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312311220330 = 235233311367447
BaseRepresentation
bin1001000101101110011…
…00110000100001101010
31002212010111122211010110
410202313030300201222
520104103133022310
6355250201155150
731364235400104
oct4426714604152
91085114584113
10312311220330
111104a55a635a
125064048bab6
13235b25bc375
141118a214574
1581cd407d20
hex48b733086a

312311220330 has 64 divisors (see below), whose sum is σ = 784499447808. Its totient is φ = 79421263680.

The previous prime is 312311220329. The next prime is 312311220337. The reversal of 312311220330 is 33022113213.

It is a junction number, because it is equal to n+sod(n) for n = 312311220297 and 312311220306.

It is not an unprimeable number, because it can be changed into a prime (312311220337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455334 + ... + 912113.

It is an arithmetic number, because the mean of its divisors is an integer number (12257803872).

Almost surely, 2312311220330 is an apocalyptic number.

312311220330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312311220330 is an abundant number, since it is smaller than the sum of its proper divisors (472188227478).

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

312311220330 is a wasteful number, since it uses less digits than its factorization.

312311220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367811.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312311220330 its reverse (33022113213), we get a palindrome (345333333543).

The spelling of 312311220330 in words is "three hundred twelve billion, three hundred eleven million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 331 345 662 690 993 1655 1986 3310 4965 7613 9930 15226 22839 38065 45678 76130 114195 228390 1367447 2734894 4102341 6837235 8204682 13674470 20511705 31451281 41023410 62902562 94353843 157256405 188707686 314512810 452624957 471769215 905249914 943538430 1357874871 2263124785 2715749742 4526249570 6789374355 10410374011 13578748710 20820748022 31231122033 52051870055 62462244066 104103740110 156155610165 312311220330