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20120300114320 = 2457225793198997
BaseRepresentation
bin1001001001100100111110…
…10101110101000110010000
32122020111000022100111121101
410210302133111311012100
510114122333312124240
6110443045511034144
74144433536101100
oct444623725650620
978214008314541
1020120300114320
116457a7597451a
12230b54796b954
13b2c44a708c33
144d7b833a7200
1524d59636e39a
hex124c9f575190

20120300114320 has 120 divisors (see below), whose sum is σ = 54419582676024. Its totient is φ = 6898086494208.

The previous prime is 20120300114311. The next prime is 20120300114329. The reversal of 20120300114320 is 2341100302102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20120300114311) and next prime (20120300114329).

It can be written as a sum of positive squares in 4 ways, for example, as 3626922184704 + 16493377929616 = 1904448^2 + 4061204^2 .

It is not an unprimeable number, because it can be changed into a prime (20120300114329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101009062 + ... + 101208058.

Almost surely, 220120300114320 is an apocalyptic number.

20120300114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120300114320 is an abundant number, since it is smaller than the sum of its proper divisors (34299282561704).

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

20120300114320 is a wasteful number, since it uses less digits than its factorization.

20120300114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224817 (or 224804 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20120300114320 its reverse (2341100302102), we get a palindrome (22461400416422).

The spelling of 20120300114320 in words is "twenty trillion, one hundred twenty billion, three hundred million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 25793 51586 103172 128965 180551 198997 206344 257930 361102 397994 412688 515860 722204 795988 902755 994985 1031720 1263857 1392979 1444408 1591976 1805510 1989970 2063440 2527714 2785958 2888816 3183952 3611020 3979940 5055428 5571916 6319285 6964895 7222040 7959880 9750853 10110856 11143832 12638570 13929790 14444080 15919760 19501706 20221712 22287664 25277140 27859580 39003412 48754265 50554280 55719160 78006824 97508530 101108560 111438320 156013648 195017060 390034120 780068240 5132729621 10265459242 20530918484 25663648105 35929107347 41061836968 51327296210 71858214694 82123673936 102654592420 143716429388 179645536735 205309184840 251503751429 287432858776 359291073470 410618369680 503007502858 574865717552 718582146940 1006015005716 1257518757145 1437164293880 2012030011432 2515037514290 2874328587760 4024060022864 5030075028580 10060150057160 20120300114320