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11241444225 = 35211171934153
BaseRepresentation
bin10100111100000101…
…01101001110000001
31002000102202112110010
422132002231032001
5141010302203400
65055251055133
7545400461604
oct123602551601
932012675403
1011241444225
114849558480
1222188a14a9
1310a1c6295b
14788da033b
1545bd83450
hex29e0ad381

11241444225 has 96 divisors (see below), whose sum is σ = 21584582784. Its totient is φ = 5101977600.

The previous prime is 11241444217. The next prime is 11241444233. The reversal of 11241444225 is 52244414211.

It is an interprime number because it is at equal distance from previous prime (11241444217) and next prime (11241444233).

It is not a de Polignac number, because 11241444225 - 23 = 11241444217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11241444192 and 11241444201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2704749 + ... + 2708901.

It is an arithmetic number, because the mean of its divisors is an integer number (224839404).

Almost surely, 211241444225 is an apocalyptic number.

11241444225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11241444225 is a deficient number, since it is larger than the sum of its proper divisors (10343138559).

11241444225 is a wasteful number, since it uses less digits than its factorization.

11241444225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4382 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

Adding to 11241444225 its reverse (52244414211), we get a palindrome (63485858436).

The spelling of 11241444225 in words is "eleven billion, two hundred forty-one million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 165 187 193 255 275 425 561 579 825 935 965 1275 2123 2805 2895 3281 4153 4675 4825 6369 9843 10615 12459 14025 14475 16405 20765 31845 36091 45683 49215 53075 62295 70601 82025 103825 108273 137049 159225 180455 211803 228415 246075 311475 353005 541365 685245 776611 801529 902275 1059015 1142075 1765025 2329833 2404587 2706825 3426225 3883055 4007645 5295075 8816819 11649165 12022935 13625993 19415275 20038225 26450457 40877979 44084095 58245825 60114675 68129965 132252285 149885923 204389895 220420475 340649825 449657769 661261425 749429615 1021949475 2248288845 3747148075 11241444225