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11236631120 = 2451121389293
BaseRepresentation
bin10100111011100000…
…10110001001010000
31002000002201000002222
422131300112021100
5141003034143440
65055000000212
7545311534331
oct123560261120
932002630088
1011236631120
114846870300
122217160068
1310a0c68c70
147884aa288
1545b7322b5
hex29dc16250

11236631120 has 120 divisors (see below), whose sum is σ = 30925369608. Its totient is φ = 3771694080.

The previous prime is 11236631113. The next prime is 11236631149. The reversal of 11236631120 is 2113663211.

It can be written as a sum of positive squares in 4 ways, for example, as 205750336 + 11030880784 = 14344^2 + 105028^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11236631120.

It is a congruent number.

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, 81194 + ... + 170486.

Almost surely, 211236631120 is an apocalyptic number.

11236631120 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 11236631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462684804).

11236631120 is an abundant number, since it is smaller than the sum of its proper divisors (19688738488).

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

11236631120 is a wasteful number, since it uses less digits than its factorization.

11236631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89341 (or 89324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 11236631120 in words is "eleven billion, two hundred thirty-six million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 286 440 484 520 572 605 715 880 968 1040 1144 1210 1430 1573 1936 2288 2420 2860 3146 4840 5720 6292 7865 9680 11440 12584 15730 25168 31460 62920 89293 125840 178586 357172 446465 714344 892930 982223 1160809 1428688 1785860 1964446 2321618 3571720 3928892 4643236 4911115 5804045 7143440 7857784 9286472 9822230 10804453 11608090 12768899 15715568 18572944 19644460 21608906 23216180 25537798 39288920 43217812 46432360 51075596 54022265 63844495 78577840 86435624 92864720 102151192 108044530 127688990 140457889 172871248 204302384 216089060 255377980 280915778 432178120 510755960 561831556 702289445 864356240 1021511920 1123663112 1404578890 2247326224 2809157780 5618315560 11236631120