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2102011120 = 245112388649
BaseRepresentation
bin111110101001010…
…0010010011110000
312102111022020011201
41331102202103300
513301103323440
6544325220544
7103042541206
oct17522422360
95374266151
102102011120
11989592080
124a7b61754
13276643381
1415d251076
15c481319a
hex7d4a24f0

2102011120 has 40 divisors (see below), whose sum is σ = 5331466800. Its totient is φ = 764367360.

The previous prime is 2102011103. The next prime is 2102011133. The reversal of 2102011120 is 211102012.

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 = 2102011097 and 2102011106.

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, 1193445 + ... + 1195204.

It is an arithmetic number, because the mean of its divisors is an integer number (133286670).

Almost surely, 22102011120 is an apocalyptic number.

2102011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102011120 is an abundant number, since it is smaller than the sum of its proper divisors (3229455680).

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

2102011120 is a wasteful number, since it uses less digits than its factorization.

2102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388673 (or 2388667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2102011120 is about 45847.6948166426. The cubic root of 2102011120 is about 1280.9878279518.

Adding to 2102011120 its reverse (211102012), we get a palindrome (2313113132).

The spelling of 2102011120 in words is "two billion, one hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2388649 4777298 9554596 11943245 19109192 23886490 26275139 38218384 47772980 52550278 95545960 105100556 131375695 191091920 210201112 262751390 420402224 525502780 1051005560 2102011120