Search a number
-
+
1021000002012 = 223256393502919
BaseRepresentation
bin11101101101110000101…
…01111010100111011100
310121121101020122001121100
432312320111322213130
5113212002000031022
62101012501233100
7133523221552464
oct16667025724734
93547336561540
101021000002012
1136400497a261
12145a62a02790
1375383bb1533
14375b947aba4
151b85a1b41ac
hexedb857a9dc

1021000002012 has 36 divisors (see below), whose sum is σ = 2580912013680. Its totient is φ = 340326622272.

The previous prime is 1021000001947. The next prime is 1021000002017. The reversal of 1021000002012 is 2102000001201.

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 = 1021000001985 and 1021000002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000002017) 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, 1778689 + ... + 2281607.

It is an arithmetic number, because the mean of its divisors is an integer number (71692000380).

Almost surely, 21021000002012 is an apocalyptic number.

1021000002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021000002012 is an abundant number, since it is smaller than the sum of its proper divisors (1559912011668).

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

1021000002012 is a wasteful number, since it uses less digits than its factorization.

1021000002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559322 (or 559317 counting only the distinct ones).

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

Adding to 1021000002012 its reverse (2102000001201), we get a palindrome (3123000003213).

The spelling of 1021000002012 in words is "one trillion, twenty-one billion, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 56393 112786 169179 225572 338358 502919 507537 676716 1005838 1015074 1508757 2011676 2030148 3017514 4526271 6035028 9052542 18105084 28361111167 56722222334 85083333501 113444444668 170166667002 255250000503 340333334004 510500001006 1021000002012