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21240098177980 = 225114191231187181
BaseRepresentation
bin1001101010001010110001…
…00000011100001110111100
32210012112101221222010000011
410311011120200130032330
510240444210113143410
6113101322201513004
74321355301431623
oct465053040341674
983175357863004
1021240098177980
1168499697697a0
122470581aa2764
13bb0c180a7376
14536051dcc6ba
1526c784e9d18a
hex13515881c3bc

21240098177980 has 96 divisors (see below), whose sum is σ = 48815148856320. Its totient is φ = 7698938016000.

The previous prime is 21240098177959. The next prime is 21240098178001. The reversal of 21240098177980 is 8977189004212.

It is an interprime number because it is at equal distance from previous prime (21240098177959) and next prime (21240098178001).

It is a super-2 number, since 2×212400981779802 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113379990 + ... + 113567170.

It is an arithmetic number, because the mean of its divisors is an integer number (508491133920).

Almost surely, 221240098177980 is an apocalyptic number.

21240098177980 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 21240098177980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407574428160).

21240098177980 is an abundant number, since it is smaller than the sum of its proper divisors (27575050678340).

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

21240098177980 is a wasteful number, since it uses less digits than its factorization.

21240098177980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188851 (or 188849 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 58.

The spelling of 21240098177980 in words is "twenty-one trillion, two hundred forty billion, ninety-eight million, one hundred seventy-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1231 1676 2095 2462 4190 4609 4924 6155 8380 9218 12310 13541 18436 23045 24620 27082 46090 54164 67705 92180 135410 187181 270820 374362 515789 748724 935905 1031578 1871810 2058991 2063156 2578945 3743620 4117982 5157890 5673679 8235964 10294955 10315780 11347358 20589910 22694716 28368395 41179820 56736790 78428839 113473580 156857678 230419811 313715356 392144195 460839622 784288390 862717229 921679244 1152099055 1568576780 1725434458 2304198110 2534617921 3450868916 4313586145 4608396220 5069235842 8627172290 10138471684 12673089605 17254344580 25346179210 50692358420 96545900809 193091801618 386183603236 482729504045 965459008090 1062004908899 1930918016180 2124009817798 4248019635596 5310024544495 10620049088990 21240098177980