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124042413751100 = 2252131274191793119
BaseRepresentation
bin11100001101000011100000…
…000000100011101100111100
3121021012100011002102112101222
4130031003200000203230330
5112224302330410013400
61115452144224452512
735061524435136305
oct3415034000435474
9537170132375358
10124042413751100
1136584101868839
1211ab430147a138
13542a1c3399640
14228b9833797ac
15e51963e88185
hex70d0e0023b3c

124042413751100 has 144 divisors (see below), whose sum is σ = 292857522585600. Its totient is φ = 45331170635520.

The previous prime is 124042413751093. The next prime is 124042413751133. The reversal of 124042413751100 is 1157314240421.

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 47 ways as a sum of consecutive naturals, for example, 68280341 + ... + 70073459.

Almost surely, 2124042413751100 is an apocalyptic number.

124042413751100 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 124042413751100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146428761292800).

124042413751100 is an abundant number, since it is smaller than the sum of its proper divisors (168815108834500).

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

124042413751100 is a wasteful number, since it uses less digits than its factorization.

124042413751100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793692 (or 1793685 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 124042413751100 its reverse (1157314240421), we get a palindrome (125199727991521).

The spelling of 124042413751100 in words is "one hundred twenty-four trillion, forty-two billion, four hundred thirteen million, seven hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 254 260 325 419 508 635 650 838 1270 1300 1651 1676 2095 2540 3175 3302 4190 5447 6350 6604 8255 8380 10475 10894 12700 16510 20950 21788 27235 33020 41275 41900 53213 54470 82550 106426 108940 136175 165100 212852 266065 272350 532130 544700 691769 1064260 1330325 1383538 1793119 2660650 2767076 3458845 3586238 5321300 6917690 7172476 8965595 13835380 17294225 17931190 23310547 34588450 35862380 44827975 46621094 69176900 89655950 93242188 116552735 179311900 227726113 233105470 455452226 466210940 582763675 751316861 910904452 1138630565 1165527350 1502633722 2277261130 2331054700 2960439469 3005267444 3756584305 4554522260 5693152825 5920878938 7513168610 9767119193 11386305650 11841757876 14802197345 15026337220 18782921525 19534238386 22772611300 29604394690 37565843050 39068476772 48835595965 59208789380 74010986725 75131686100 95417241347 97671191930 148021973450 190834482694 195342383860 244177979825 296043946900 381668965388 477086206735 488355959650 954172413470 976711919300 1240424137511 1908344826940 2385431033675 2480848275022 4770862067350 4961696550044 6202120687555 9541724134700 12404241375110 24808482750220 31010603437775 62021206875550 124042413751100