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312130312000 = 2653133001253
BaseRepresentation
bin1001000101011000110…
…10101001011101000000
31002211122220020201112221
410202230122221131000
520103220324441000
6355220215500424
731356610606423
oct4425432513500
91084586221487
10312130312000
11110412473241
12505ab987714
1323583c8ac10
14111701a19ba
1581bc5c061a
hex48ac6a9740

312130312000 has 112 divisors (see below), whose sum is σ = 832451819472. Its totient is φ = 115248076800.

The previous prime is 312130311943. The next prime is 312130312069. The reversal of 312130312000 is 213031213.

It can be written as a sum of positive squares in 8 ways, for example, as 81745671744 + 230384640256 = 285912^2 + 479984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396627 + ... + 1604626.

It is an arithmetic number, because the mean of its divisors is an integer number (7432605531).

Almost surely, 2312130312000 is an apocalyptic number.

It is an amenable number.

312130312000 is an abundant number, since it is smaller than the sum of its proper divisors (520321507472).

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

312130312000 is a wasteful number, since it uses less digits than its factorization.

312130312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001293 (or 3001273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312130312000 its reverse (213031213), we get a palindrome (312343343213).

The spelling of 312130312000 in words is "three hundred twelve billion, one hundred thirty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 3001253 6002506 12005012 15006265 24010024 30012530 39016289 48020048 60025060 75031325 78032578 96040096 120050120 150062650 156065156 192080192 195081445 240100240 300125300 312130312 375156625 390162890 480200480 600250600 624260624 750313250 780325780 960400960 975407225 1200501200 1248521248 1500626500 1560651560 1950814450 2401002400 2497042496 3001253000 3121303120 3901628900 4802004800 4877036125 6002506000 6242606240 7803257800 9754072250 12005012000 12485212480 15606515600 19508144500 24010024000 31213031200 39016289000 62426062400 78032578000 156065156000 312130312000