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213948002130 = 2357131600071
BaseRepresentation
bin1100011101000001001…
…0110110111101010010
3202110020101220121101220
43013100102312331102
512001131142032010
6242141504105510
721312555004152
oct3072022667522
9673211817356
10213948002130
118280a084695
123556a905296
1317237c23485
14a4d8700762
155872c35970
hex31d04b6f52

213948002130 has 16 divisors (see below), whose sum is σ = 513475205184. Its totient is φ = 57052800560.

The previous prime is 213948002129. The next prime is 213948002171. The reversal of 213948002130 is 31200849312.

213948002130 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213948002091 and 213948002100.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3565800006 + ... + 3565800065.

It is an arithmetic number, because the mean of its divisors is an integer number (32092200324).

Almost surely, 2213948002130 is an apocalyptic number.

213948002130 is an abundant number, since it is smaller than the sum of its proper divisors (299527203054).

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

213948002130 is a wasteful number, since it uses less digits than its factorization.

213948002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131600081.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 213948002130 in words is "two hundred thirteen billion, nine hundred forty-eight million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 7131600071 14263200142 21394800213 35658000355 42789600426 71316000710 106974001065 213948002130