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312021130320 = 2434548151409
BaseRepresentation
bin1001000101001011110…
…10001001110001010000
31002211101021210201110000
410202211322021301100
520103004402132240
6355201315410000
731354113563454
oct4424572116120
91084337721400
10312021130320
11110366880449
125057b2b3900
1323567481183
141115d8a0664
1581b2c05430
hex48a5e89c50

312021130320 has 100 divisors (see below), whose sum is σ = 1083695633460. Its totient is φ = 83205633024.

The previous prime is 312021130303. The next prime is 312021130321. The reversal of 312021130320 is 23031120213.

312021130320 is a `hidden beast` number, since 31 + 202 + 113 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75370015296 + 236651115024 = 274536^2 + 486468^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 312021130293 and 312021130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312021130321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24069225 + ... + 24082184.

Almost surely, 2312021130320 is an apocalyptic number.

312021130320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312021130320 is an abundant number, since it is smaller than the sum of its proper divisors (771674503140).

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

312021130320 is a wasteful number, since it uses less digits than its factorization.

312021130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48151434 (or 48151419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312021130320 its reverse (23031120213), we get a palindrome (335052250533).

The spelling of 312021130320 in words is "three hundred twelve billion, twenty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 48151409 96302818 144454227 192605636 240757045 288908454 385211272 433362681 481514090 577816908 722271135 770422544 866725362 963028180 1155633816 1300088043 1444542270 1733450724 1926056360 2166813405 2311267632 2600176086 2889084540 3466901448 3852112720 3900264129 4333626810 5200352172 5778169080 6500440215 6933802896 7800528258 8667253620 10400704344 11556338160 13000880430 15601056516 17334507240 19501320645 20801408688 26001760860 31202113032 34669014480 39002641290 52003521720 62404226064 78005282580 104007043440 156010565160 312021130320