Search a number
-
+
2310000021 = 327374432237
BaseRepresentation
bin1000100110101111…
…1100110110010101
312221222200011022100
42021223330312111
514212330000041
61021115152313
7111146450640
oct21153746625
95858604270
102310000021
11a85a3122a
12545745699
132aa766a24
1417cb12a57
15d7be96b6
hex89afcd95

2310000021 has 48 divisors (see below), whose sum is σ = 3926991744. Its totient is φ = 1280852352.

The previous prime is 2309999969. The next prime is 2310000023. The reversal of 2310000021 is 1200000132.

It is a happy number.

It is not a de Polignac number, because 2310000021 - 29 = 2309999509 is a prime.

It is a super-2 number, since 2×23100000212 = 10672200194040000882, which contains 22 as substring.

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 = 2309999958 and 2310000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310000023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031515 + ... + 1033751.

It is an arithmetic number, because the mean of its divisors is an integer number (81812328).

Almost surely, 22310000021 is an apocalyptic number.

2310000021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2310000021 is a deficient number, since it is larger than the sum of its proper divisors (1616991723).

2310000021 is a wasteful number, since it uses less digits than its factorization.

2310000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2727 counting only the distinct ones).

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

The square root of 2310000021 is about 48062.4595812574. The cubic root of 2310000021 is about 1321.9164122901.

Adding to 2310000021 its reverse (1200000132), we get a palindrome (3510000153).

The spelling of 2310000021 in words is "two billion, three hundred ten million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 259 333 443 777 1329 2237 2331 3101 3987 6711 9303 15659 16391 20133 27909 46977 49173 82769 114737 140931 147519 248307 344211 579383 744921 990991 1032633 1738149 2972973 5214447 6936937 8918919 20810811 36666667 62432433 110000001 256666669 330000003 770000007 2310000021