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312211300324 = 227113741668209
BaseRepresentation
bin1001000101100010011…
…11100101111111100100
31002211212112122100122111
410202301033211333210
520103402043102244
6355232231410404
731361613160120
oct4426117457744
91084775570574
10312211300324
11110454159a40
1250612b23a04
13235979a60c1
141117ac44580
1581c476be34
hex48b13e5fe4

312211300324 has 96 divisors (see below), whose sum is σ = 716663243520. Its totient is φ = 115466342400.

The previous prime is 312211300279. The next prime is 312211300333. The reversal of 312211300324 is 423003112213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312211300295 and 312211300304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133132 + ... + 801340.

It is an arithmetic number, because the mean of its divisors is an integer number (7465242120).

Almost surely, 2312211300324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312211300324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358331621760).

312211300324 is an abundant number, since it is smaller than the sum of its proper divisors (404451943196).

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

312211300324 is a wasteful number, since it uses less digits than its factorization.

312211300324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668309 (or 668307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312211300324 its reverse (423003112213), we get a palindrome (735214412537).

The spelling of 312211300324 in words is "three hundred twelve billion, two hundred eleven million, three hundred thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 74 77 82 148 154 164 259 287 308 407 451 518 574 814 902 1036 1148 1517 1628 1804 2849 3034 3157 5698 6068 6314 10619 11396 12628 16687 21238 33374 42476 66748 116809 233618 467236 668209 1336418 2672836 4677463 7350299 9354926 14700598 18709852 24723733 27396569 29401196 49447466 51452093 54793138 98894932 102904186 109586276 173066131 191775983 205808372 271961063 301362259 346132262 383551966 543922126 602724518 692264524 767103932 1013673053 1087844252 1205449036 1903727441 2027346106 2109535813 3807454882 4054692212 4219071626 7095711371 7614909764 8438143252 11150403583 14191422742 22300807166 28382845484 44601614332 78052825081 156105650162 312211300324