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110012231100 = 223521398113253
BaseRepresentation
bin110011001110100111…
…1010110110110111100
3101111221221102101021210
41212131033112312330
53300301112343400
6122312223524420
710643130351432
oct1463517266674
9344857371253
10110012231100
1142724044562
12193a2a59710
13a4b2bc0145
145478a88d52
152cdd211950
hex199d3d6dbc

110012231100 has 144 divisors (see below), whose sum is σ = 321085976960. Its totient is φ = 29080684800.

The previous prime is 110012231099. The next prime is 110012231129. The reversal of 110012231100 is 1132210011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33817074 + ... + 33820326.

Almost surely, 2110012231100 is an apocalyptic number.

110012231100 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 110012231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160542988480).

110012231100 is an abundant number, since it is smaller than the sum of its proper divisors (211073745860).

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

110012231100 is a wasteful number, since it uses less digits than its factorization.

110012231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4213 counting only the distinct ones).

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

Adding to 110012231100 its reverse (1132210011), we get a palindrome (111144441111).

The spelling of 110012231100 in words is "one hundred ten billion, twelve million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 811 834 1390 1622 1668 2085 2433 2780 3244 3253 3475 4055 4170 4866 6506 6950 8110 8340 9732 9759 10425 12165 13012 13900 16220 16265 19518 20275 20850 24330 32530 39036 40550 41700 48660 48795 60825 65060 81100 81325 97590 112729 121650 162650 195180 225458 243300 243975 325300 338187 450916 452167 487950 563645 676374 904334 975900 1127290 1352748 1356501 1690935 1808668 2254580 2260835 2638183 2713002 2818225 3381870 4521670 5276366 5426004 5636450 6763740 6782505 7914549 8454675 9043340 10552732 11272900 11304175 13190915 13565010 15829098 16909350 22608350 26381830 27130020 31658196 33818700 33912525 39572745 45216700 52763660 65954575 67825050 79145490 131909150 135650100 158290980 197863725 263818300 366707437 395727450 733414874 791454900 1100122311 1466829748 1833537185 2200244622 3667074370 4400489244 5500611555 7334148740 9167685925 11001223110 18335371850 22002446220 27503057775 36670743700 55006115550 110012231100