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312030320130 = 232519359330293
BaseRepresentation
bin1001000101001100111…
…01001101011000000010
31002211101221002121111100
410202212131031120002
520103014230221010
6355202244355230
731354254650064
oct4424635153002
91084357077440
10312030320130
11110370a87931
12505823a5b16
132356934b029
1411160bb3734
1581b391d2c0
hex48a674d602

312030320130 has 96 divisors (see below), whose sum is σ = 816884495856. Its totient is φ = 82634637312.

The previous prime is 312030320081. The next prime is 312030320149. The reversal of 312030320130 is 31023030213.

312030320130 is a `hidden beast` number, since 312 + 0 + 3 + 0 + 320 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98589092121 + 213441228009 = 313989^2 + 461997^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10285264 + ... + 10315556.

Almost surely, 2312030320130 is an apocalyptic number.

312030320130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312030320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408442247928).

312030320130 is an abundant number, since it is smaller than the sum of its proper divisors (504854175726).

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

312030320130 is a wasteful number, since it uses less digits than its factorization.

312030320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31092 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312030320130 its reverse (31023030213), we get a palindrome (343053350343).

The spelling of 312030320130 in words is "three hundred twelve billion, thirty million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 593 965 1158 1186 1737 1779 1930 2895 2965 3474 3558 5337 5790 5930 8685 8895 10674 17370 17790 26685 30293 53370 60586 90879 114449 151465 181758 228898 272637 302930 343347 454395 545274 572245 686694 908790 1030041 1144490 1363185 1716735 2060082 2726370 3433470 5150205 5846549 10300410 11693098 17539647 17963749 29232745 35079294 35927498 52618941 53891247 58465490 87698235 89818745 105237882 107782494 161673741 175396470 179637490 263094705 269456235 323347482 526189410 538912470 808368705 1616737410 3467003557 6934007114 10401010671 17335017785 20802021342 31203032013 34670035570 52005053355 62406064026 104010106710 156015160065 312030320130