Search a number
-
+
312210110030 = 257131723877463
BaseRepresentation
bin1001000101100010010…
…11000011011001001110
31002211212110101212212112
410202301023003121032
520103401242010110
6355232150104022
731361600101640
oct4426113033116
91084773355775
10312210110030
11110453516725
125061264b012
132359767a3a0
141117aa14890
1581c45d4405
hex48b12c364e

312210110030 has 128 divisors (see below), whose sum is σ = 764193927168. Its totient is φ = 88953587712.

The previous prime is 312210109999. The next prime is 312210110033. The reversal of 312210110030 is 30011012213.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 312210109987 and 312210110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210110033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82922 + ... + 794541.

It is an arithmetic number, because the mean of its divisors is an integer number (5970265056).

Almost surely, 2312210110030 is an apocalyptic number.

312210110030 is an abundant number, since it is smaller than the sum of its proper divisors (451983817138).

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

312210110030 is a wasteful number, since it uses less digits than its factorization.

312210110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877530.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 312210110030 its reverse (30011012213), we get a palindrome (342221122243).

The spelling of 312210110030 in words is "three hundred twelve billion, two hundred ten million, one hundred ten thousand, thirty".

Divisors: 1 2 5 7 10 13 14 17 23 26 34 35 46 65 70 85 91 115 119 130 161 170 182 221 230 238 299 322 391 442 455 595 598 782 805 910 1105 1190 1495 1547 1610 1955 2093 2210 2737 2990 3094 3910 4186 5083 5474 7735 10166 10465 13685 15470 20930 25415 27370 35581 50830 71162 177905 355810 877463 1754926 4387315 6142241 8774630 11407019 12284482 14916871 20181649 22814038 29833742 30711205 40363298 57035095 61422410 74584355 79849133 100908245 104418097 114070190 141271543 149168710 159698266 193919323 201816490 208836194 262361437 282543086 343088033 387838646 399245665 522090485 524722874 686176066 706357715 798491330 969596615 1044180970 1311807185 1357435261 1412715430 1715440165 1836530059 1939193230 2401616231 2623614370 2714870522 3430880330 3673060118 4460144429 4803232462 6787176305 8920288858 9182650295 12008081155 13574352610 18365300590 22300722145 24016162310 31221011003 44601444290 62442022006 156105055015 312210110030