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54142101222 = 2311310763361
BaseRepresentation
bin110010011011000111…
…101110011011100110
312011202020220201022020
4302123013232123212
51341340334214342
640512245044010
73624456160416
oct623307563346
9164666821266
1054142101222
1120a63894000
12a5b00b6606
13514ac55cb1
1428988b4646
15161d3390ec
hexc9b1ee6e6

54142101222 has 64 divisors (see below), whose sum is σ = 120219510528. Its totient is φ = 16253107200.

The previous prime is 54142101199. The next prime is 54142101241. The reversal of 54142101222 is 22210124145.

It is a junction number, because it is equal to n+sod(n) for n = 54142101192 and 54142101201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822822 + ... + 886182.

It is an arithmetic number, because the mean of its divisors is an integer number (1878429852).

Almost surely, 254142101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54142101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60109755264).

54142101222 is an abundant number, since it is smaller than the sum of its proper divisors (66077409306).

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

54142101222 is a wasteful number, since it uses less digits than its factorization.

54142101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63506 (or 63484 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 54142101222 its reverse (22210124145), we get a palindrome (76352225367).

The spelling of 54142101222 in words is "fifty-four billion, one hundred forty-two million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 107 121 214 242 321 363 642 726 1177 1331 2354 2662 3531 3993 7062 7986 12947 25894 38841 63361 77682 126722 142417 190083 284834 380166 427251 696971 854502 1393942 2090913 4181826 6779627 7666681 13559254 15333362 20338881 23000043 40677762 46000086 74575897 84333491 149151794 168666982 223727691 253000473 447455382 506000946 820334867 1640669734 2461004601 4922009202 9023683537 18047367074 27071050611 54142101222