Search a number
-
+
312303003031332 = 2232171611131673951
BaseRepresentation
bin100011100000010011011010…
…1100011101101011100100100
31111221202212122020200111221100
41013000212311203231130210
5311413233022234000312
63024114004032520100
7122532101356664355
oct10700466543553444
91457685566614840
10312303003031332
1190566a615414a5
122b03a4b79b0030
131053507bb29501
14571979030bd2c
152618ab78d05dc
hex11c09b58ed724

312303003031332 has 72 divisors (see below), whose sum is σ = 835921710554112. Its totient is φ = 97971328224000.

The previous prime is 312303003031267. The next prime is 312303003031333. The reversal of 312303003031332 is 233130300303213.

312303003031332 is a `hidden beast` number, since 3 + 1 + 23 + 0 + 3 + 0 + 0 + 303 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312303003031296 and 312303003031305.

It is not an unprimeable number, because it can be changed into a prime (312303003031333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5977044 + ... + 25696907.

It is an arithmetic number, because the mean of its divisors is an integer number (11610023757696).

Almost surely, 2312303003031332 is an apocalyptic number.

It is an amenable number.

312303003031332 is an abundant number, since it is smaller than the sum of its proper divisors (523618707522780).

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

312303003031332 is a wasteful number, since it uses less digits than its factorization.

312303003031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31690089 (or 31690084 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 312303003031332 its reverse (233130300303213), we get a palindrome (545433303334545).

The spelling of 312303003031332 in words is "three hundred twelve trillion, three hundred three billion, three million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16111 32222 48333 64444 96666 144999 193332 273887 289998 547774 579996 821661 1095548 1643322 2464983 3286644 4929966 9859932 31673951 63347902 95021853 126695804 190043706 285065559 380087412 538457167 570131118 1076914334 1140262236 1615371501 2153828668 3230743002 4846114503 6461486004 9692229006 19384458012 510299024561 1020598049122 1530897073683 2041196098244 3061794147366 4592691221049 6123588294732 8675083417537 9185382442098 17350166835074 18370764884196 26025250252611 34700333670148 52050500505222 78075750757833 104101001010444 156151501515666 312303003031332