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312330231312 = 243113156333893
BaseRepresentation
bin1001000101110000101…
…01010001111000010000
31002212011211102200021220
410202320111101320100
520104123014400222
6355252120445040
731364556106521
oct4427025217020
91085154380256
10312330231312
11110505300610
1250646919780
13235b6517578
141118c962848
1581cee10b5c
hex48b8551e10

312330231312 has 160 divisors (see below), whose sum is σ = 910237741056. Its totient is φ = 91427059200.

The previous prime is 312330231307. The next prime is 312330231341. The reversal of 312330231312 is 213132033213.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9198238 + ... + 9232130.

Almost surely, 2312330231312 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 312330231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455118870528).

312330231312 is an abundant number, since it is smaller than the sum of its proper divisors (597907509744).

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

312330231312 is a wasteful number, since it uses less digits than its factorization.

312330231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34509 (or 34503 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312330231312 its reverse (213132033213), we get a palindrome (525462264525).

The spelling of 312330231312 in words is "three hundred twelve billion, three hundred thirty million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 563 682 744 1023 1126 1364 1488 1689 2046 2252 2728 3378 4092 4504 5456 6193 6756 8184 9008 12386 13512 16368 17453 18579 24772 27024 33893 34906 37158 49544 52359 67786 69812 74316 99088 101679 104718 135572 139624 148632 191983 203358 209436 271144 279248 297264 372823 383966 406716 418872 542288 575949 745646 767932 813432 837744 1050683 1118469 1151898 1491292 1535864 1626864 2101366 2236938 2303796 2982584 3071728 3152049 4202732 4473876 4607592 5965168 6304098 8405464 8947752 9215184 11557513 12608196 16810928 17895504 19081759 23115026 25216392 34672539 38163518 46230052 50432784 57245277 69345078 76327036 92460104 114490554 138690156 152654072 184920208 209899349 228981108 277380312 305308144 419798698 457962216 554760624 591534529 629698047 839597396 915924432 1183069058 1259396094 1679194792 1774603587 2366138116 2518792188 3358389584 3549207174 4732276232 5037584376 6506879819 7098414348 9464552464 10075168752 13013759638 14196828696 19520639457 26027519276 28393657392 39041278914 52055038552 78082557828 104110077104 156165115656 312330231312