Search a number
-
+
1210110022002 = 2372191931122449
BaseRepresentation
bin10001100111000000001…
…011011001000101110010
311021200111122111102220210
4101213000023121011302
5124311301131201002
62323530013244550
7153266440320600
oct21470013310562
94250448442823
101210110022002
11427228618282
1217663b493756
138a16101754b
14427d912a870
152172757c96c
hex119c02d9172

1210110022002 has 96 divisors (see below), whose sum is σ = 2978892504000. Its totient is φ = 325851144192.

The previous prime is 1210110022001. The next prime is 1210110022049. The reversal of 1210110022002 is 2002200110121.

It is not an unprimeable number, because it can be changed into a prime (1210110022001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 516874 + ... + 1639322.

It is an arithmetic number, because the mean of its divisors is an integer number (31030130250).

Almost surely, 21210110022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210110022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489446252000).

1210110022002 is an abundant number, since it is smaller than the sum of its proper divisors (1768782481998).

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

1210110022002 is a wasteful number, since it uses less digits than its factorization.

1210110022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122680 (or 1122673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210110022002 its reverse (2002200110121), we get a palindrome (3212310132123).

The spelling of 1210110022002 in words is "one trillion, two hundred ten billion, one hundred ten million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 193 266 294 386 399 579 798 931 1158 1351 1862 2702 2793 3667 4053 5586 7334 8106 9457 11001 18914 22002 25669 28371 51338 56742 77007 154014 179683 359366 539049 1078098 1122449 2244898 3367347 6734694 7857143 15714286 21326531 23571429 42653062 47142858 55000001 63979593 110000002 127959186 149285717 165000003 216632657 298571434 330000006 433265314 447857151 649897971 895714302 1045000019 1299795942 1516428599 2090000038 3032857198 3135000057 4116020483 4549285797 6270000114 8232040966 9098571594 10615000193 12348061449 21230000386 24696122898 28812143381 31845000579 57624286762 63690001158 86436430143 172872860286 201685003667 403370007334 605055011001 1210110022002