Search a number
-
+
10241234212220 = 22511478091224287
BaseRepresentation
bin1001010100000111100100…
…1000001001010101111100
31100021001102012221221200222
42111001321020021111330
52320243021424242340
633440431423240512
72104622221331414
oct225017110112574
940231365857628
1010241234212220
1132993127a7160
1211949a0749138
1359398a13c72b
1427596d695644
1512b5e83e68b5
hex9507920957c

10241234212220 has 96 divisors (see below), whose sum is σ = 23990559989760. Its totient is φ = 3640340963840.

The previous prime is 10241234212219. The next prime is 10241234212273. The reversal of 10241234212220 is 2221243214201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10241234212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7752917 + ... + 8977203.

It is an arithmetic number, because the mean of its divisors is an integer number (249901666560).

Almost surely, 210241234212220 is an apocalyptic number.

10241234212220 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 10241234212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995279994880).

10241234212220 is an abundant number, since it is smaller than the sum of its proper divisors (13749325777540).

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

10241234212220 is a wasteful number, since it uses less digits than its factorization.

10241234212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225163 (or 1225161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10241234212220 its reverse (2221243214201), we get a palindrome (12462477426421).

The spelling of 10241234212220 in words is "ten trillion, two hundred forty-one billion, two hundred thirty-four million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 809 940 1034 1618 2068 2585 3236 4045 5170 8090 8899 10340 16180 17798 35596 38023 44495 76046 88990 152092 177980 190115 380230 418253 760460 836506 1224287 1673012 2091265 2448574 4182530 4897148 6121435 8365060 12242870 13467157 24485740 26934314 53868628 57541489 67335785 115082978 134671570 230165956 269343140 287707445 575414890 632956379 990448183 1150829780 1265912758 1980896366 2531825516 3164781895 3961792732 4952240915 6329563790 9904481830 10894930013 12659127580 19808963660 21789860026 43579720052 46551064601 54474650065 93102129202 108949300130 186204258404 217898600260 232755323005 465510646010 512061710611 931021292020 1024123421222 2048246842444 2560308553055 5120617106110 10241234212220