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10231112111100 = 22352731792609911
BaseRepresentation
bin1001010011100001110111…
…0011011001001111111100
31100020002021210102221022220
42110320131303121033330
52320111304200023400
633432035155405340
72104113332024466
oct224703563311774
940202253387286
1010231112111100
113294a99075831
121192a368b3850
13592a36070b9a
1427528d22b136
1512b20496a7a0
hex94e1dcd93fc

10231112111100 has 144 divisors (see below), whose sum is σ = 30175176165120. Its totient is φ = 2675888524800.

The previous prime is 10231112111093. The next prime is 10231112111113. The reversal of 10231112111100 is 111121113201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10231112111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615145 + ... + 5225055.

It is an arithmetic number, because the mean of its divisors is an integer number (209549834480).

Almost surely, 210231112111100 is an apocalyptic number.

10231112111100 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 10231112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087588082560).

10231112111100 is an abundant number, since it is smaller than the sum of its proper divisors (19944064054020).

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

10231112111100 is a wasteful number, since it uses less digits than its factorization.

10231112111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610180 (or 2610173 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10231112111100 its reverse (111121113201), we get a palindrome (10342233224301).

The spelling of 10231112111100 in words is "ten trillion, two hundred thirty-one billion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 179 219 292 300 358 365 438 537 716 730 876 895 1074 1095 1460 1790 1825 2148 2190 2685 3580 3650 4380 4475 5370 5475 7300 8950 10740 10950 13067 13425 17900 21900 26134 26850 39201 52268 53700 65335 78402 130670 156804 196005 261340 326675 392010 653350 784020 980025 1306700 1960050 2609911 3920100 5219822 7829733 10439644 13049555 15659466 26099110 31318932 39148665 52198220 65247775 78297330 130495550 156594660 190523503 195743325 260991100 381047006 391486650 467174069 571570509 762094012 782973300 934348138 952617515 1143141018 1401522207 1868696276 1905235030 2286282036 2335870345 2803044414 2857852545 3810470060 4671740690 4763087575 5606088828 5715705090 7007611035 9343481380 9526175150 11431410180 11679351725 14015222070 14289262725 19052350300 23358703450 28030444140 28578525450 34103707037 35038055175 46717406900 57157050900 68207414074 70076110350 102311121111 136414828148 140152220700 170518535185 204622242222 341037070370 409244484444 511555605555 682074140740 852592675925 1023111211110 1705185351850 2046222422220 2557778027775 3410370703700 5115556055550 10231112111100