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1021021002012 = 2231140918911999
BaseRepresentation
bin11101101101110011001…
…10000001100100011100
310121121102201010222012010
432312321212001210130
5113212022334031022
62101014531311220
7133523565215124
oct16667146014434
93547381128163
101021021002012
11364015812930
12145a69a4b510
1375388354b7b
14375bc185c84
151b85be6150c
hexedb998191c

1021021002012 has 48 divisors (see below), whose sum is σ = 2605317120000. Its totient is φ = 308643807360.

The previous prime is 1021021001977. The next prime is 1021021002041. The reversal of 1021021002012 is 2102001201201.

1021021002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9402012 + ... + 9509987.

It is an arithmetic number, because the mean of its divisors is an integer number (54277440000).

Almost surely, 21021021002012 is an apocalyptic number.

1021021002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021021002012 is an abundant number, since it is smaller than the sum of its proper divisors (1584296117988).

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

1021021002012 is a wasteful number, since it uses less digits than its factorization.

1021021002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18912426 (or 18912424 counting only the distinct ones).

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

Adding to 1021021002012 its reverse (2102001201201), we get a palindrome (3123022203213).

The spelling of 1021021002012 in words is "one trillion, twenty-one billion, twenty-one million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 409 818 1227 1636 2454 4499 4908 8998 13497 17996 26994 53988 18911999 37823998 56735997 75647996 113471994 208031989 226943988 416063978 624095967 832127956 1248191934 2496383868 7735007591 15470015182 23205022773 30940030364 46410045546 85085083501 92820091092 170170167002 255255250503 340340334004 510510501006 1021021002012