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12110200302100 = 22521994219144241
BaseRepresentation
bin1011000000111010000000…
…1011111110101000010100
31120212201112200101110222211
42300032200023332220110
53041403142234131400
641431203233003204
72356635024066055
oct260164013765024
946781480343884
1012110200302100
1139499a83a393a
1214370556b3504
1369acaa54b434
142dc1cb62272c
151600328d1dba
hexb03a02fea14

12110200302100 has 72 divisors (see below), whose sum is σ = 26417633816000. Its totient is φ = 4818562214400.

The previous prime is 12110200302097. The next prime is 12110200302103. The reversal of 12110200302100 is 120300201121.

It is an interprime number because it is at equal distance from previous prime (12110200302097) and next prime (12110200302103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110200302103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83885980 + ... + 84030220.

Almost surely, 212110200302100 is an apocalyptic number.

12110200302100 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 12110200302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208816908000).

12110200302100 is an abundant number, since it is smaller than the sum of its proper divisors (14307433513900).

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

12110200302100 is a wasteful number, since it uses less digits than its factorization.

12110200302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148673 (or 148666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12110200302100 its reverse (120300201121), we get a palindrome (12230500503221).

The spelling of 12110200302100 in words is "twelve trillion, one hundred ten billion, two hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 3980 4219 4975 8438 9950 16876 19900 21095 42190 84380 105475 144241 210950 288482 421900 576964 721205 839581 1442410 1679162 2884820 3358324 3606025 4197905 7212050 8395810 14424100 16791620 20989525 28703959 41979050 57407918 83958100 114815836 143519795 287039590 574079180 608552779 717598975 1217105558 1435197950 2434211116 2870395900 3042763895 6085527790 12171055580 15213819475 30427638950 60855277900 121102003021 242204006042 484408012084 605510015105 1211020030210 2422040060420 3027550075525 6055100151050 12110200302100