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312301303111122 = 2313131281558119489
BaseRepresentation
bin100011100000010010101000…
…0001111000001110111010010
31111221202201020202222121210120
41013000211100033001313102
5311413221032044023442
63024113123225411110
7122532011265623643
oct10700452017016722
91457681222877716
10312301303111122
1190566269a23266
122b03a102639a96
1310534b6a8aa370
14571966c6476ca
152618a185454ec
hex11c09503c1dd2

312301303111122 has 128 divisors (see below), whose sum is σ = 680352511829760. Its totient is φ = 94997919744000.

The previous prime is 312301303111033. The next prime is 312301303111139. The reversal of 312301303111122 is 221111303103213.

It is a junction number, because it is equal to n+sod(n) for n = 312301303111092 and 312301303111101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16024481154 + ... + 16024500642.

It is an arithmetic number, because the mean of its divisors is an integer number (5315253998670).

Almost surely, 2312301303111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312301303111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340176255914880).

312301303111122 is an abundant number, since it is smaller than the sum of its proper divisors (368051208718638).

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

312301303111122 is a wasteful number, since it uses less digits than its factorization.

312301303111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 312301303111122 its reverse (221111303103213), we get a palindrome (533412606214335).

The spelling of 312301303111122 in words is "three hundred twelve trillion, three hundred one billion, three hundred three million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 262 281 393 562 786 843 1686 1703 3406 3653 5109 5581 7306 10218 10959 11162 16743 19489 21918 33486 36811 38978 58467 72553 73622 110433 116934 145106 217659 220866 253357 435318 478543 506714 731111 760071 957086 1435629 1462222 1520142 1568261 2193333 2553059 2871258 3136522 4386666 4704783 5106118 5476409 7659177 9409566 9504443 10952818 15318354 16429227 19008886 20387393 28513329 32858454 33189767 40774786 57026658 61162179 66379534 71193317 99569301 108768109 122324358 142386634 199138602 205442191 213579951 217536218 326304327 410884382 427159902 616326573 652608654 717409579 1232653146 1413985417 1434819158 2152228737 2670748483 2827970834 4241956251 4304457474 5341496966 8012245449 8483912502 9326324527 14248622279 16024490898 18652649054 27978973581 28497244558 30563838629 42745866837 55957947162 61127677258 85491733674 91691515887 183383031774 185232089627 370464179254 397329902177 555696268881 794659804354 1111392537762 1191989706531 2383979413062 4003862860399 8007725720798 12011588581197 24023177162394 52050217185187 104100434370374 156150651555561 312301303111122