Search a number
-
+
312031133010 = 23451722660213
BaseRepresentation
bin1001000101001101000…
…00010011110101010010
31002211101222121220120000
410202212200103311102
520103014432224020
6355202314030430
731354264604022
oct4424640236522
91084358556500
10312031133010
11110371492633
1250582718416
132356957401c
1411160d45a82
1581b3a2e090
hex48a6813d52

312031133010 has 80 divisors (see below), whose sum is σ = 888371029656. Its totient is φ = 78313692672.

The previous prime is 312031132981. The next prime is 312031133017. The reversal of 312031133010 is 10331130213.

It is a happy number.

312031133010 is a `hidden beast` number, since 3 + 1 + 20 + 311 + 330 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 311032636209 + 998496801 = 557703^2 + 31599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312031133017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11316337 + ... + 11343876.

Almost surely, 2312031133010 is an apocalyptic number.

312031133010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312031133010 is an abundant number, since it is smaller than the sum of its proper divisors (576339896646).

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

312031133010 is a wasteful number, since it uses less digits than its factorization.

312031133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22660249 (or 22660240 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312031133010 its reverse (10331130213), we get a palindrome (322362263223).

The spelling of 312031133010 in words is "three hundred twelve billion, thirty-one million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 22660213 45320426 67980639 113301065 135961278 203941917 226602130 339903195 385223621 407883834 611825751 679806390 770447242 1019709585 1155670863 1223651502 1835477253 1926118105 2039419170 2311341726 3059128755 3467012589 3670954506 3852236210 5778354315 6118257510 6934025178 9177386265 10401037767 11556708630 17335062945 18354772530 20802075534 31203113301 34670125890 52005188835 62406226602 104010377670 156015566505 312031133010