Search a number
-
+
312000032331 = 341323101127549
BaseRepresentation
bin1001000101001001010…
…01101010111001001011
31002211022211002211110000
410202210221222321023
520102434002013311
6355155243254043
731353436342341
oct4424451527113
91084284084400
10312000032331
11110355980199
125057421a323
1323562ca5060
141115ab6b991
1581b0e39056
hex48a4a6ae4b

312000032331 has 80 divisors (see below), whose sum is σ = 528938625600. Its totient is φ = 181832428800.

The previous prime is 312000032317. The next prime is 312000032341. The reversal of 312000032331 is 133230000213.

312000032331 is a `hidden beast` number, since 312 + 0 + 0 + 0 + 0 + 323 + 31 = 666.

It is not a de Polignac number, because 312000032331 - 25 = 312000032299 is a prime.

It is a super-2 number, since 2×3120000323312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312000032341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2382345 + ... + 2509893.

It is an arithmetic number, because the mean of its divisors is an integer number (6611732820).

Almost surely, 2312000032331 is an apocalyptic number.

312000032331 is a deficient number, since it is larger than the sum of its proper divisors (216938593269).

312000032331 is a wasteful number, since it uses less digits than its factorization.

312000032331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127698 (or 127689 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312000032331 its reverse (133230000213), we get a palindrome (445230032544).

The spelling of 312000032331 in words is "three hundred twelve billion, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 13 23 27 39 69 81 101 117 207 299 303 351 621 897 909 1053 1313 1863 2323 2691 2727 3939 6969 8073 8181 11817 20907 24219 30199 35451 62721 90597 106353 127549 188163 271791 382647 815373 1147941 1658137 2446119 2933627 3443823 4974411 8800881 10331469 12882449 14923233 26402643 38137151 38647347 44769699 79207929 114411453 115942041 134309097 167471837 237623787 296296327 343234359 347826123 502415511 888888981 1029703077 1043478369 1507246533 2666666943 3089109231 3851852251 4521739599 8000000829 11555556753 13565218797 24000002487 34666670259 104000010777 312000032331