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11220020010200 = 2352461526123131
BaseRepresentation
bin1010001101000101110101…
…0011101001110011011000
31110201121211111010020220002
42203101131103221303120
52432312100110311300
635510223411552132
72235422361335111
oct243213523516330
943647744106802
1011220020010200
113636424877091
121312621bbb648
13635074305ac1
142ab0a246b208
15146cd24ed5d5
hexa345d4e9cd8

11220020010200 has 96 divisors (see below), whose sum is σ = 26149233060720. Its totient is φ = 4477227840000.

The previous prime is 11220020010197. The next prime is 11220020010203. The reversal of 11220020010200 is 201002002211.

It is a happy number.

11220020010200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220020010197) and next prime (11220020010203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220020010203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485052635 + ... + 485075765.

Almost surely, 211220020010200 is an apocalyptic number.

11220020010200 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 11220020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074616530360).

11220020010200 is an abundant number, since it is smaller than the sum of its proper divisors (14929213050520).

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

11220020010200 is a wasteful number, since it uses less digits than its factorization.

11220020010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28869 (or 28860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11220020010200 its reverse (201002002211), we get a palindrome (11421022012411).

The spelling of 11220020010200 in words is "eleven trillion, two hundred twenty billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 5261 9220 10522 11525 18440 21044 23050 23131 26305 42088 46100 46262 52610 92200 92524 105220 115655 131525 185048 210440 231310 263050 462620 526100 578275 925240 1052200 1156550 2313100 2425321 4626200 4850642 9701284 10663391 12126605 19402568 21326782 24253210 42653564 48506420 53316955 60633025 85307128 97012840 106633910 121266050 121692191 213267820 242532100 243384382 266584775 426535640 485064200 486768764 533169550 608460955 973537528 1066339100 1216921910 2132678200 2433843820 3042304775 4867687640 6084609550 12169219100 24338438200 56100100051 112200200102 224400400204 280500500255 448800800408 561001000510 1122002001020 1402502501275 2244004002040 2805005002550 5610010005100 11220020010200