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20011021211120 = 2459711979130171
BaseRepresentation
bin1001000110011001011011…
…10011111001010111110000
32121212000221110211001002012
410203030231303321113300
510110330032412223440
6110320534120542052
74133514521536502
oct443145563712760
977760843731065
1020011021211120
116415698873085
1222b232a621928
13b22053726b34
144d2777c8dd72
1524a7ec714e65
hex12332dcf95f0

20011021211120 has 80 divisors (see below), whose sum is σ = 46597431323520. Its totient is φ = 7992063110400.

The previous prime is 20011021211119. The next prime is 20011021211123. The reversal of 20011021211120 is 2111212011002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×200110212111203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20011021211095 and 20011021211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011021211123) 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, 153663635 + ... + 153793805.

It is an arithmetic number, because the mean of its divisors is an integer number (582467891544).

Almost surely, 220011021211120 is an apocalyptic number.

20011021211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011021211120 is an abundant number, since it is smaller than the sum of its proper divisors (26586410112400).

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

20011021211120 is a wasteful number, since it uses less digits than its factorization.

20011021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133134 (or 133128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20011021211120 its reverse (2111212011002), we get a palindrome (22122233222122).

The spelling of 20011021211120 in words is "twenty trillion, eleven billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 971 1942 1979 3884 3958 4855 7768 7916 9710 9895 15536 15832 19420 19790 31664 38840 39580 77680 79160 130171 158320 260342 520684 650855 1041368 1301710 1921609 2082736 2603420 3843218 5206840 7686436 9608045 10413680 15372872 19216090 30745744 38432180 76864360 126396041 153728720 252792082 257608409 505584164 515216818 631980205 1011168328 1030433636 1263960410 1288042045 2022336656 2060867272 2527920820 2576084090 4121734544 5055841640 5152168180 10111683280 10304336360 20608672720 250137765139 500275530278 1000551060556 1250688825695 2001102121112 2501377651390 4002204242224 5002755302780 10005510605560 20011021211120