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210001111120 = 2454164024729
BaseRepresentation
bin1100001110010100001…
…0101010100001010000
3202002001100010202210101
43003211002222201100
511420040241023440
6240250112342144
721113010664243
oct3034502524120
9662040122711
10210001111120
1181074174a99
1234848b44954
1316a593082c8
14a24245325a
1556e14a169a
hex30e50aa850

210001111120 has 40 divisors (see below), whose sum is σ = 500161190760. Its totient is φ = 81951651840.

The previous prime is 210001111097. The next prime is 210001111157. The reversal of 210001111120 is 21111100012.

It can be written as a sum of positive squares in 4 ways, for example, as 12946798656 + 197054312464 = 113784^2 + 443908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210001111097 and 210001111106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32009085 + ... + 32015644.

It is an arithmetic number, because the mean of its divisors is an integer number (12504029769).

Almost surely, 2210001111120 is an apocalyptic number.

210001111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210001111120 is an abundant number, since it is smaller than the sum of its proper divisors (290160079640).

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

210001111120 is a wasteful number, since it uses less digits than its factorization.

210001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64024783 (or 64024777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210001111120 its reverse (21111100012), we get a palindrome (231112211132).

The spelling of 210001111120 in words is "two hundred ten billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 64024729 128049458 256098916 320123645 512197832 640247290 1024395664 1280494580 2560989160 2625013889 5121978320 5250027778 10500055556 13125069445 21000111112 26250138890 42000222224 52500277780 105000555560 210001111120