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124102688028 = 223114726597523
BaseRepresentation
bin111001110010100011…
…0001011110100011100
3102212022221002202102220
41303211012023310130
54013130242004103
6133002331145340
711652244304664
oct1634506136434
9385287082386
10124102688028
11486a4806390
12200758a5250
13b91a180c17
14601418b1a4
153365261c53
hex1ce518bd1c

124102688028 has 96 divisors (see below), whose sum is σ = 322783211520. Its totient is φ = 36787995840.

The previous prime is 124102687949. The next prime is 124102688041. The reversal of 124102688028 is 820886201421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16492675 + ... + 16500197.

It is an arithmetic number, because the mean of its divisors is an integer number (3362325120).

Almost surely, 2124102688028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124102688028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161391605760).

124102688028 is an abundant number, since it is smaller than the sum of its proper divisors (198680523492).

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

124102688028 is a wasteful number, since it uses less digits than its factorization.

124102688028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

Adding to 124102688028 its reverse (820886201421), we get a palindrome (944988889449).

The spelling of 124102688028 in words is "one hundred twenty-four billion, one hundred two million, six hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 2659 3102 5318 6204 7523 7977 10636 15046 15954 22569 29249 30092 31908 45138 58498 82753 87747 90276 116996 124973 165506 175494 248259 249946 331012 350988 353581 374919 496518 499892 707162 749838 993036 1060743 1374703 1414324 1499676 2121486 2749406 3889391 4124109 4242972 5498812 7778782 8248218 11668173 15557564 16496436 20003657 23336346 40007314 46672692 60010971 80014628 120021942 220040227 240043884 440080454 660120681 880160908 940171879 1320241362 1880343758 2640482724 2820515637 3760687516 5641031274 10341890669 11282062548 20683781338 31025672007 41367562676 62051344014 124102688028