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312000313130 = 251131398922937
BaseRepresentation
bin1001000101001001010…
…10101111011100101010
31002211022211122002121222
410202210222233130222
520102434040010010
6355155253302042
731353441622112
oct4424452573452
91084284562558
10312000313130
11110356052160
1250574334922
1323563072acc
141115ac02042
1581b0e92355
hex48a4aaf72a

312000313130 has 64 divisors (see below), whose sum is σ = 632604349440. Its totient is φ = 109762521600.

The previous prime is 312000313129. The next prime is 312000313169. The reversal of 312000313130 is 31313000213.

It is a junction number, because it is equal to n+sod(n) for n = 312000313099 and 312000313108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13591022 + ... + 13613958.

It is an arithmetic number, because the mean of its divisors is an integer number (9884442960).

Almost surely, 2312000313130 is an apocalyptic number.

312000313130 is an abundant number, since it is smaller than the sum of its proper divisors (320604036310).

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

312000313130 is a wasteful number, since it uses less digits than its factorization.

312000313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26975.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 312000313130 its reverse (31313000213), we get a palindrome (343313313343).

The spelling of 312000313130 in words is "three hundred twelve billion, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 682 1705 3410 3989 7978 19945 22937 39890 43879 45874 87758 114685 123659 219395 229370 247318 252307 438790 504614 618295 711047 1236590 1261535 1360249 1422094 2523070 2720498 3555235 6801245 7110470 7821517 13602490 15643034 39107585 78215170 91495693 182991386 457478465 914956930 1006452623 2012905246 2836366483 5032263115 5672732966 10064526230 14181832415 28363664830 31200031313 62400062626 156000156565 312000313130