Search a number
-
+
1224130030314 = 2317311672318191
BaseRepresentation
bin10001110100000011110…
…101011110101011101010
311100000200201121122201220
4101310003311132223222
5130024004241432224
62334205122522510
7154304040401442
oct21640365365352
94300621548656
101224130030314
11432172542004
121792b2806436
138b586810559
1443369131122
1521c98314279
hex11d03d5eaea

1224130030314 has 64 divisors (see below), whose sum is σ = 2691921641472. Its totient is φ = 369426758400.

The previous prime is 1224130030313. The next prime is 1224130030379. The reversal of 1224130030314 is 4130300314221.

It is a happy number.

It is a super-2 number, since 2×12241300303142 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1224130030313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631042 + ... + 1687149.

It is an arithmetic number, because the mean of its divisors is an integer number (42061275648).

Almost surely, 21224130030314 is an apocalyptic number.

1224130030314 is an abundant number, since it is smaller than the sum of its proper divisors (1467791611158).

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

1224130030314 is a wasteful number, since it uses less digits than its factorization.

1224130030314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318411.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1224130030314 its reverse (4130300314221), we get a palindrome (5354430344535).

The spelling of 1224130030314 in words is "one trillion, two hundred twenty-four billion, one hundred thirty million, thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 167 186 334 501 527 1002 1054 1581 2839 3162 5177 5678 8517 10354 15531 17034 31062 88009 176018 264027 528054 2318191 4636382 6954573 13909146 39409247 71863921 78818494 118227741 143727842 215591763 236455482 387137897 431183526 774275794 1161413691 1221686657 2322827382 2443373314 3665059971 6581344249 7330119942 12001274807 13162688498 19744032747 24002549614 36003824421 39488065494 72007648842 204021671719 408043343438 612065015157 1224130030314