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61323600100 = 225271929158993
BaseRepresentation
bin111001000111001010…
…111110000011100100
312212021202011122202011
4321013022332003210
52001042320200400
644101025324004
74300441000060
oct710712760344
9185252148664
1061323600100
1124009634444
12ba75196604
135a23a39109
142d7a598aa0
1518dda558ba
hexe472be0e4

61323600100 has 144 divisors (see below), whose sum is σ = 165608150400. Its totient is φ = 19231672320.

The previous prime is 61323600007. The next prime is 61323600131. The reversal of 61323600100 is 100632316.

61323600100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306204 + ... + 465196.

It is an arithmetic number, because the mean of its divisors is an integer number (1150056600).

Almost surely, 261323600100 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 61323600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82804075200).

61323600100 is an abundant number, since it is smaller than the sum of its proper divisors (104284550300).

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

61323600100 is a wasteful number, since it uses less digits than its factorization.

61323600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159062 (or 159055 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 61323600100 in words is "sixty-one billion, three hundred twenty-three million, six hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 29 35 38 50 58 70 76 95 100 116 133 140 145 175 190 203 266 290 350 380 406 475 532 551 580 665 700 725 812 950 1015 1102 1330 1450 1900 2030 2204 2660 2755 2900 3325 3857 4060 5075 5510 6650 7714 10150 11020 13300 13775 15428 19285 20300 27550 38570 55100 77140 96425 158993 192850 317986 385700 635972 794965 1112951 1589930 2225902 3020867 3179860 3974825 4451804 4610797 5564755 6041734 7949650 9221594 11129510 12083468 15104335 15899300 18443188 21146069 22259020 23053985 27823775 30208670 32275579 42292138 46107970 55647550 60417340 64551158 75521675 84584276 87605143 92215940 105730345 111295100 115269925 129102316 151043350 161377895 175210286 211460690 230539850 302086700 322755790 350420572 422921380 438025715 461079700 528651725 613236001 645511580 806889475 876051430 1057303450 1226472002 1613778950 1752102860 2114606900 2190128575 2452944004 3066180005 3227557900 4380257150 6132360010 8760514300 12264720020 15330900025 30661800050 61323600100