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10225304115120 = 2432517835400663
BaseRepresentation
bin1001010011001100001110…
…0111101001011110110000
31100012112022000200011122200
42110303003213221132300
52320012410323140440
633425235002103200
72103516365621553
oct224630347513660
940175260604580
1010225304115120
113292588666456
1211918957aab00
1359231b9bca83
14274c9bb1c69a
1512aeb4b0cc30
hex94cc39e97b0

10225304115120 has 120 divisors (see below), whose sum is σ = 36359978499936. Its totient is φ = 2566350833664.

The previous prime is 10225304114939. The next prime is 10225304115179. The reversal of 10225304115120 is 2151140352201.

It is a happy number.

10225304115120 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 530 + 4 + 1 + 1 + 5 + 120 = 666.

10225304115120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102253041151202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417688092 + ... + 417712571.

Almost surely, 210225304115120 is an apocalyptic number.

10225304115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225304115120 is an abundant number, since it is smaller than the sum of its proper divisors (26134674384816).

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

10225304115120 is a wasteful number, since it uses less digits than its factorization.

10225304115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835400699 (or 835400690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10225304115120 its reverse (2151140352201), we get a palindrome (12376444467321).

The spelling of 10225304115120 in words is "ten trillion, two hundred twenty-five billion, three hundred four million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 835400663 1670801326 2506201989 3341602652 4177003315 5012403978 6683205304 7518605967 8354006630 10024807956 12531009945 13366410608 14201811271 15037211934 16708013260 20049615912 25062019890 28403622542 30074423868 33416026520 37593029835 40099231824 42605433813 50124039780 56807245084 60148847736 66832053040 71009056355 75186059670 85210867626 100248079560 113614490168 120297695472 127816301439 142018112710 150372119340 170421735252 200496159120 213027169065 227228980336 255632602878 284036225420 300744238680 340843470504 426054338130 511265205756 568072450840 601488477360 639081507195 681686941008 852108676260 1022530411512 1136144901680 1278163014390 1704217352520 2045060823024 2556326028780 3408434705040 5112652057560 10225304115120