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20201201101120 = 2651314932590993
BaseRepresentation
bin1001001011111011101010…
…11010100110100101000000
32122112012211102211110010211
410211331311122212211000
510121434024440213440
6110544145332003504
74153326411121264
oct445756532464500
978465742743124
1020201201101120
116489310417296
122323165460594
13b36c713c1620
144dba59a780a4
1525072d9b1eea
hex125f756a6940

20201201101120 has 112 divisors (see below), whose sum is σ = 52152108598800. Its totient is φ = 7408845029376.

The previous prime is 20201201101079. The next prime is 20201201101127. The reversal of 20201201101120 is 2110110210202.

It can be written as a sum of positive squares in 8 ways, for example, as 8700800882944 + 11500400218176 = 2949712^2 + 3391224^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 20201201101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201201101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15675657 + ... + 16915336.

It is an arithmetic number, because the mean of its divisors is an integer number (465643826775).

Almost surely, 220201201101120 is an apocalyptic number.

20201201101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201201101120 is an abundant number, since it is smaller than the sum of its proper divisors (31950907497680).

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

20201201101120 is a wasteful number, since it uses less digits than its factorization.

20201201101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32591172 (or 32591162 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20201201101120 its reverse (2110110210202), we get a palindrome (22311311311322).

The spelling of 20201201101120 in words is "twenty trillion, two hundred one billion, two hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 149 160 208 260 298 320 416 520 596 745 832 1040 1192 1490 1937 2080 2384 2980 3874 4160 4768 5960 7748 9536 9685 11920 15496 19370 23840 30992 38740 47680 61984 77480 123968 154960 309920 619840 32590993 65181986 130363972 162954965 260727944 325909930 423682909 521455888 651819860 847365818 1042911776 1303639720 1694731636 2085823552 2118414545 2607279440 3389463272 4236829090 4856057957 5214558880 6778926544 8473658180 9712115914 10429117760 13557853088 16947316360 19424231828 24280289785 27115706176 33894632720 38848463656 48560579570 63128753441 67789265440 77696927312 97121159140 126257506882 135578530880 155393854624 194242318280 252515013764 310787709248 315643767205 388484636560 505030027528 631287534410 776969273120 1010060055056 1262575068820 1553938546240 2020120110112 2525150137640 4040240220224 5050300275280 10100600550560 20201201101120