Search a number
-
+
1010002212 = 2232199140983
BaseRepresentation
bin111100001100110…
…110100100100100
32121101111102120100
4330030312210210
54032030032322
6244115504100
734012606602
oct7414664444
92541442510
101010002212
1147913567a
122422b8030
1313132ca5b
14981d2872
155da09dac
hex3c336924

1010002212 has 36 divisors (see below), whose sum is σ = 2565908800. Its totient is φ = 334973232.

The previous prime is 1010002177. The next prime is 1010002219. The reversal of 1010002212 is 2122000101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1010002194 and 1010002203.

It is not an unprimeable number, because it can be changed into a prime (1010002219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63328 + ... + 77655.

Almost surely, 21010002212 is an apocalyptic number.

1010002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010002212 is an abundant number, since it is smaller than the sum of its proper divisors (1555906588).

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

1010002212 is a wasteful number, since it uses less digits than its factorization.

1010002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141192 (or 141187 counting only the distinct ones).

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

The square root of 1010002212 is about 31780.5319653400. The cubic root of 1010002212 is about 1003.3230159999.

Adding to 1010002212 its reverse (2122000101), we get a palindrome (3132002313).

The spelling of 1010002212 in words is "one billion, ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 140983 281966 422949 563932 845898 1268847 1691796 2537694 5075388 28055617 56111234 84166851 112222468 168333702 252500553 336667404 505001106 1010002212