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2212132013010 = 23251710069143593
BaseRepresentation
bin100000001100001101010…
…101111100001111010010
321211110220021122122121200
4200030031111330033102
5242220421243404020
64412123414132030
7315551456602263
oct40141525741722
97743807578550
102212132013010
1178318393aa17
122b8886651016
131307ac189b6a
14790d3d1496a
153c82159c590
hex2030d57c3d2

2212132013010 has 96 divisors (see below), whose sum is σ = 6090516534960. Its totient is φ = 555142754304.

The previous prime is 2212132012957. The next prime is 2212132013051. The reversal of 2212132013010 is 103102312122.

2212132013010 is a `hidden beast` number, since 2 + 21 + 21 + 320 + 1 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 332976315681 + 1879155697329 = 577041^2 + 1370823^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15333774 + ... + 15477366.

Almost surely, 22212132013010 is an apocalyptic number.

2212132013010 is an abundant number, since it is smaller than the sum of its proper divisors (3878384521950).

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

2212132013010 is a wasteful number, since it uses less digits than its factorization.

2212132013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153692 (or 153689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2212132013010 its reverse (103102312122), we get a palindrome (2315234325132).

The spelling of 2212132013010 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 10069 20138 30207 50345 60414 90621 100690 143593 151035 171173 181242 287186 302070 342346 430779 453105 513519 717965 855865 861558 906210 1027038 1292337 1435930 1540557 1711730 2153895 2441081 2567595 2584674 3081114 4307790 4882162 5135190 6461685 7323243 7702785 12205405 12923370 14646486 15405570 21969729 24410810 36616215 43939458 73232430 109848645 219697290 1445837917 2891675834 4337513751 7229189585 8675027502 13012541253 14458379170 21687568755 24579244589 26025082506 43375137510 49158489178 65062706265 73737733767 122896222945 130125412530 147475467534 221213201301 245792445890 368688668835 442426402602 737377337670 1106066006505 2212132013010