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2121000102 = 2321310388001
BaseRepresentation
bin111111001101011…
…1110010010100110
312110211000222011100
41332122332102212
513320434000402
6550244220530
7103363126524
oct17632762246
95424028140
102121000102
11999281851
124b239a746
1327a561560
14161995314
15c631471c
hex7e6be4a6

2121000102 has 48 divisors (see below), whose sum is σ = 4997105568. Its totient is φ = 646272000.

The previous prime is 2121000059. The next prime is 2121000109. The reversal of 2121000102 is 2010001212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19899 + ... + 68102.

It is an arithmetic number, because the mean of its divisors is an integer number (104106366).

Almost surely, 22121000102 is an apocalyptic number.

2121000102 is an abundant number, since it is smaller than the sum of its proper divisors (2876105466).

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

2121000102 is a wasteful number, since it uses less digits than its factorization.

2121000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88125 (or 88122 counting only the distinct ones).

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

The square root of 2121000102 is about 46054.3168660659. The cubic root of 2121000102 is about 1284.8336326678.

Adding to 2121000102 its reverse (2010001212), we get a palindrome (4131001314).

The spelling of 2121000102 in words is "two billion, one hundred twenty-one million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1854 2678 4017 8034 12051 24102 88001 176002 264003 528006 792009 1144013 1584018 2288026 3432039 6864078 9064103 10296117 18128206 20592234 27192309 54384618 81576927 117833339 163153854 235666678 353500017 707000034 1060500051 2121000102