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312131340214320 = 243511439732688731
BaseRepresentation
bin100011011111000011011110…
…1101010000010000000110000
31111221011110112202210212200210
41012332012331222002000300
5311402424441043324240
63023503054054544120
7122513513405060244
oct10676067552020060
91457143482725623
10312131340214320
11905001813382a0
122b01118a368040
1310521b22544443
1457113478ac424
1526143bc0c8780
hex11be1bda82030

312131340214320 has 160 divisors (see below), whose sum is σ = 1055595839042304. Its totient is φ = 75666454758400.

The previous prime is 312131340214319. The next prime is 312131340214321. The reversal of 312131340214320 is 23412043131213.

It is an interprime number because it is at equal distance from previous prime (312131340214319) and next prime (312131340214321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312131340214321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114744355 + ... + 117433085.

Almost surely, 2312131340214320 is an apocalyptic number.

312131340214320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131340214320 is an abundant number, since it is smaller than the sum of its proper divisors (743464498827984).

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

312131340214320 is a wasteful number, since it uses less digits than its factorization.

312131340214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732731 (or 2732725 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312131340214320 its reverse (23412043131213), we get a palindrome (335543383345533).

The spelling of 312131340214320 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred forty million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 43973 87946 131919 175892 219865 263838 351784 439730 483703 527676 659595 703568 879460 967406 1055352 1319190 1451109 1758920 1934812 2110704 2418515 2638380 2688731 2902218 3517840 3869624 4837030 5276760 5377462 5804436 7255545 7739248 8066193 9674060 10553520 10754924 11608872 13443655 14511090 16132386 19348120 21509848 23217744 26887310 29022180 29576041 32264772 38696240 40330965 43019696 53774620 58044360 59152082 64529544 80661930 88728123 107549240 116088720 118304164 129059088 147880205 161323860 177456246 215098480 236608328 295760410 322647720 354912492 443640615 473216656 591520820 645295440 709824984 887281230 1183041640 1419649968 1774562460 2366083280 3549124920 7098249840 118231568263 236463136526 354694704789 472926273052 591157841315 709389409578 945852546104 1182315682630 1300547250893 1418778819156 1773473523945 1891705092208 2364631365260 2601094501786 2837557638312 3546947047890 3901641752679 4729262730520 5202189003572 5675115276624 6502736254465 7093894095780 7803283505358 9458525461040 10404378007144 13005472508930 14187788191560 15606567010716 19508208763395 20808756014288 26010945017860 28375576383120 31213134021432 39016417526790 52021890035720 62426268042864 78032835053580 104043780071440 156065670107160 312131340214320