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42143333100 = 223521135935573
BaseRepresentation
bin100111001111111100…
…000011101011101100
311000210001010010202220
4213033330003223230
51142302143124400
631205501515340
73021231264231
oct471774035354
9130701103686
1042143333100
11169668a3a10
128201872b50
133c881330bb
14207b0d7788
151169c5d7a0
hex9cff03aec

42143333100 has 144 divisors (see below), whose sum is σ = 133393962240. Its totient is φ = 10187820800.

The previous prime is 42143333087. The next prime is 42143333119. The reversal of 42143333100 is 133334124.

It is a super-2 number, since 2×421433331002 (a number of 22 digits) contains 22 as substring.

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, 1166914 + ... + 1202486.

It is an arithmetic number, because the mean of its divisors is an integer number (926346960).

Almost surely, 242143333100 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 42143333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66696981120).

42143333100 is an abundant number, since it is smaller than the sum of its proper divisors (91250629140).

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

42143333100 is a wasteful number, since it uses less digits than its factorization.

42143333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35960 (or 35953 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42143333100 its reverse (133334124), we get a palindrome (42276667224).

The spelling of 42143333100 in words is "forty-two billion, one hundred forty-three million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 359 550 660 718 825 1077 1100 1436 1650 1795 2154 3300 3590 3949 4308 5385 7180 7898 8975 10770 11847 15796 17950 19745 21540 23694 26925 35573 35900 39490 47388 53850 59235 71146 78980 98725 106719 107700 118470 142292 177865 197450 213438 236940 296175 355730 391303 394900 426876 533595 592350 711460 782606 889325 1067190 1173909 1184700 1565212 1778650 1956515 2134380 2347818 2667975 3557300 3913030 4695636 5335950 5869545 7826060 9782575 10671900 11739090 12770707 19565150 23478180 25541414 29347725 38312121 39130300 51082828 58695450 63853535 76624242 117390900 127707070 140477777 153248484 191560605 255414140 280955554 319267675 383121210 421433331 561911108 638535350 702388885 766242420 842866662 957803025 1277070700 1404777770 1685733324 1915606050 2107166655 2809555540 3511944425 3831212100 4214333310 7023888850 8428666620 10535833275 14047777700 21071666550 42143333100