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21310121201100 = 22352463911168409
BaseRepresentation
bin1001101100001101001100…
…01101000100110111001100
32210110020010222122020122220
410312012212031010313030
510243121112011413400
6113153422354135340
74326414445341234
oct466064615046714
983406128566586
1021310121201100
116876631956436
122482064581550
13bb76c7223164
145395b5ab8cc4
1526e4d260a7a0
hex1361a6344dcc

21310121201100 has 144 divisors (see below), whose sum is σ = 61858647459840. Its totient is φ = 5664167308800.

The previous prime is 21310121201077. The next prime is 21310121201111. The reversal of 21310121201100 is 110212101312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21310121201100.

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, 126453696 + ... + 126622104.

Almost surely, 221310121201100 is an apocalyptic number.

21310121201100 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 21310121201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30929323729920).

21310121201100 is an abundant number, since it is smaller than the sum of its proper divisors (40548526258740).

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

21310121201100 is a wasteful number, since it uses less digits than its factorization.

21310121201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169800 (or 169793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21310121201100 its reverse (110212101312), we get a palindrome (21420333302412).

The spelling of 21310121201100 in words is "twenty-one trillion, three hundred ten billion, one hundred twenty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 463 911 926 1389 1822 1852 2315 2733 2778 3644 4555 4630 5466 5556 6945 9110 9260 10932 11575 13665 13890 18220 22775 23150 27330 27780 34725 45550 46300 54660 68325 69450 91100 136650 138900 168409 273300 336818 421793 505227 673636 842045 843586 1010454 1265379 1684090 1687172 2020908 2108965 2526135 2530758 3368180 4210225 4217930 5052270 5061516 6326895 8420450 8435860 10104540 10544825 12630675 12653790 16840900 21089650 25261350 25307580 31634475 42179300 50522700 63268950 77973367 126537900 153420599 155946734 233920101 306841198 311893468 389866835 460261797 467840202 613682396 767102995 779733670 920523594 935680404 1169600505 1534205990 1559467340 1841047188 1949334175 2301308985 2339201010 3068411980 3835514975 3898668350 4602617970 4678402020 5848002525 7671029950 7797336700 9205235940 11506544925 11696005050 15342059900 23013089850 23392010100 46026179700 71033737337 142067474674 213101212011 284134949348 355168686685 426202424022 710337373370 852404848044 1065506060055 1420674746740 1775843433425 2131012120110 3551686866850 4262024240220 5327530300275 7103373733700 10655060600550 21310121201100