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201301111200120 = 23354759604943837
BaseRepresentation
bin101101110001010100010001…
…001110011101100101111000
3222101202012100112220022210120
4231301110101032131211320
5202341104133431400440
61552044242010013240
760254345123120541
oct5561242116354570
9871665315808716
10201301111200120
115916035a3aa648
121a6b1606a17220
1388427c8658b89
14379d0509c54c8
15184148580ddd0
hexb7151139d978

201301111200120 has 128 divisors (see below), whose sum is σ = 627205771238400. Its totient is φ = 51647684942336.

The previous prime is 201301111200109. The next prime is 201301111200157. The reversal of 201301111200120 is 21002111103102.

201301111200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201301111200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302139159 + ... + 302804678.

It is an arithmetic number, because the mean of its divisors is an integer number (4900045087800).

Almost surely, 2201301111200120 is an apocalyptic number.

201301111200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201301111200120 is an abundant number, since it is smaller than the sum of its proper divisors (425904660038280).

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

201301111200120 is a wasteful number, since it uses less digits than its factorization.

201301111200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604943957 (or 604943953 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 201301111200120 its reverse (21002111103102), we get a palindrome (222303222303222).

The spelling of 201301111200120 in words is "two hundred one trillion, three hundred one billion, one hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 59 60 94 118 120 141 177 188 235 236 282 295 354 376 470 472 564 590 705 708 885 940 1128 1180 1410 1416 1770 1880 2360 2773 2820 3540 5546 5640 7080 8319 11092 13865 16638 22184 27730 33276 41595 55460 66552 83190 110920 166380 332760 604943837 1209887674 1814831511 2419775348 3024719185 3629663022 4839550696 6049438370 7259326044 9074157555 12098876740 14518652088 18148315110 24197753480 28432360339 35691686383 36296630220 56864720678 71383372766 72593260440 85297081017 107075059149 113729441356 142161801695 142766745532 170594162034 178458431915 214150118298 227458882712 284323603390 285533491064 341188324068 356916863830 426485405085 428300236596 535375295745 568647206780 682376648136 713833727660 852970810170 856600473192 1070750591490 1137294413560 1427667455320 1677509260001 1705941620340 2141501182980 3355018520002 3411883240680 4283002365960 5032527780003 6710037040004 8387546300005 10065055560006 13420074080008 16775092600010 20130111120012 25162638900015 33550185200020 40260222240024 50325277800030 67100370400040 100650555600060 201301111200120