Search a number
-
+
2100201000020 = 2254712311814993
BaseRepresentation
bin11110100011111101101…
…111000000110001010100
321102202222121201001101222
4132203331233000301110
5233402202424000040
64244452524105512
7304506636644324
oct36437557006124
97382877631358
102100201000020
1173a765792202
1229b049095298
131230818bb326
14739164b3284
153996ebbcbb5
hex1e8fdbc0c54

2100201000020 has 48 divisors (see below), whose sum is σ = 4507922377728. Its totient is φ = 821537978880.

The previous prime is 2100201000019. The next prime is 2100201000071. The reversal of 2100201000020 is 200001020012.

It is a junction number, because it is equal to n+sod(n) for n = 2100200999971 and 2100201000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249644 + ... + 2064636.

It is an arithmetic number, because the mean of its divisors is an integer number (93915049536).

Almost surely, 22100201000020 is an apocalyptic number.

2100201000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100201000020 is an abundant number, since it is smaller than the sum of its proper divisors (2407721377708).

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

2100201000020 is a wasteful number, since it uses less digits than its factorization.

2100201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816280 (or 1816278 counting only the distinct ones).

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

Adding to 2100201000020 its reverse (200001020012), we get a palindrome (2300202020032).

The spelling of 2100201000020 in words is "two trillion, one hundred billion, two hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 1231 2462 4924 6155 12310 24620 57857 115714 231428 289285 578570 1157140 1814993 3629986 7259972 9074965 18149930 36299860 85304671 170609342 341218684 426523355 853046710 1706093420 2234256383 4468512766 8937025532 11171281915 22342563830 44685127660 105010050001 210020100002 420040200004 525050250005 1050100500010 2100201000020