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124043331100 = 2252134110872141
BaseRepresentation
bin111001110000110001…
…1110000011000011100
3102212011210102010001011
41303201203300120130
54013020043043400
6132552411025004
711650623626503
oct1634143603034
9385153363034
10124043331100
1148674254677
1220059a3b164
13b90aa9a890
14600a33983a
15335ee398ba
hex1ce18f061c

124043331100 has 144 divisors (see below), whose sum is σ = 297361967616. Its totient is φ = 44621568000.

The previous prime is 124043331079. The next prime is 124043331101. The reversal of 124043331100 is 1133340421.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124043331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57936030 + ... + 57938170.

It is an arithmetic number, because the mean of its divisors is an integer number (2065013664).

Almost surely, 2124043331100 is an apocalyptic number.

124043331100 is a gapful number since it is divisible by the number (10) 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 124043331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148680983808).

124043331100 is an abundant number, since it is smaller than the sum of its proper divisors (173318636516).

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

124043331100 is a wasteful number, since it uses less digits than its factorization.

124043331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 124043331100 its reverse (1133340421), we get a palindrome (125176671521).

The spelling of 124043331100 in words is "one hundred twenty-four billion, forty-three million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1087 1300 2050 2132 2141 2174 2665 4100 4282 4348 5330 5435 8564 10660 10705 10870 13325 14131 21410 21740 26650 27175 27833 28262 42820 44567 53300 53525 54350 55666 56524 70655 87781 89134 107050 108700 111332 139165 141310 175562 178268 214100 222835 278330 282620 351124 353275 438905 445670 556660 579371 695825 706550 877810 891340 1114175 1141153 1158742 1391650 1413100 1755620 2194525 2228350 2282306 2317484 2327267 2783300 2896855 4389050 4456700 4564612 4654534 5705765 5793710 8778100 9309068 11411530 11587420 11636335 14484275 22823060 23272670 28528825 28968550 30254471 46545340 57057650 57937100 58181675 60508942 95417947 114115300 116363350 121017884 151272355 190835894 232726700 302544710 381671788 477089735 605089420 756361775 954179470 1240433311 1512723550 1908358940 2385448675 2480866622 3025447100 4770897350 4961733244 6202166555 9541794700 12404333110 24808666220 31010832775 62021665550 124043331100