Search a number
-
+
1001223120210 = 23537902002811
BaseRepresentation
bin11101001000111011000…
…11000110010101010010
310112201022221221100222120
432210131203012111102
5112401001104321320
62043542222115110
7132223146050115
oct16443543062522
93481287840876
101001223120210
11356686393245
1214206371ba96
13735517c6701
1436660a7457c
151b09dd1c440
hexe91d8c6552

1001223120210 has 32 divisors (see below), whose sum is σ = 2467879693632. Its totient is φ = 259776809280.

The previous prime is 1001223120199. The next prime is 1001223120251. The reversal of 1001223120210 is 120213221001.

It is a super-2 number, since 2×10012231202102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001223120210.

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 15 ways as a sum of consecutive naturals, for example, 451000296 + ... + 451002515.

It is an arithmetic number, because the mean of its divisors is an integer number (77121240426).

Almost surely, 21001223120210 is an apocalyptic number.

1001223120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001223120210 is an abundant number, since it is smaller than the sum of its proper divisors (1466656573422).

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

1001223120210 is a wasteful number, since it uses less digits than its factorization.

1001223120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902002858.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1001223120210 its reverse (120213221001), we get a palindrome (1121436341211).

The spelling of 1001223120210 in words is "one trillion, one billion, two hundred twenty-three million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 902002811 1804005622 2706008433 4510014055 5412016866 9020028110 13530042165 27060084330 33374104007 66748208014 100122312021 166870520035 200244624042 333741040070 500611560105 1001223120210