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54101222032 = 241113151115649
BaseRepresentation
bin110010011000101011…
…110010001010010000
312011122101222211121011
4302120223302022100
51341244403101112
640504224540304
73623451541204
oct623053621220
9164571884534
1054101222032
1120a42802950
12a59a481694
135142642220
1428932b2b04
151619961aa7
hexc98af2290

54101222032 has 80 divisors (see below), whose sum is σ = 123235862400. Its totient is φ = 22683340800.

The previous prime is 54101222027. The next prime is 54101222039. The reversal of 54101222032 is 23022210145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 54101221994 and 54101222012.

It is not an unprimeable number, because it can be changed into a prime (54101222039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449344 + ... + 3464992.

It is an arithmetic number, because the mean of its divisors is an integer number (1540448280).

Almost surely, 254101222032 is an apocalyptic number.

54101222032 is a gapful number since it is divisible by the number (52) 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 54101222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61617931200).

54101222032 is an abundant number, since it is smaller than the sum of its proper divisors (69134640368).

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

54101222032 is a wasteful number, since it uses less digits than its factorization.

54101222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17192 (or 17186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 54101222032 its reverse (23022210145), we get a palindrome (77123432177).

The spelling of 54101222032 in words is "fifty-four billion, one hundred one million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1511 2288 3022 6044 12088 15649 16621 19643 24176 31298 33242 39286 62596 66484 78572 125192 132968 157144 172139 203437 216073 250384 265936 314288 344278 406874 432146 688556 813748 864292 1377112 1627496 1728584 2237807 2754224 3254992 3457168 4475614 8951228 17902456 23645639 35804912 47291278 94582556 189165112 260102029 307393307 378330224 520204058 614786614 1040408116 1229573228 2080816232 2459146456 3381326377 4161632464 4918292912 6762652754 13525305508 27050611016 54101222032