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11412210054 = 2372537091033
BaseRepresentation
bin10101010000011100…
…01000000110000110
31002110100002100010110
422220032020012012
5141333011210204
65124231133450
7552543120300
oct125016100606
932410070113
1011412210054
114926993363
122265b14286
1310cb45271b
147a3932970
1546bd65889
hex2a8388186

11412210054 has 96 divisors (see below), whose sum is σ = 27116195040. Its totient is φ = 3191505408.

The previous prime is 11412210053. The next prime is 11412210059. The reversal of 11412210054 is 45001221411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11412210054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412210053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11047122 + ... + 11048154.

It is an arithmetic number, because the mean of its divisors is an integer number (282460365).

Almost surely, 211412210054 is an apocalyptic number.

11412210054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412210054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558097520).

11412210054 is an abundant number, since it is smaller than the sum of its proper divisors (15703984986).

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

11412210054 is a wasteful number, since it uses less digits than its factorization.

11412210054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11412210054 its reverse (45001221411), we get a palindrome (56413431465).

The spelling of 11412210054 in words is "eleven billion, four hundred twelve million, two hundred ten thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 709 742 1033 1113 1418 2066 2127 2226 2597 3099 4254 4963 5194 6198 7231 7791 9926 14462 14889 15582 21693 29778 34741 37577 43386 50617 54749 69482 75154 101234 104223 109498 112731 151851 164247 208446 225462 263039 303702 328494 383243 526078 732397 766486 789117 1149729 1464794 1578234 1841273 2197191 2299458 2682701 3682546 4394382 5126779 5365402 5523819 8048103 10253558 11047638 15380337 16096206 30760674 35887453 38817041 71774906 77634082 107662359 116451123 215324718 232902246 271719287 543438574 815157861 1630315722 1902035009 3804070018 5706105027 11412210054