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2110020012 = 2232616714341
BaseRepresentation
bin111110111000100…
…0101100110101100
312110001101010022100
41331301011212230
513310131120022
6545213015100
7103200605562
oct17561054654
95401333270
102110020012
119930622a1
124aa784490
132781b8869
14160337a32
15c53961ac
hex7dc459ac

2110020012 has 72 divisors (see below), whose sum is σ = 5502394352. Its totient is φ = 681436800.

The previous prime is 2110020007. The next prime is 2110020043. The reversal of 2110020012 is 2100200112.

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 = 2110019976 and 2110020003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139962 + ... + 154302.

Almost surely, 22110020012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751197176).

2110020012 is an abundant number, since it is smaller than the sum of its proper divisors (3392374340).

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

2110020012 is a wasteful number, since it uses less digits than its factorization.

2110020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479 (or 14474 counting only the distinct ones).

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

The square root of 2110020012 is about 45934.9541416991. The cubic root of 2110020012 is about 1282.6126672789.

Adding to 2110020012 its reverse (2100200112), we get a palindrome (4210220124).

The spelling of 2110020012 in words is "two billion, one hundred ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 67 122 134 183 201 244 268 366 402 549 603 732 804 1098 1206 2196 2412 4087 8174 12261 14341 16348 24522 28682 36783 43023 49044 57364 73566 86046 129069 147132 172092 258138 516276 874801 960847 1749602 1921694 2624403 2882541 3499204 3843388 5248806 5765082 7873209 8647623 10497612 11530164 15746418 17295246 31492836 34590492 58611667 117223334 175835001 234446668 351670002 527505003 703340004 1055010006 2110020012