Search a number
-
+
312330223023 = 3713371511931061
BaseRepresentation
bin1001000101110000101…
…01001111110110101111
31002212011211102020220220
410202320111033312233
520104123014114043
6355252120342423
731364556043410
oct4427025176657
91085154366826
10312330223023
111105052a5365
1250646914a13
13235b6513870
141118c95d807
1581cee0d483
hex48b854fdaf

312330223023 has 128 divisors (see below), whose sum is σ = 533127942144. Its totient is φ = 158257152000.

The previous prime is 312330223021. The next prime is 312330223027. The reversal of 312330223023 is 320322033213.

It is not a de Polignac number, because 312330223023 - 21 = 312330223021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312330222984 and 312330223002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330223021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294372913 + ... + 294373973.

It is an arithmetic number, because the mean of its divisors is an integer number (4165062048).

Almost surely, 2312330223023 is an apocalyptic number.

312330223023 is a deficient number, since it is larger than the sum of its proper divisors (220797719121).

312330223023 is a wasteful number, since it uses less digits than its factorization.

312330223023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 312330223023 its reverse (320322033213), we get a palindrome (632652256236).

The spelling of 312330223023 in words is "three hundred twelve billion, three hundred thirty million, two hundred twenty-three thousand, twenty-three".

Divisors: 1 3 7 13 21 37 39 91 111 151 193 259 273 453 481 579 777 1057 1061 1351 1443 1963 2509 3171 3183 3367 4053 5587 5889 7141 7427 7527 10101 13741 13793 16761 17563 21423 22281 29143 39109 39257 41223 41379 49987 52689 72631 87429 92833 96551 117327 117771 149961 160211 204001 204773 217893 274799 278499 289653 378859 480633 508417 510341 612003 614319 649831 824397 1078291 1121477 1136577 1433411 1525251 1531023 1949493 2082743 2652013 2662049 3234873 3364431 3572387 4300233 5927807 6248229 7548037 7576601 7956039 7986147 10717161 14017783 14579201 17783421 18634343 22644111 22729803 30920723 41494649 42053349 43737603 53036207 55903029 77061491 92762169 98124481 98495813 124483947 159108621 216445061 231184473 294373443 295487439 401969399 539430437 649335183 689470691 1144066751 1205908197 1618291311 2068412073 2813785793 3432200253 8008467257 8441357379 14872867763 24025401771 44618603289 104110074341 312330223023