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2100200110020 = 223451296419821
BaseRepresentation
bin11110100011111101101…
…011100111011111000100
321102202222120000211120000
4132203331223213133010
5233402202212010040
64244452453041300
7304506626246505
oct36437553473704
97382876024500
102100200110020
1173a765234571
1229b048926230
131230816691bc
1473916320bac
153996ea94130
hex1e8fdae77c4

2100200110020 has 60 divisors (see below), whose sum is σ = 6588405535404. Its totient is φ = 560053362240.

The previous prime is 2100200110013. The next prime is 2100200110027. The reversal of 2100200110020 is 200110020012.

It is an interprime number because it is at equal distance from previous prime (2100200110013) and next prime (2100200110027).

It can be written as a sum of positive squares in 2 ways, for example, as 1074095940996 + 1026104169024 = 1036386^2 + 1012968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100200109984 and 2100200110011.

It is not an unprimeable number, because it can be changed into a prime (2100200110027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 648208291 + ... + 648211530.

Almost surely, 22100200110020 is an apocalyptic number.

2100200110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100200110020 is an abundant number, since it is smaller than the sum of its proper divisors (4488205425384).

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

2100200110020 is a wasteful number, since it uses less digits than its factorization.

2100200110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296419842 (or 1296419831 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100200110020 its reverse (200110020012), we get a palindrome (2300310130032).

The spelling of 2100200110020 in words is "two trillion, one hundred billion, two hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1296419821 2592839642 3889259463 5185679284 6482099105 7778518926 11667778389 12964198210 15557037852 19446297315 23335556778 25928396420 35003335167 38892594630 46671113556 58338891945 70006670334 77785189260 105010005501 116677783890 140013340668 175016675835 210020011002 233355567780 350033351670 420040022004 525050027505 700066703340 1050100055010 2100200110020