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10221222314000 = 245315136792221
BaseRepresentation
bin1001010010111101000001…
…0100110100000000010000
31100012010202120001012011102
42110233100110310000100
52314431030403022000
633423321551003532
72103313263111005
oct224572024640020
940163676035142
1010221222314000
1132908835908a5
121190b368095a8
13591b1b15a239
142749d19938ac
1512ad265ca3d5
hex94bd0534010

10221222314000 has 160 divisors (see below), whose sum is σ = 24946650074112. Its totient is φ = 4050302400000.

The previous prime is 10221222313957. The next prime is 10221222314011. The reversal of 10221222314000 is 41322212201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 110787890 + ... + 110880110.

Almost surely, 210221222314000 is an apocalyptic number.

10221222314000 is a gapful number since it is divisible by the number (10) 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 10221222314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473325037056).

10221222314000 is an abundant number, since it is smaller than the sum of its proper divisors (14725427760112).

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

10221222314000 is a wasteful number, since it uses less digits than its factorization.

10221222314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92762 (or 92746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10221222314000 its reverse (41322212201), we get a palindrome (10262544526201).

The spelling of 10221222314000 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 367 400 500 604 734 755 1000 1208 1468 1510 1835 2000 2416 2936 3020 3670 3775 5872 6040 7340 7550 9175 12080 14680 15100 18350 18875 29360 30200 36700 37750 45875 55417 60400 73400 75500 91750 92221 110834 146800 151000 183500 184442 221668 277085 302000 367000 368884 443336 461105 554170 734000 737768 886672 922210 1108340 1385425 1475536 1844420 2216680 2305525 2770850 3688840 4433360 4611050 5541700 6927125 7377680 9222100 11083400 11527625 13854250 13925371 18444200 22166800 23055250 27708500 27850742 33845107 36888400 46110500 55417000 55701484 67690214 69626855 92221000 110834000 111402968 135380428 139253710 169225535 184442000 222805936 270760856 278507420 338451070 348134275 541521712 557014840 676902140 696268550 846127675 1114029680 1353804280 1392537100 1692255350 1740671375 2707608560 2785074200 3384510700 3481342750 4230638375 5110611157 5570148400 6769021400 6962685500 8461276750 10221222314 13538042800 13925371000 16922553500 20442444628 25553055785 27850742000 33845107000 40884889256 51106111570 67690214000 81769778512 102212223140 127765278925 204424446280 255530557850 408848892560 511061115700 638826394625 1022122231400 1277652789250 2044244462800 2555305578500 5110611157000 10221222314000