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210000000012 = 2231137229718719
BaseRepresentation
bin1100001110010011111…
…0011011010000001100
3202002001021001022122020
43003210332123100030
511420040000000022
6240250032450140
721112665355665
oct3034476332014
9662037038566
10210000000012
1181073586220
12348486a9950
1316a5900964a
14a24224436c
1556e133235c
hex30e4f9b40c

210000000012 has 96 divisors (see below), whose sum is σ = 549260974080. Its totient is φ = 61886200320.

The previous prime is 209999999971. The next prime is 210000000037.

It is a happy number.

210000000012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11209189 + ... + 11227907.

It is an arithmetic number, because the mean of its divisors is an integer number (5721468480).

Almost surely, 2210000000012 is an apocalyptic number.

210000000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274630487040).

210000000012 is an abundant number, since it is smaller than the sum of its proper divisors (339260974068).

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

210000000012 is a wasteful number, since it uses less digits than its factorization.

210000000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21071 (or 21069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 2100000000 and 12, that added together give a palindrome (2100000012).

The spelling of 210000000012 in words is "two hundred ten billion, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2297 2442 4594 4884 6891 9188 13782 18719 25267 27564 37438 50534 56157 74876 75801 84989 101068 112314 151602 169978 205909 224628 254967 303204 339956 411818 509934 617727 692603 823636 934879 1019868 1235454 1385206 1869758 2077809 2470908 2770412 2804637 3739516 4155618 5609274 7618633 8311236 11218548 15237266 22855899 30474532 42997543 45711798 85995086 91423596 128992629 171990172 257985258 472972973 515970516 945945946 1418918919 1590909091 1891891892 2837837838 3181818182 4772727273 5675675676 6363636364 9545454546 17500000001 19090909092 35000000002 52500000003 70000000004 105000000006 210000000012