below), whose sum is σ = 770353753995840. Its totient is φ = 59152570444800.

The previous prime is 244034021210081. The next prime is 244034021210167. The reversal of 244034021210100 is 1012120430442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22677846 + ... + 31659954.

Almost surely, 2244034021210100 is an apocalyptic number.

244034021210100 is a gapful number since it is divisible by the number (20) 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 244034021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385176876997920).

244034021210100 is an abundant number, since it is smaller than the sum of its proper divisors (526319732785740).

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

244034021210100 is a wasteful number, since it uses less digits than its factorization.

244034021210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990370 (or 8990363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 244034021210100 its reverse (1012120430442), we get a palindrome (245046141640542).

The spelling of 244034021210100 in words is "two hundred forty-four trillion, thirty-four billion, twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 8233 16466 24699 32932 41165 49398 82330 90563 98796 123495 164660 181126 205825 246990 271689 362252 411650 452815 493980 543378 617475 823300 905630 1086756 1234950 1358445 1811260 2264075 2469900 2716890 4528150 5433780 6792225 8982109 9056300 13584450 17964218 26946327 27168900 35928436 44910545 53892654 89821090 98803199 107785308 134731635 179642180 197606398 224552725 269463270 296409597 395212796 449105450 494015995 538926540 592819194 673658175 898210900 988031990 1185638388 1347316350 1482047985 1976063980 2470079975 2694632700 2964095970 4940159950 5928191940 7410239925 9880319900 14820479850 29640959700 73949703397 147899406794 221849110191 295798813588 369748516985 443698220382 739497033970 813446737367 887396440764 1109245550955 1478994067940 1626893474734 1848742584925 2218491101910 2440340212101 3253786949468 3697485169850 4067233686835 4436982203820 4880680424202 5546227754775 7394970339700 8134467373670 9761360848404 11092455509550 12201701060505 16268934747340 20336168434175 22184911019100 24403402121010 40672336868350 48806804242020 61008505302525 81344673736700 122017010605050 244034021210100