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312223314102 = 237592834311033
BaseRepresentation
bin1001000101100011111…
…01011011000010110110
31002211220101020201110020
410202301331123002312
520103413132022402
6355233341110010
731362120244530
oct4426175330266
91084811221406
10312223314102
1111045aa15087
1250616b58306
132359a32144b
141117c690850
1581c58418bc
hex48b1f5b0b6

312223314102 has 128 divisors (see below), whose sum is σ = 730710097920. Its totient is φ = 87097662720.

The previous prime is 312223314101. The next prime is 312223314181. The reversal of 312223314102 is 201413322213.

312223314102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312223314101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302248578 + ... + 302249610.

It is an arithmetic number, because the mean of its divisors is an integer number (5708672640).

Almost surely, 2312223314102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312223314102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365355048960).

312223314102 is an abundant number, since it is smaller than the sum of its proper divisors (418486783818).

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

312223314102 is a wasteful number, since it uses less digits than its factorization.

312223314102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312223314102 its reverse (201413322213), we get a palindrome (513636636315).

The spelling of 312223314102 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 283 354 413 431 566 826 849 862 1033 1239 1293 1698 1981 2066 2478 2586 3017 3099 3962 5943 6034 6198 7231 9051 11886 14462 16697 18102 21693 25429 33394 43386 50091 50858 60947 76287 100182 116879 121894 121973 152574 178003 182841 233758 243946 292339 350637 356006 365682 365919 426629 445223 534009 584678 701274 731838 853258 853811 877017 890446 1068018 1279887 1335669 1707622 1754034 2046373 2559774 2561433 2671338 3116561 4092746 5122866 6139119 6233122 7196407 9349683 12278238 14392814 17248001 18699366 21589221 26268157 34496002 43178442 50374849 51744003 52536314 78804471 100749698 103488006 120736007 125998109 151124547 157608942 183877099 241472014 251996218 302249094 362208021 367754198 377994327 551631297 724416042 755988654 881986763 1103262594 1763973526 2645960289 5291920578 7433888431 14867776862 22301665293 44603330586 52037219017 104074438034 156111657051 312223314102