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312213112134 = 237211231283111
BaseRepresentation
bin1001000101100010101…
…10100000010101000110
31002211212200001101222120
410202301112200111012
520103403024042014
6355232334310410
731361634444300
oct4426126402506
91084780041876
10312213112134
11110455187200
1250613658406
132359818b991
141117b196970
1581c49c8ba9
hex48b15a0546

312213112134 has 144 divisors (see below), whose sum is σ = 824168475648. Its totient is φ = 78478092000.

The previous prime is 312213112129. The next prime is 312213112139. The reversal of 312213112134 is 431211312213.

It is an interprime number because it is at equal distance from previous prime (312213112129) and next prime (312213112139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213112139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 961239 + ... + 1244349.

It is an arithmetic number, because the mean of its divisors is an integer number (5723392192).

Almost surely, 2312213112134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312213112134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412084237824).

312213112134 is an abundant number, since it is smaller than the sum of its proper divisors (511955363514).

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

312213112134 is a wasteful number, since it uses less digits than its factorization.

312213112134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283183 (or 283165 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 312213112134 its reverse (431211312213), we get a palindrome (743424424347).

The spelling of 312213112134 in words is "three hundred twelve billion, two hundred thirteen million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 121 147 154 186 217 231 242 294 341 363 434 462 539 651 682 726 847 1023 1078 1302 1519 1617 1694 2046 2387 2541 3038 3234 3751 4557 4774 5082 5929 7161 7502 9114 11253 11858 14322 16709 17787 22506 26257 33418 35574 50127 52514 78771 100254 157542 183799 283111 367598 551397 566222 849333 1102794 1698666 1981777 3114221 3963554 5945331 6228442 8776441 9342663 11890662 13872439 17552882 18685326 21799547 26329323 27744878 34256431 41617317 43599094 52658646 61435087 65398641 68512862 83234634 96540851 102769293 122870174 130797282 152596829 184305261 193081702 205538586 239795017 289622553 305193658 368610522 430045609 457790487 479590034 579245106 675785957 719385051 860091218 915580974 1061949361 1290136827 1351571914 1438770102 1678565119 2027357871 2123898722 2580273654 3185848083 3357130238 4054715742 4730501699 5035695357 6371696166 7433645527 9461003398 10071390714 14191505097 14867291054 22300936581 28383010194 44601873162 52035518689 104071037378 156106556067 312213112134