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142300304131100 = 225253727339110891
BaseRepresentation
bin100000010110101111011111…
…000101000100010000011100
3200122211202221212021212202012
4200112233133011010100130
5122122422010324143400
61222351505055450352
741654600122553213
oct4026573705042034
9618752855255665
10142300304131100
1141383246a14545
1213b62903b269b8
136152b26ab98ab
14271d52b44a07a
15116b856700d35
hex816bdf14441c

142300304131100 has 144 divisors (see below), whose sum is σ = 315172523667456. Its totient is φ = 55747774368000.

The previous prime is 142300304131057. The next prime is 142300304131133. The reversal of 142300304131100 is 1131403003241.

It is a congruent number.

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, 13065856655 + ... + 13065867545.

It is an arithmetic number, because the mean of its divisors is an integer number (2188698081024).

Almost surely, 2142300304131100 is an apocalyptic number.

142300304131100 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 142300304131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157586261833728).

142300304131100 is an abundant number, since it is smaller than the sum of its proper divisors (172872219536356).

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

142300304131100 is a wasteful number, since it uses less digits than its factorization.

142300304131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15076 (or 15069 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 142300304131100 its reverse (1131403003241), we get a palindrome (143431707134341).

The spelling of 142300304131100 in words is "one hundred forty-two trillion, three hundred billion, three hundred four million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 727 1060 1325 1454 2650 2908 3391 3635 5300 6782 7270 10891 13564 14540 16955 18175 21782 33910 36350 38531 43564 54455 67820 72700 77062 84775 108910 154124 169550 179723 192655 217820 272275 339100 359446 385310 544550 577223 718892 770620 898615 963275 1089100 1154446 1797230 1926550 2308892 2465257 2886115 3594460 3853100 4493075 4930514 5772230 7917757 8986150 9861028 11544460 12326285 14430575 15835514 17972300 24652570 28861150 31671028 36931381 39588785 49305140 57722300 61631425 73862762 79177570 123262850 130658621 147725524 158355140 184656905 197943925 246525700 261317242 369313810 395887850 419641121 522634484 653293105 738627620 791775700 839282242 923284525 1306586210 1678564484 1846569050 1957363193 2098205605 2613172420 3266465525 3693138100 3914726386 4196411210 6532931050 7829452772 8392822420 9786815965 10491028025 13065862100 19573631930 20982056050 26849113987 39147263860 41964112100 48934079825 53698227974 97868159650 107396455948 134245569935 195736319300 268491139870 536982279740 671227849675 1342455699350 1423003041311 2684911398700 2846006082622 5692012165244 7115015206555 14230030413110 28460060826220 35575076032775 71150152065550 142300304131100