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2130010002 = 232179771761
BaseRepresentation
bin111111011110101…
…0101111110010010
312111102222201102100
41332331111332102
513330240310002
6551205301230
7103532533461
oct17675257622
95442881370
102130010002
119a337604a
124b5404816
1327c397563
14162c5c9d8
15c6ee411c
hex7ef55f92

2130010002 has 48 divisors (see below), whose sum is σ = 4936938552. Its totient is φ = 661340160.

The previous prime is 2130009997. The next prime is 2130010021. The reversal of 2130010002 is 2000100312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1895644521 + 234365481 = 43539^2 + 15309^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6199 + ... + 65562.

Almost surely, 22130010002 is an apocalyptic number.

2130010002 is an abundant number, since it is smaller than the sum of its proper divisors (2806928550).

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

2130010002 is a wasteful number, since it uses less digits than its factorization.

2130010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71883 (or 71880 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130010002 is about 46152.0313962452. The cubic root of 2130010002 is about 1286.6503651575.

Adding to 2130010002 its reverse (2000100312), we get a palindrome (4130110314).

The spelling of 2130010002 in words is "two billion, one hundred thirty million, ten thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 873 1649 1746 3298 4947 9894 14841 29682 71761 143522 215283 430566 645849 1219937 1291698 2439874 3659811 6960817 7319622 10979433 13921634 20882451 21958866 41764902 62647353 118333889 125294706 236667778 355001667 710003334 1065005001 2130010002