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211313012424 = 23319463405729
BaseRepresentation
bin1100010011001100111…
…1001010111011001000
3202012102202201021001120
43010303033022323020
511430232112344144
6241024215115240
721160350653343
oct3046317127310
9665382637046
10211313012424
1181687760948
1234b54372b20
1316c0804c377
14a32879145a
15576b742e19
hex31333caec8

211313012424 has 32 divisors (see below), whose sum is σ = 556086876000. Its totient is φ = 66730424832.

The previous prime is 211313012419. The next prime is 211313012437. The reversal of 211313012424 is 424210313112.

211313012424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211313012394 and 211313012403.

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, 231702409 + ... + 231703320.

It is an arithmetic number, because the mean of its divisors is an integer number (17377714875).

Almost surely, 2211313012424 is an apocalyptic number.

211313012424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211313012424 is an abundant number, since it is smaller than the sum of its proper divisors (344773863576).

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

211313012424 is a wasteful number, since it uses less digits than its factorization.

211313012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463405757 (or 463405753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211313012424 its reverse (424210313112), we get a palindrome (635523325536).

The spelling of 211313012424 in words is "two hundred eleven billion, three hundred thirteen million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 463405729 926811458 1390217187 1853622916 2780434374 3707245832 5560868748 8804708851 11121737496 17609417702 26414126553 35218835404 52828253106 70437670808 105656506212 211313012424