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244121321100 = 223521914918677
BaseRepresentation
bin1110001101011011000…
…0111011111010001100
3212100010020100000201010
43203112300323322030
512444430024233400
6304051531045220
723431360664136
oct3432660737214
9770106300633
10244121321100
1194593137838
123b38b8a0810
131a036190477
14bb5bb84056
15653bb98450
hex38d6c3be8c

244121321100 has 144 divisors (see below), whose sum is σ = 711550457856. Its totient is φ = 64618848000.

The previous prime is 244121321089. The next prime is 244121321111. The reversal of 244121321100 is 1123121442.

It is an interprime number because it is at equal distance from previous prime (244121321089) and next prime (244121321111).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28129962 + ... + 28138638.

It is an arithmetic number, because the mean of its divisors is an integer number (4941322624).

Almost surely, 2244121321100 is an apocalyptic number.

244121321100 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 244121321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355775228928).

244121321100 is an abundant number, since it is smaller than the sum of its proper divisors (467429136756).

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

244121321100 is a wasteful number, since it uses less digits than its factorization.

244121321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 244121321100 its reverse (1123121442), we get a palindrome (245244442542).

The spelling of 244121321100 in words is "two hundred forty-four billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 491 573 764 955 982 1146 1473 1910 1964 2292 2455 2865 2946 3820 4775 4910 5730 5892 7365 8677 9550 9820 11460 12275 14325 14730 17354 19100 24550 26031 28650 29460 34708 36825 43385 49100 52062 57300 73650 86770 93781 104124 130155 147300 173540 187562 216925 260310 281343 375124 433850 468905 520620 562686 650775 867700 937810 1125372 1301550 1406715 1657307 1875620 2344525 2603100 2813430 3314614 4260407 4689050 4971921 5626860 6629228 7033575 8286535 8520814 9378100 9943842 12781221 14067150 16573070 17041628 19887684 21302035 24859605 25562442 28134300 33146140 41432675 42604070 49719210 51124884 63906105 82865350 85208140 99438420 106510175 124298025 127812210 165730700 213020350 248596050 255624420 319530525 426040700 497192100 639061050 813737737 1278122100 1627475474 2441213211 3254950948 4068688685 4882426422 8137377370 9764852844 12206066055 16274754740 20343443425 24412132110 40686886850 48824264220 61030330275 81373773700 122060660550 244121321100