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124023314130 = 23559109733877
BaseRepresentation
bin111001110000001011…
…1011001011011010010
3102212010101202010220220
41303200113121123102
54012444432023010
6132550414013510
711650261530132
oct1634027313322
9385111663826
10124023314130
1148663a22621
12200531a7296
13b9068ac811
146007808ac2
15335d2d3970
hex1ce05d96d2

124023314130 has 128 divisors (see below), whose sum is σ = 306243590400. Its totient is φ = 32133417984.

The previous prime is 124023314119. The next prime is 124023314141. The reversal of 124023314130 is 31413320421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (124023314119) and next prime (124023314141).

It is a self number, because there is not a number n which added to its sum of digits gives 124023314130.

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 63 ways as a sum of consecutive naturals, for example, 141417252 + ... + 141418128.

It is an arithmetic number, because the mean of its divisors is an integer number (2392528050).

Almost surely, 2124023314130 is an apocalyptic number.

124023314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124023314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153121795200).

124023314130 is an abundant number, since it is smaller than the sum of its proper divisors (182220276270).

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

124023314130 is a wasteful number, since it uses less digits than its factorization.

124023314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 124023314130 its reverse (31413320421), we get a palindrome (155436634551).

The spelling of 124023314130 in words is "one hundred twenty-four billion, twenty-three million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 109 118 177 218 295 327 354 545 590 654 733 877 885 1090 1466 1635 1754 1770 2199 2631 3270 3665 4385 4398 5262 6431 7330 8770 10995 12862 13155 19293 21990 26310 32155 38586 43247 51743 64310 79897 86494 95593 96465 103486 129741 155229 159794 191186 192930 216235 239691 258715 259482 286779 310458 399485 432470 477965 479382 517430 573558 642841 648705 776145 798970 955930 1198455 1285682 1297410 1433895 1552290 1928523 2396910 2867790 3214205 3857046 4713923 5639987 6428410 9427846 9642615 11279974 14141769 16919961 19285230 23569615 28199935 28283538 33839922 37927619 47139230 56399870 70069669 70708845 75855238 84599805 113782857 140139338 141417690 169199610 189638095 210209007 227565714 350348345 379276190 420418014 568914285 700696690 1051045035 1137828570 2102090070 4134110471 8268220942 12402331413 20670552355 24804662826 41341104710 62011657065 124023314130